07-Jan-2022 22:41:36 least_squares_approximant_test(): MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2 Test least_squares_approximant(). least_squares_approximant_test01: Approximate data from TEST_INTERP problem #1 using a least squares polynomial of degree 1 Number of data points = 18 Data array: Row: 1 2 Col 1: 0 4 2: 1 5 3: 2 6 4: 4 6 5: 5 5 6: 6 3 7: 7 1 8: 8 1 9: 9 1 10: 10 3 11: 11 4 12: 12 4 13: 13 3 14: 14 3 15: 15 4 16: 16 4 17: 17 3 18: 18 0 Averaged L2 approximation error at data nodes = 0.350074 Normalized length of piecewise linear interpolant = 3.13553 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Normalized length of least squares approximant = 1.08357 Created plot file "p01_data.png". Created plot file "p01_d01.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #1 using a least squares polynomial of degree 2 Number of data points = 18 Data array: Row: 1 2 Col 1: 0 4 2: 1 5 3: 2 6 4: 4 6 5: 5 5 6: 6 3 7: 7 1 8: 8 1 9: 9 1 10: 10 3 11: 11 4 12: 12 4 13: 13 3 14: 14 3 15: 15 4 16: 16 4 17: 17 3 18: 18 0 Averaged L2 approximation error at data nodes = 0.344057 Normalized length of piecewise linear interpolant = 3.13553 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Normalized length of least squares approximant = 1.12211 Created plot file "p01_data.png". Created plot file "p01_d02.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #1 using a least squares polynomial of degree 3 Number of data points = 18 Data array: Row: 1 2 Col 1: 0 4 2: 1 5 3: 2 6 4: 4 6 5: 5 5 6: 6 3 7: 7 1 8: 8 1 9: 9 1 10: 10 3 11: 11 4 12: 12 4 13: 13 3 14: 14 3 15: 15 4 16: 16 4 17: 17 3 18: 18 0 Averaged L2 approximation error at data nodes = 0.332868 Normalized length of piecewise linear interpolant = 3.13553 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Normalized length of least squares approximant = 1.31026 Created plot file "p01_data.png". Created plot file "p01_d03.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #1 using a least squares polynomial of degree 4 Number of data points = 18 Data array: Row: 1 2 Col 1: 0 4 2: 1 5 3: 2 6 4: 4 6 5: 5 5 6: 6 3 7: 7 1 8: 8 1 9: 9 1 10: 10 3 11: 11 4 12: 12 4 13: 13 3 14: 14 3 15: 15 4 16: 16 4 17: 17 3 18: 18 0 Averaged L2 approximation error at data nodes = 0.199123 Normalized length of piecewise linear interpolant = 3.13553 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Normalized length of least squares approximant = 2.51647 Created plot file "p01_data.png". Created plot file "p01_d04.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #1 using a least squares polynomial of degree 5 Number of data points = 18 Data array: Row: 1 2 Col 1: 0 4 2: 1 5 3: 2 6 4: 4 6 5: 5 5 6: 6 3 7: 7 1 8: 8 1 9: 9 1 10: 10 3 11: 11 4 12: 12 4 13: 13 3 14: 14 3 15: 15 4 16: 16 4 17: 17 3 18: 18 0 Averaged L2 approximation error at data nodes = 0.190907 Normalized length of piecewise linear interpolant = 3.13553 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Normalized length of least squares approximant = 2.60932 Created plot file "p01_data.png". Created plot file "p01_d05.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #1 using a least squares polynomial of degree 6 Number of data points = 18 Data array: Row: 1 2 Col 1: 0 4 2: 1 5 3: 2 6 4: 4 6 5: 5 5 6: 6 3 7: 7 1 8: 8 1 9: 9 1 10: 10 3 11: 11 4 12: 12 4 13: 13 3 14: 14 3 15: 15 4 16: 16 4 17: 17 3 18: 18 0 Averaged L2 approximation error at data nodes = 0.189739 Normalized length of piecewise linear interpolant = 3.13553 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Normalized length of least squares approximant = 2.59548 Created plot file "p01_data.png". Created plot file "p01_d06.