a) If you were to perform a backward elimination stepwise regression using the adjusted R?square criterion arriving at a model with only the intercept, specify the sequence to remove all 5 variables?

b) If you were to perform a sequential (bi?directional) stepwise regression using the adjusted R?square criterion arriving at a final model, what is the sequence to add/remove variables as you arrive at the final model? Be sure to state your final model.

c) Repeat part a) for Mallow's Cp

d) Repeat part b) for Mallow's Cp

Model # Variables in Model Adj. R-Square Mallow's Cp 1 x1 0.3270 16.7011 2 x5 0.2350 22.2623 3 x2 0.2035 24.1682 4 x4 0.0309 34.6077 5 x3 -0.0317 38.3934 6 x1 x2 0.5754 2.6926 7 x2 x5 0.3925 13.3271 8 x1 x4 0.3511 15.7354 9 x1 x3 0.3485 15.8867 10 x1 x5 0.3418 16.2739 11 x4 x5 0.2410 22.1349 12 x3 x5 0.2259 23.0169 13 x2 x4 0.1868 25.2873 14 x2 x3 0.1741 26.0253 15 x3 x4 -0.0070 36.5566 16 x1 x2 x3 0.5943 2.6464 17 x1 x2 x5 0.5688 4.0726 18 x1 x2 x4 0.5627 4.4152 19 x2 x3 x5 0.3797 14.6288 20 x2 x4 x5 0.3722 15.0449 21 x1 x3 x5 0.3634 15.5409 22 x1 x4 x5 0.3562 15.9413 23 x1 x3 x4 0.3429 16.6836 24 x3 x4 x5 0.2145 23.8533 25 x2 x3 x4 0.1529 27.2872 26 x1 x2 x3 x5 0.5881 4.0346 27 x1 x2 x3 x4 0.5770 4.6325 28 x1 x2 x4 x5 0.5541 5.8557 29 x2 x3 x4 x5 0.3534 16.5936 30 x1 x3 x4 x5 0.3505 16.7500 31 x1 x2 x3 x4 x5 0.5701 6.0000