options nodate nonumber ps=2000; proc reg data=ncaa; model y=x1-x19/selection=rsquare cp mse best=5; run; The REG Procedure Model: MODEL1 Dependent Variable: y R-Square Selection Method Number of Observations Read 97 Number of Observations Used 94 Number of Observations with Missing Values 3 Number in Model R-Square C(p) MSE Variables in Model 1 0.7069 60.9413 76.93328 x2 1 0.6042 113.8423 103.89639 x3 1 0.4880 173.6935 134.40192 x11 1 0.4147 211.4342 153.63801 x14 1 0.3843 227.0816 161.61329 x17 -------------------------------------------------------------------------------------------------- 2 0.7539 38.7296 65.30262 x2 x3 2 0.7535 38.9427 65.41245 x2 x4 2 0.7252 53.5121 72.91989 x2 x7 2 0.7191 56.6843 74.55451 x2 x15 2 0.7188 56.7973 74.61276 x2 x10 -------------------------------------------------------------------------------------------------- 3 0.7742 30.3042 60.59642 x2 x4 x7 3 0.7708 32.0193 61.49001 x2 x3 x5 3 0.7695 32.7142 61.85205 x2 x3 x4 3 0.7660 34.5221 62.79401 x2 x4 x11 3 0.7645 35.2636 63.18035 x2 x3 x6 -------------------------------------------------------------------------------------------------- 4 0.7901 24.0946 56.95186 x2 x3 x4 x5 4 0.7895 24.4270 57.12701 x2 x4 x5 x7 4 0.7868 25.8202 57.86103 x2 x4 x7 x11 4 0.7851 26.6934 58.32112 x2 x4 x7 x17 4 0.7850 26.7195 58.33486 x2 x3 x5 x7 -------------------------------------------------------------------------------------------------- 5 0.8110 15.3596 51.87880 x2 x3 x4 x5 x7 5 0.8038 19.0613 53.85127 x2 x4 x5 x7 x17 5 0.8033 19.2869 53.97148 x2 x3 x4 x5 x10 5 0.8006 20.6675 54.70718 x1 x2 x3 x4 x5 5 0.8005 20.7237 54.73714 x2 x4 x7 x11 x15 -------------------------------------------------------------------------------------------------- 6 0.8197 12.8709 50.05578 x2 x3 x4 x5 x7 x17 6 0.8193 13.0672 50.16159 x1 x2 x3 x4 x5 x7 6 0.8189 13.2822 50.27747 x2 x3 x4 x5 x7 x18 6 0.8177 13.9060 50.61370 x2 x3 x4 x5 x6 x7 6 0.8173 14.1129 50.72518 x2 x3 x4 x5 x7 x15 -------------------------------------------------------------------------------------------------- 7 0.8328 8.1009 46.94648 x2 x3 x4 x5 x7 x8 x9 7 0.8290 10.0747 48.02272 x1 x2 x3 x4 x5 x6 x7 7 0.8274 10.8834 48.46363 x2 x3 x4 x5 x7 x15 x17 7 0.8272 10.9840 48.51851 x2 x3 x4 x5 x6 x7 x17 7 0.8269 11.1713 48.62062 x2 x3 x4 x5 x6 x7 x9 -------------------------------------------------------------------------------------------------- 8 0.8389 6.9891 45.78214 x2 x3 x4 x5 x6 x7 x8 x9 8 0.8367 8.0796 46.38375 x2 x3 x4 x5 x7 x8 x9 x17 8 0.8366 8.1631 46.42980 x2 x3 x4 x5 x7 x8 x9 x18 8 0.8364 8.2564 46.48124 x2 x3 x4 x5 x7 x8 x9 x15 8 0.8362 8.3558 46.53611 x2 x3 x4 x5 x7 x8 x9 x12 -------------------------------------------------------------------------------------------------- 9 0.8426 7.0615 45.25111 x2 x3 x4 x5 x6 x7 x8 x9 x17 9 0.8426 7.0647 45.25288 x1 x2 x3 x4 x5 x6 x7 x8 x9 9 0.8424 7.1735 45.31362 x2 x3 x4 x5 x6 x7 x8 x9 x18 9 0.8422 7.2497 45.35617 x2 x3 x4 x5 x6 x7 x8 x9 x12 9 0.8417 7.5193 45.50666 x2 x3 x4 x5 x6 x7 x8 x9 x15 -------------------------------------------------------------------------------------------------- 10 0.8457 7.4498 44.88577 x2 x3 x4 x5 x6 x7 x8 x9 x15 x17 10 0.8454 7.6000 44.97060 x2 x3 x4 x5 x6 x7 x8 x9 x12 x15 10 0.8454 7.6298 44.98744 x1 x2 x3 x4 x5 x6 x7 x8 x9 x15 10 0.8454 7.6389 44.99257 x2 x3 x4 x5 x6 x7 x8 x9 x17 x18 10 0.8452 7.7059 45.03046 x1 x2 x3 x4 x5 x6 x7 x8 x9 x12 -------------------------------------------------------------------------------------------------- 11 0.8484 8.0866 44.65360 x2 x3 x4 x5 x6 x7 x8 x9 x12 x15 x17 11 0.8483 8.1090 44.66640 x1 x2 x3 x4 x5 x6 x7 x8 x9 x12 x15 11 0.8481 8.2459 44.74470 x2 x3 x4 x5 x6 x7 x8 x9 x15 x17 x18 11 0.8477 8.4333 44.85189 x2 x3 x4 x5 x6 x7 x8 x9 x10 x12 x15 11 0.8477 8.4479 44.86020 x2 x3 x4 x5 x6 x7 x8 x9 x12 x15 x18 -------------------------------------------------------------------------------------------------- 