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #2 using a least squares polynomial of degree 1 Number of data points = 18 Data array: Row: 1 2 Col 1: 0 0 2: 1.34 5 3: 5 8.66 4: 10 10 5: 10.6 10.4 6: 10.7 12 7: 10.705 28.6 8: 10.8 30.2 9: 11.4 30.6 10: 19.6 30.6 11: 20.2 30.2 12: 20.295 28.6 13: 20.3 12 14: 20.4 10.4 15: 21 10 16: 26 8.66 17: 29.66 5 18: 31 0 Averaged L2 approximation error at data nodes = 2.58162 Normalized length of piecewise linear interpolant = 2.66086 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Created plot file "p02_data.png". Created plot file "p02_d01.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #2 using a least squares polynomial of degree 2 Number of data points = 18 Data array: Row: 1 2 Col 1: 0 0 2: 1.34 5 3: 5 8.66 4: 10 10 5: 10.6 10.4 6: 10.7 12 7: 10.705 28.6 8: 10.8 30.2 9: 11.4 30.6 10: 19.6 30.6 11: 20.2 30.2 12: 20.295 28.6 13: 20.3 12 14: 20.4 10.4 15: 21 10 16: 26 8.66 17: 29.66 5 18: 31 0 Averaged L2 approximation error at data nodes = 1.80946 Normalized length of piecewise linear interpolant = 2.66086 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Created plot file "p02_data.png". Created plot file "p02_d02.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #2 using a least squares polynomial of degree 3 Number of data points = 18 Data array: Row: 1 2 Col 1: 0 0 2: 1.34 5 3: 5 8.66 4: 10 10 5: 10.6 10.4 6: 10.7 12 7: 10.705 28.6 8: 10.8 30.2 9: 11.4 30.6 10: 19.6 30.6 11: 20.2 30.2 12: 20.295 28.6 13: 20.3 12 14: 20.4 10.4 15: 21 10 16: 26 8.66 17: 29.66 5 18: 31 0 Averaged L2 approximation error at data nodes = 1.80946 Normalized length of piecewise linear interpolant = 2.66086 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Normalized length of least squares approximant = 1.88131 Created plot file "p02_data.png". Created plot file "p02_d03.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #2 using a least squares polynomial of degree 4 Number of data points = 18 Data array: Row: 1 2 Col 1: 0 0 2: 1.34 5 3: 5 8.66 4: 10 10 5: 10.6 10.4 6: 10.7 12 7: 10.705 28.6 8: 10.8 30.2 9: 11.4 30.6 10: 19.6 30.6 11: 20.2 30.2 12: 20.295 28.6 13: 20.3 12 14: 20.4 10.4 15: 21 10 16: 26 8.66 17: 29.66 5 18: 31 0 Averaged L2 approximation error at data nodes = 1.76341 Normalized length of piecewise linear interpolant = 2.66086 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Created plot file "p02_data.png". Created plot file "p02_d04.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #2 using a least squares polynomial of degree 5 Number of data points = 18 Data array: Row: 1 2 Col 1: 0 0 2: 1.34 5 3: 5 8.66 4: 10 10 5: 10.6 10.4 6: 10.7 12 7: 10.705 28.6 8: 10.8 30.2 9: 11.4 30.6 10: 19.6 30.6 11: 20.2 30.2 12: 20.295 28.6 13: 20.3 12 14: 20.4 10.4 15: 21 10 16: 26 8.66 17: 29.66 5 18: 31 0 Averaged L2 approximation error at data nodes = 1.76341 Normalized length of piecewise linear interpolant = 2.66086 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Normalized length of least squares approximant = 1.90124 Created plot file "p02_data.png". Created plot file "p02_d05.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #2 using a least squares polynomial of degree 6 Number of data points = 18 Data array: Row: 1 2 Col 1: 0 0 2: 1.34 5 3: 5 8.66 4: 10 10 5: 10.6 10.4 6: 10.7 12 7: 10.705 28.6 8: 10.8 30.2 9: 11.4 30.6 10: 19.6 30.6 11: 20.2 30.2 12: 20.295 28.6 13: 20.3 12 14: 20.4 10.4 15: 21 10 16: 26 8.66 17: 29.66 5 18: 31 0 Averaged L2 approximation error at data nodes = 1.63488 Normalized length of piecewise linear interpolant = 2.66086 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Normalized length of least squares approximant = 3.36199 Created plot file "p02_data.png". Created plot file "p02_d06.