# x32.txt # # Reference: # # Helmut Spaeth, # Mathematical Algorithms for Linear Regression, # Academic Press, 1991, # ISBN 0-12-656460-4. # # Helmut Spaeth, # Algorithmen fuer multivariable Ausgleichsmodelle, # Oldenbourge, 1974, pages 61-62. # # Discussion: # # A 13 by 3 linear system is considered. # # There are 13 rows of data. The data include: # # I, the index; # A1, column 1; # A2, column 2; # A3, column 3; # B, the right hand side. # # We seek a model of the form: # # B = A1 * X1 + A2 * X2 + A3 * X3 # 5 columns 13 rows Index A1 A2 A3 B 1 108 44 165 180 2 47 42 179 225 3 38 44 140 218 4 92 27 139 151 5 47 20 107 134 6 8 13 77 92 7 50 24 124 123 8 56 25 141 142 9 24 7 39 41 10 4 26 98 134 11 5 26 107 164 12 53 23 65 90 13 192 62 135 216