In exercise physiology, an objective measure of aerobic fitness is the oxygen consumption in volume per unit body weight per unit time. Thirty-one individuals were used in an experiment in order to be able to model oxygen consumption against: age in years (x1); weight in kilograms (x2); time to run l 1/2 miles (3:3); resting pulse rate (x4); pulse rate at the end of run (as); maximum pulse rate during run (x6).

(a) Do a stepwise regression with input significance level 0.25. Quote the final model.

(b) Do all possible subsets using s2, Cp, R2, and R2 adj.

Make a decision and quote the final model.

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ID 11.37 1. 44.609 44 89.47 62 178 182 45.313 75.07 2 10.07 62 185 185 54.297 44 85.84 45 8.65 156 168 59.571 8.17 9.22 55 42 68.15 40 4 166 172 49.874 38 89.02 178 180 77.45 75.98 49.091 13 81.19 176 176 44.811 47 11.63 58 11.95 70 10.85 64 63 45.681 40 176 180 162 170 39.442 81.42 44 174 176 13.08 60.055 38 81.87 48 8.63 10.13 45 14.03 56 51 170 186 10 73.03 50.541 44 168 168 11 37.388 45 87.66 12 186 192 66.45 79.15 83.12 44.754 •15 13 11.12 176 176 47.273 47 47 14 10.60 162 164 51.855 54 50 15 10.33 166 170 49.156 49 81.42 44 8.95 10.95 57 48 16 180 185 51 69.63 40.836 17 168 172 46.672 51 77.91 18 10.00 162 168 91.63 73.37 46.774 48 10.25 48 76 19 162 164 50.388 49 20 168 168 10.08 39.407 57 73.37 58 21 12.63 174 176 79.38 46.080 54 62 22 156 165 11.17 45.441 52 76.32 48 23 9.63 164 166 70.87 54.625 50 48 24 146 155 8.92 45.118 51 67.25 48 172 172 25 11.08 91.63 39.203 54 44 26 168 172 12.88 73.71 45.790 51 59 27 186 188 10.47 59.08 50.545 57 49 28 148 155 9.93