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #3 using a least squares polynomial of degree 1 Number of data points = 11 Data array: Row: 1 2 Col 1: 0 0 2: 2 10 3: 3 10 4: 5 10 5: 6 10 6: 8 10 7: 9 10.5 8: 11 15 9: 12 50 10: 14 60 11: 15 85 Averaged L2 approximation error at data nodes = 4.4679 Normalized length of piecewise linear interpolant = 1.68472 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Normalized length of least squares approximant = 1.28026 Created plot file "p03_data.png". Created plot file "p03_d01.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #3 using a least squares polynomial of degree 2 Number of data points = 11 Data array: Row: 1 2 Col 1: 0 0 2: 2 10 3: 3 10 4: 5 10 5: 6 10 6: 8 10 7: 9 10.5 8: 11 15 9: 12 50 10: 14 60 11: 15 85 Averaged L2 approximation error at data nodes = 2.59431 Normalized length of piecewise linear interpolant = 1.68472 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Normalized length of least squares approximant = 1.48631 Created plot file "p03_data.png". Created plot file "p03_d02.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #3 using a least squares polynomial of degree 3 Number of data points = 11 Data array: Row: 1 2 Col 1: 0 0 2: 2 10 3: 3 10 4: 5 10 5: 6 10 6: 8 10 7: 9 10.5 8: 11 15 9: 12 50 10: 14 60 11: 15 85 Averaged L2 approximation error at data nodes = 1.74627 Normalized length of piecewise linear interpolant = 1.68472 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Normalized length of least squares approximant = 1.58943 Created plot file "p03_data.png". Created plot file "p03_d03.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #3 using a least squares polynomial of degree 4 Number of data points = 11 Data array: Row: 1 2 Col 1: 0 0 2: 2 10 3: 3 10 4: 5 10 5: 6 10 6: 8 10 7: 9 10.5 8: 11 15 9: 12 50 10: 14 60 11: 15 85 Averaged L2 approximation error at data nodes = 1.68297 Normalized length of piecewise linear interpolant = 1.68472 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Normalized length of least squares approximant = 1.61226 Created plot file "p03_data.png". Created plot file "p03_d04.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #3 using a least squares polynomial of degree 5 Number of data points = 11 Data array: Row: 1 2 Col 1: 0 0 2: 2 10 3: 3 10 4: 5 10 5: 6 10 6: 8 10 7: 9 10.5 8: 11 15 9: 12 50 10: 14 60 11: 15 85 Averaged L2 approximation error at data nodes = 1.66663 Normalized length of piecewise linear interpolant = 1.68472 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Normalized length of least squares approximant = 1.59507 Created plot file "p03_data.png". Created plot file "p03_d05.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #3 using a least squares polynomial of degree 6 Number of data points = 11 Data array: Row: 1 2 Col 1: 0 0 2: 2 10 3: 3 10 4: 5 10 5: 6 10 6: 8 10 7: 9 10.5 8: 11 15 9: 12 50 10: 14 60 11: 15 85 Averaged L2 approximation error at data nodes = 1.64323 Normalized length of piecewise linear interpolant = 1.68472 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Normalized length of least squares approximant = 1.62067 Created plot file "p03_data.png". Created plot file "p03_d06.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #4 using a least squares polynomial of degree 1 Number of data points = 8 Data array: Row: 1 2 Col 1: 0 0 2: 0.05 0.7 3: 0.1 1 4: 0.2 1 5: 0.8 0.3 6: 0.85 0.05 7: 0.9 0.1 8: 1 1 Averaged L2 approximation error at data nodes = 0.146011 Normalized length of piecewise linear interpolant = 3.25908 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Normalized length of least squares approximant = 1.02803 Created plot file "p04_data.png". Created plot file "p04_d01.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #4 using a least squares polynomial of degree 2 Number of data points = 8 Data array: Row: 1 2 Col 1: 0 0 2: 0.05 0.7 3: 0.1 1 4: 0.2 1 5: 0.8 0.3 6: 0.85 0.05 7: 0.9 0.1 8: 1 1 Averaged L2 approximation error at data nodes = 0.14598 Normalized length of piecewise linear interpolant = 3.25908 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Normalized length of least squares approximant = 1.03194 Created plot file "p04_data.png". Created plot file "p04_d02.