# x08.txt # # Reference: # # Helmut Spaeth, # Mathematical Algorithms for Linear Regression, # Academic Press, 1991, # ISBN 0-12-656460-4. # # D G Kleinbaum and L L Kupper, # Applied Regression Analysis and Other Multivariable Methods, # Duxbury Press, 1978, page 150. # # Discussion: # # Measurements were made of poverty, unemployment, and murder rates. # # There are 20 rows of data. The data include: # # I, the index, # A1, the inhabitants, # A2, the percentage of families incomes below \$5000, # A3, the percentage unemployed, # B, the number of murders per 1,000,000 inhabitants per annum. # # We seek a model of the form: # # B = A1 * X1 + A2 * X2 + A3 * X3 # 5 columns 20 rows Index Inhabitants Percent with incomes below \$5000 Percent unemployed Murders per annum per 1,000,000 inhabitants 1 587000 16.5 6.2 11.2 2 643000 20.5 6.4 13.4 3 635000 26.3 9.3 40.7 4 692000 16.5 5.3 5.3 5 1248000 19.2 7.3 24.8 6 643000 16.5 5.9 12.7 7 1964000 20.2 6.4 20.9 8 1531000 21.3 7.6 35.7 9 713000 17.2 4.9 8.7 10 749000 14.3 6.4 9.6 11 7895000 18.1 6.0 14.5 12 762000 23.1 7.4 26.9 13 2793000 19.1 5.8 15.7 14 741000 24.7 8.6 36.2 15 625000 18.6 6.5 18.1 16 854000 24.9 8.3 28.9 17 716000 17.9 6.7 14.9 18 921000 22.4 8.6 25.8 19 595000 20.2 8.4 21.7 20 3353000 16.9 6.7 25.7