12 0.8505 8.9921 44.57129 x2 x3 x4 x5 x6 x7 x8 x9 x10 x12 x15 x17 12 0.8501 9.1734 44.67621 x2 x3 x4 x5 x6 x7 x8 x9 x12 x15 x17 x18 12 0.8501 9.1738 44.67649 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x12 x15 12 0.8500 9.2510 44.72116 x2 x3 x4 x5 x6 x7 x8 x9 x12 x13 x17 x18 12 0.8498 9.3646 44.78693 x2 x3 x4 x5 x6 x7 x8 x9 x10 x12 x15 x18 -------------------------------------------------------------------------------------------------- 13 0.8524 10.0181 44.55749 x2 x3 x4 x5 x6 x7 x8 x9 x10 x12 x13 x17 x18 13 0.8524 10.0258 44.56204 x2 x3 x4 x5 x6 x7 x8 x9 x10 x12 x13 x15 x17 13 0.8521 10.1460 44.63247 x2 x3 x4 x5 x6 x7 x8 x9 x10 x12 x15 x17 x18 13 0.8520 10.2313 44.68249 x2 x3 x4 x5 x6 x7 x8 x9 x12 x13 x15 x17 x18 13 0.8515 10.4821 44.82948 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x12 x15 x18 -------------------------------------------------------------------------------------------------- 14 0.8546 10.8552 44.43129 x2 x3 x4 x5 x6 x7 x8 x9 x10 x12 x13 x15 x17 x18 14 0.8533 11.5483 44.84266 x2 x3 x4 x5 x6 x7 x8 x9 x11 x12 x13 x15 x17 x18 14 0.8532 11.5930 44.86922 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x17 x18 14 0.8532 11.6042 44.87583 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x12 x13 x15 x17 14 0.8532 11.6135 44.88138 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x15 x17 -------------------------------------------------------------------------------------------------- 15 0.8555 12.4075 44.73177 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x15 x17 x18 15 0.8551 12.6129 44.85527 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x12 x13 x15 x17 x18 15 0.8549 12.7263 44.92343 x2 x3 x4 x5 x6 x7 x8 x9 x10 x12 x13 x15 x16 x17 x18 15 0.8547 12.8221 44.98099 x2 x3 x4 x5 x6 x7 x8 x9 x10 x12 x13 x14 x15 x17 x18 15 0.8547 12.8404 44.99202 x2 x3 x4 x5 x6 x7 x8 x9 x10 x12 x13 x15 x17 x18 x19 -------------------------------------------------------------------------------------------------- 16 0.8559 14.1856 45.17757 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x15 x17 x18 16 0.8556 14.3419 45.27274 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 x17 x18 16 0.8556 14.3786 45.29507 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x15 x17 x18 x19 16 0.8556 14.3845 45.29870 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x15 x16 x17 x18 16 0.8553 14.5139 45.37747 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x12 x13 x15 x16 x17 x18 -------------------------------------------------------------------------------------------------- 17 0.8562 16.0456 45.68561 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 x17 x18 17 0.8560 16.1616 45.75719 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x15 x17 x18 x19 17 0.8560 16.1733 45.76440 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x15 x16 x17 x18 17 0.8557 16.3074 45.84718 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 x17 x18 x19 17 0.8557 16.3158 45.85236 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 x16 x17 x18 -------------------------------------------------------------------------------------------------- 18 0.8563 18.0149 46.27557 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 x17 x18 x19 18 0.8562 18.0317 46.28606 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 x16 x17 x18 18 0.8560 18.1484 46.35907 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x15 x16 x17 x18 x19 18 0.8558 18.2800 46.44134 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 x16 x17 x18 x19 18 0.8553 18.4988 46.57814 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x12 x13 x14 x15 x16 x17 x18 x19 -------------------------------------------------------------------------------------------------- 19 0.8563 20.0000 46.89148 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 x16 x17 x18 x19