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #4 using a least squares polynomial of degree 3 Number of data points = 8 Data array: Row: 1 2 Col 1: 0 0 2: 0.05 0.7 3: 0.1 1 4: 0.2 1 5: 0.8 0.3 6: 0.85 0.05 7: 0.9 0.1 8: 1 1 Averaged L2 approximation error at data nodes = 0.0559589 Normalized length of piecewise linear interpolant = 3.25908 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Normalized length of least squares approximant = 3.3304 Created plot file "p04_data.png". Created plot file "p04_d03.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #4 using a least squares polynomial of degree 4 Number of data points = 8 Data array: Row: 1 2 Col 1: 0 0 2: 0.05 0.7 3: 0.1 1 4: 0.2 1 5: 0.8 0.3 6: 0.85 0.05 7: 0.9 0.1 8: 1 1 Averaged L2 approximation error at data nodes = 0.0559577 Normalized length of piecewise linear interpolant = 3.25908 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Normalized length of least squares approximant = 3.32957 Created plot file "p04_data.png". Created plot file "p04_d04.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #4 using a least squares polynomial of degree 5 Number of data points = 8 Data array: Row: 1 2 Col 1: 0 0 2: 0.05 0.7 3: 0.1 1 4: 0.2 1 5: 0.8 0.3 6: 0.85 0.05 7: 0.9 0.1 8: 1 1 Averaged L2 approximation error at data nodes = 0.00829484 Normalized length of piecewise linear interpolant = 3.25908 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Normalized length of least squares approximant = 3.58478 Created plot file "p04_data.png". Created plot file "p04_d05.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #4 using a least squares polynomial of degree 6 Number of data points = 8 Data array: Row: 1 2 Col 1: 0 0 2: 0.05 0.7 3: 0.1 1 4: 0.2 1 5: 0.8 0.3 6: 0.85 0.05 7: 0.9 0.1 8: 1 1 Averaged L2 approximation error at data nodes = 0.0065995 Normalized length of piecewise linear interpolant = 3.25908 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Normalized length of least squares approximant = 4.43914 Created plot file "p04_data.png". Created plot file "p04_d06.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #5 using a least squares polynomial of degree 1 Number of data points = 9 Data array: Row: 1 2 Col 1: 0 0 2: 0.1 0.9 3: 0.2 0.95 4: 0.3 0.9 5: 0.4 0.1 6: 0.5 0.05 7: 0.6 0.05 8: 0.8 0.2 9: 1 1 Averaged L2 approximation error at data nodes = 0.143322 Normalized length of piecewise linear interpolant = 3.2218 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Normalized length of least squares approximant = 1.00003 Created plot file "p05_data.png". Created plot file "p05_d01.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #5 using a least squares polynomial of degree 2 Number of data points = 9 Data array: Row: 1 2 Col 1: 0 0 2: 0.1 0.9 3: 0.2 0.95 4: 0.3 0.9 5: 0.4 0.1 6: 0.5 0.05 7: 0.6 0.05 8: 0.8 0.2 9: 1 1 Averaged L2 approximation error at data nodes = 0.13517 Normalized length of piecewise linear interpolant = 3.2218 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Normalized length of least squares approximant = 1.31038 Created plot file "p05_data.png". Created plot file "p05_d02.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #5 using a least squares polynomial of degree 3 Number of data points = 9 Data array: Row: 1 2 Col 1: 0 0 2: 0.1 0.9 3: 0.2 0.95 4: 0.3 0.9 5: 0.4 0.1 6: 0.5 0.05 7: 0.6 0.05 8: 0.8 0.2 9: 1 1 Averaged L2 approximation error at data nodes = 0.0717904 Normalized length of piecewise linear interpolant = 3.2218 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Normalized length of least squares approximant = 3.05546 Created plot file "p05_data.png". Created plot file "p05_d03.