Twenty-five volunteer athletes participated in a study of cross-disciplinary athletic abilities. The group was comprised of athletes from football, baseball, water polo, volleyball, and soccer. None had ever played organized basketball, but did acknowledge interest and some social participation in the game. Height, weight, and speed in the 100-yard dash were recorded for each subject. The basketball test consisted of the number of field goals that could be made in a 60-min period. The data are given in Table 8.29.

(a) Perform the regression relating GOALMADE to the other variables. Comment on the results.

(b) Is there multicollinearity?

(c) Check for outliers.

(d) If appropriate, develop and implement an alternative model.

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Table 8.29 Basket goals related to physique. OBS WEIGHT HEIGHT DASH100 GOALMADE 123456789 130 149 3. 170 177 188 210 223 170 145 10 132 11 211 12 212 13 193 14 146 15 158 16 154 17 193 18 228 19 217 20 172 21 188 22 144 23 164 24 188 25 231 FRENEREREN KEER 71 11.50 15 74 12.23 19 70 12.26 11 71 12.65 15 69 10.26 12 73 12.76 17 72 11.89 15 75 12.32 19 72 10.77 16 74 11.31 18 71 12.911 13 72 12.55 15 73 11.72 17 72 12.94 16 71 12.21 15 75 11.81 20 71 11.90 15 75 11.22 19 78 10.89 22 79 12.84 23 72 11.01 16 75 12.18 20 76 12.37 21 74 11.98 19 70 12.23 13