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #5 using a least squares polynomial of degree 4 Number of data points = 9 Data array: Row: 1 2 Col 1: 0 0 2: 0.1 0.9 3: 0.2 0.95 4: 0.3 0.9 5: 0.4 0.1 6: 0.5 0.05 7: 0.6 0.05 8: 0.8 0.2 9: 1 1 Averaged L2 approximation error at data nodes = 0.0391096 Normalized length of piecewise linear interpolant = 3.2218 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Normalized length of least squares approximant = 3.42544 Created plot file "p05_data.png". Created plot file "p05_d04.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #5 using a least squares polynomial of degree 5 Number of data points = 9 Data array: Row: 1 2 Col 1: 0 0 2: 0.1 0.9 3: 0.2 0.95 4: 0.3 0.9 5: 0.4 0.1 6: 0.5 0.05 7: 0.6 0.05 8: 0.8 0.2 9: 1 1 Averaged L2 approximation error at data nodes = 0.03589 Normalized length of piecewise linear interpolant = 3.2218 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Normalized length of least squares approximant = 3.41454 Created plot file "p05_data.png". Created plot file "p05_d05.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #5 using a least squares polynomial of degree 6 Number of data points = 9 Data array: Row: 1 2 Col 1: 0 0 2: 0.1 0.9 3: 0.2 0.95 4: 0.3 0.9 5: 0.4 0.1 6: 0.5 0.05 7: 0.6 0.05 8: 0.8 0.2 9: 1 1 Averaged L2 approximation error at data nodes = 0.0297341 Normalized length of piecewise linear interpolant = 3.2218 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Normalized length of least squares approximant = 3.79663 Created plot file "p05_data.png". Created plot file "p05_d06.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #6 using a least squares polynomial of degree 1 Number of data points = 49 Data array: Row: 1 2 Col 1: 595 0.644 2: 605 0.622 3: 615 0.638 4: 625 0.649 5: 635 0.652 6: 645 0.639 7: 655 0.646 8: 665 0.657 9: 675 0.652 10: 685 0.655 11: 695 0.644 12: 705 0.663 13: 715 0.663 14: 725 0.668 15: 735 0.676 16: 745 0.676 17: 755 0.686 18: 765 0.679 19: 775 0.678 20: 785 0.683 21: 795 0.694 22: 805 0.699 23: 815 0.71 24: 825 0.73 25: 835 0.763 26: 845 0.812 27: 855 0.907 28: 865 1.044 29: 875 1.336 30: 885 1.881 31: 895 2.169 32: 905 2.075 33: 915 1.598 34: 925 1.211 35: 935 0.916 36: 945 0.746 37: 955 0.672 38: 965 0.627 39: 975 0.615 40: 985 0.607 41: 995 0.606 42: 1005 0.609 43: 1015 0.603 44: 1025 0.601 45: 1035 0.603 46: 1045 0.601 47: 1055 0.611 48: 1065 0.601 49: 1075 0.608 Averaged L2 approximation error at data nodes = 0.0525121 Normalized length of piecewise linear interpolant = 2.68209 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Normalized length of least squares approximant = 1.0062 Created plot file "p06_data.png". Created plot file "p06_d01.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #6 using a least squares polynomial of degree 2 Number of data points = 49 Data array: Row: 1 2 Col 1: 595 0.644 2: 605 0.622 3: 615 0.638 4: 625 0.649 5: 635 0.652 6: 645 0.639 7: 655 0.646 8: 665 0.657 9: 675 0.652 10: 685 0.655 11: 695 0.644 12: 705 0.663 13: 715 0.663 14: 725 0.668 15: 735 0.676 16: 745 0.676 17: 755 0.686 18: 765 0.679 19: 775 0.678 20: 785 0.683 21: 795 0.694 22: 805 0.699 23: 815 0.71 24: 825 0.73 25: 835 0.763 26: 845 0.812 27: 855 0.907 28: 865 1.044 29: 875 1.336 30: 885 1.881 31: 895 2.169 32: 905 2.075 33: 915 1.598 34: 925 1.211 35: 935 0.916 36: 945 0.746 37: 955 0.672 38: 965 0.627 39: 975 0.615 40: 985 0.607 41: 995 0.606 42: 1005 0.609 43: 1015 0.603 44: 1025 0.601 45: 1035 0.603 46: 1045 0.601 47: 1055 0.611 48: 1065 0.601 49: 1075 0.608 Averaged L2 approximation error at data nodes = 0.0473605 Normalized length of piecewise linear interpolant = 2.68209 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Normalized length of least squares approximant = 1.2402 Created plot file "p06_data.png". Created plot file "p06_d02.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #6 using a least squares polynomial of degree 3 Number of data points = 49 Data array: Row: 1 2 Col 1: 595 0.644 2: 605 0.622 3: 615 0.638 4: 625 0.649 5: 635 0.652 6: 645 0.639 7: 655 0.646 8: 665 0.657 9: 675 0.652 10: 685 0.655 11: 695 0.644 12: 705 0.663 13: 715 0.663 14: 725 0.668 15: 735 0.676 16: 745 0.676 17: 755 0.686 18: 765 0.679 19: 775 0.678 20: 785 0.683 21: 795 0.694 22: 805 0.699 23: 815 0.71 24: 825 0.73 25: 835 0.763 26: 845 0.812 27: 855 0.907 28: 865 1.044 29: 875 1.336 30: 885 1.881 31: 895 2.169 32: 905 2.075 33: 915 1.598 34: 925 1.211 35: 935 0.916 36: 945 0.746 37: 955 0.672 38: 965 0.627 39: 975 0.615 40: 985 0.607 41: 995 0.606 42: 1005 0.609 43: 1015 0.603 44: 1025 0.601 45: 1035 0.603 46: 1045 0.601 47: 1055 0.611 48: 1065 0.601 49: 1075 0.608 Averaged L2 approximation error at data nodes = 0.0437687 Normalized length of piecewise linear interpolant = 2.68209 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Normalized length of least squares approximant = 1.43902 Created plot file "p06_data.png". Created plot file "p06_d03.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #6 using a least squares polynomial of degree 4 Number of data points = 49 Data array: Row: 1 2 Col 1: 595 0.644 2: 605 0.622 3: 615 0.638 4: 625 0.649 5: 635 0.652 6: 645 0.639 7: 655 0.646 8: 665 0.657 9: 675 0.652 10: 685 0.655 11: 695 0.644 12: 705 0.663 13: 715 0.663 14: 725 0.668 15: 735 0.676 16: 745 0.676 17: 755 0.686 18: 765 0.679 19: 775 0.678 20: 785 0.683 21: 795 0.694 22: 805 0.699 23: 815 0.71 24: 825 0.73 25: 835 0.763 26: 845 0.812 27: 855 0.907 28: 865 1.044 29: 875 1.336 30: 885 1.881 31: 895 2.169 32: 905 2.075 33: 915 1.598 34: 925 1.211 35: 935 0.916 36: 945 0.746 37: 955 0.672 38: 965 0.627 39: 975 0.615 40: 985 0.607 41: 995 0.606 42: 1005 0.609 43: 1015 0.603 44: 1025 0.601 45: 1035 0.603 46: 1045 0.601 47: 1055 0.611 48: 1065 0.601 49: 1075 0.608 [Warning: Rank deficient, rank = 4, tol = 5.115918e-02.] [> In least_squares_approximant_coef (line 67) In least_squares_approximant_test01 (line 43) In least_squares_approximant_test (line 31) In run (line 91) ] Averaged L2 approximation error at data nodes = 0.0443293 Normalized length of piecewise linear interpolant = 2.68209 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Normalized length of least squares approximant = 1.41035 Created plot file "p06_data.png". Created plot file "p06_d04.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #6 using a least squares polynomial of degree 5 Number of data points = 49 Data array: Row: 1 2 Col 1: 595 0.644 2: 605 0.622 3: 615 0.638 4: 625 0.649 5: 635 0.652 6: 645 0.639 7: 655 0.646 8: 665 0.657 9: 675 0.652 10: 685 0.655 11: 695 0.644 12: 705 0.663 13: 715 0.663 14: 725 0.668 15: 735 0.676 16: 745 0.676 17: 755 0.686 18: 765 0.679 19: 775 0.678 20: 785 0.683 21: 795 0.694 22: 805 0.699 23: 815 0.71 24: 825 0.73 25: 835 0.763 26: 845 0.812 27: 855 0.907 28: 865 1.044 29: 875 1.336 30: 885 1.881 31: 895 2.169 32: 905 2.075 33: 915 1.598 34: 925 1.211 35: 935 0.916 36: 945 0.746 37: 955 0.672 38: 965 0.627 39: 975 0.615 40: 985 0.607 41: 995 0.606 42: 1005 0.609 43: 1015 0.603 44: 1025 0.601 45: 1035 0.603 46: 1045 0.601 47: 1055 0.611 48: 1065 0.601 49: 1075 0.608 [Warning: Rank deficient, rank = 4, tol = 5.005005e+01.] [> In least_squares_approximant_coef (line 67) In least_squares_approximant_test01 (line 43) In least_squares_approximant_test (line 31) In run (line 91) ] Averaged L2 approximation error at data nodes = 0.0448312 Normalized length of piecewise linear interpolant = 2.68209 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Normalized length of least squares approximant = 1.39049 Created plot file "p06_data.png". Created plot file "p06_d05.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #6 using a least squares polynomial of degree 6 Number of data points = 49 Data array: Row: 1 2 Col 1: 595 0.644 2: 605 0.622 3: 615 0.638 4: 625 0.649 5: 635 0.652 6: 645 0.639 7: 655 0.646 8: 665 0.657 9: 675 0.652 10: 685 0.655 11: 695 0.644 12: 705 0.663 13: 715 0.663 14: 725 0.668 15: 735 0.676 16: 745 0.676 17: 755 0.686 18: 765 0.679 19: 775 0.678 20: 785 0.683 21: 795 0.694 22: 805 0.699 23: 815 0.71 24: 825 0.73 25: 835 0.763 26: 845 0.812 27: 855 0.907 28: 865 1.044 29: 875 1.336 30: 885 1.881 31: 895 2.169 32: 905 2.075 33: 915 1.598 34: 925 1.211 35: 935 0.916 36: 945 0.746 37: 955 0.672 38: 965 0.627 39: 975 0.615 40: 985 0.607 41: 995 0.606 42: 1005 0.609 43: 1015 0.603 44: 1025 0.601 45: 1035 0.603 46: 1045 0.601 47: 1055 0.611 48: 1065 0.601 49: 1075 0.608 [Warning: Rank deficient, rank = 4, tol = 4.974098e+04.] [> In least_squares_approximant_coef (line 67) In least_squares_approximant_test01 (line 43) In least_squares_approximant_test (line 31) In run (line 91) ] Averaged L2 approximation error at data nodes = 0.0451223 Normalized length of piecewise linear interpolant = 2.68209 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Normalized length of least squares approximant = 1.37352 Created plot file "p06_data.png". Created plot file "p06_d06.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #7 using a least squares polynomial of degree 1 Number of data points = 4 Data array: Row: 1 2 Col 1: 0 1 2: 1 2 3: 4 2 4: 5 1 Averaged L2 approximation error at data nodes = 0.25 Normalized length of piecewise linear interpolant = 2.63961 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Normalized length of least squares approximant = 1 Created plot file "p07_data.png". Created plot file "p07_d01.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #7 using a least squares polynomial of degree 2 Number of data points = 4 Data array: Row: 1 2 Col 1: 0 1 2: 1 2 3: 4 2 4: 5 1 Averaged L2 approximation error at data nodes = 7.19507e-16 Normalized length of piecewise linear interpolant = 2.63961 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Created plot file "p07_data.png". Created plot file "p07_d02.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #7 using a least squares polynomial of degree 3 Number of data points = 4 Data array: Row: 1 2 Col 1: 0 1 2: 1 2 3: 4 2 4: 5 1 Averaged L2 approximation error at data nodes = 1.57009e-16 Normalized length of piecewise linear interpolant = 2.63961 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Created plot file "p07_data.png". Created plot file "p07_d03.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #7 using a least squares polynomial of degree 4 Number of data points = 4 Data array: Row: 1 2 Col 1: 0 1 2: 1 2 3: 4 2 4: 5 1 Averaged L2 approximation error at data nodes = 1.57009e-16 Normalized length of piecewise linear interpolant = 2.63961 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Created plot file "p07_data.png". Created plot file "p07_d04.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #7 using a least squares polynomial of degree 5 Number of data points = 4 Data array: Row: 1 2 Col 1: 0 1 2: 1 2 3: 4 2 4: 5 1 Averaged L2 approximation error at data nodes = 1.57009e-16 Normalized length of piecewise linear interpolant = 2.63961 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Created plot file "p07_data.png". Created plot file "p07_d05.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #7 using a least squares polynomial of degree 6 Number of data points = 4 Data array: Row: 1 2 Col 1: 0 1 2: 1 2 3: 4 2 4: 5 1 Averaged L2 approximation error at data nodes = 1.57009e-16 Normalized length of piecewise linear interpolant = 2.63961 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Normalized length of least squares approximant = 3.36731 Created plot file "p07_data.png". Created plot file "p07_d06.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #8 using a least squares polynomial of degree 1 Number of data points = 12 Data array: Row: 1 2 Col 1: -1 1 2: -0.8 0.64 3: -0.6 0.36 4: -0.4 0.16 5: -0.2 0.04 6: 0 0 7: 0.2 0.04 8: 0.20001 0.05 9: 0.4 0.16 10: 0.6 0.36 11: 0.8 0.64 12: 1 1 Averaged L2 approximation error at data nodes = 0.101522 Normalized length of piecewise linear interpolant = 2.31939 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Normalized length of least squares approximant = 1.00042 Created plot file "p08_data.png". Created plot file "p08_d01.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #8 using a least squares polynomial of degree 2 Number of data points = 12 Data array: Row: 1 2 Col 1: -1 1 2: -0.8 0.64 3: -0.6 0.36 4: -0.4 0.16 5: -0.2 0.04 6: 0 0 7: 0.2 0.04 8: 0.20001 0.05 9: 0.4 0.16 10: 0.6 0.36 11: 0.8 0.64 12: 1 1 Averaged L2 approximation error at data nodes = 0.000762201 Normalized length of piecewise linear interpolant = 2.31939 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Normalized length of least squares approximant = 2.31944 Created plot file "p08_data.png". Created plot file "p08_d02.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #8 using a least squares polynomial of degree 3 Number of data points = 12 Data array: Row: 1 2 Col 1: -1 1 2: -0.8 0.64 3: -0.6 0.36 4: -0.4 0.16 5: -0.2 0.04 6: 0 0 7: 0.2 0.04 8: 0.20001 0.05 9: 0.4 0.16 10: 0.6 0.36 11: 0.8 0.64 12: 1 1 Averaged L2 approximation error at data nodes = 0.000748027 Normalized length of piecewise linear interpolant = 2.31939 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Normalized length of least squares approximant = 2.31959 Created plot file "p08_data.png". Created plot file "p08_d03.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #8 using a least squares polynomial of degree 4 Number of data points = 12 Data array: Row: 1 2 Col 1: -1 1 2: -0.8 0.64 3: -0.6 0.36 4: -0.4 0.16 5: -0.2 0.04 6: 0 0 7: 0.2 0.04 8: 0.20001 0.05 9: 0.4 0.16 10: 0.6 0.36 11: 0.8 0.64 12: 1 1 Averaged L2 approximation error at data nodes = 0.000731706 Normalized length of piecewise linear interpolant = 2.31939 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Normalized length of least squares approximant = 2.32028 Created plot file "p08_data.png". Created plot file "p08_d04.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #8 using a least squares polynomial of degree 5 Number of data points = 12 Data array: Row: 1 2 Col 1: -1 1 2: -0.8 0.64 3: -0.6 0.36 4: -0.4 0.16 5: -0.2 0.04 6: 0 0 7: 0.2 0.04 8: 0.20001 0.05 9: 0.4 0.16 10: 0.6 0.36 11: 0.8 0.64 12: 1 1 Averaged L2 approximation error at data nodes = 0.000704364 Normalized length of piecewise linear interpolant = 2.31939 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Normalized length of least squares approximant = 2.32052 Created plot file "p08_data.png". Created plot file "p08_d05.png". least_squares_approximant_test01: Approximate data from TEST_INTERP problem #8 using a least squares polynomial of degree 6 Number of data points = 12 Data array: Row: 1 2 Col 1: -1 1 2: -0.8 0.64 3: -0.6 0.36 4: -0.4 0.16 5: -0.2 0.04 6: 0 0 7: 0.2 0.04 8: 0.20001 0.05 9: 0.4 0.16 10: 0.6 0.36 11: 0.8 0.64 12: 1 1 Averaged L2 approximation error at data nodes = 0.000701156 Normalized length of piecewise linear interpolant = 2.31939 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Normalized length of least squares approximant = 2.32008 Created plot file "p08_data.png". Created plot file "p08_d06.png". least_squares_approximant_test(): Normal end of execution. 07-Jan-2022 22:42:00