Show intermediate steps from any SAS output and justify your answer. 1. A 31-run experiment was conducted with 6 independent predictor variables. The table below gives the SSres for all possible fitted models in the six variables. Select a "best" model using each of the approaches in a-f stated below. Use a = 0.05. Variables in Model SSres Variables in Model SSres Variables in Model SSres Variables in Model SSres none 11.058 x3, x4 1.453 x2, x3, x4 1.041 x1, x3, x4, x5 0.561 x1 0.607 x3, x5 9.891 x2, x3, x5 9.362 x1, x3, x4, x6 0.555 x2 10.795 x3, x6 8.848 x2, x3, x6 8.838 x1, x3, x5, x6 0.561 x3 10.633 x4, x5 1.397 x2, x4, x5 1.030 x1, x4, x5, x6 0.553 x4 1.522 x4, x6 1.507 x2, x4, x6 1.192 x5, x6 x2, X3, x4, x5 0.958 x5 9.922 7.680 x2, x5, x6 .679 x2, x3, x4, x6 0.995 x6 9.196 x1, x2, x3 0.498 x3, x4, x5 .383 x1, x2 0.499 x1, x2, x4 x2, x3, x5, x6 7.675 0.450 x3, x4, x6 1.437 x1, x3 0.600 x1, x2, x5 x2, x4, x5, x6 1.024 0.477 x1, x4 0.582 x3, x5, x6 7.678 x1, x2, x6 x3, x4, x5, x6 1.342 0.367 x4, x5, x6 1.352 x1, x5 0.597 x1, x3, x4 0.412 0.581 x1, x2, x3, x4, x5 x1, x6 0.576 x1, x2, x3, x4 0.441 x1, x3, x5 x1, x2, x3, x4, x6 0.311 0.582 x2, x3 10.168 x1, x2, x3, x5 0.475 x1, x3, x6 x1, x2, x3, x5, x6 0.364 0.567 x2, x4 1.218 x1, x4, x5 x1, x2, x3, x6 0.365 x1, x2, x4, x5, x6 0.313 x2, x5 0.569 9.479 x1, x2, x4, x5 0.413 x1, x4, x6 0.545 x2, x6 0.558 x1, x3, x4, x5, x6 9.192 x1, x5, x6 x1, x2, x4, x6 0.323 x2, x3, x4, x5, x6 0.939 0.574 x1, x2, x5, x6 0.364 x1, x2, x3, x4, x5, x6 0.307 a. Backward elimination F-test. b. Forward selection F-test. c. Stepwise regression F-test. d. Backward elimination based on Mallows' Cp e. f. Forward selection based on Mallows' Cp- Stepwise regression based on Mallows' Cp 2. p. 367, problem 10.6. Use the dataset "Property.xlsx". For part b., use both F-test and Mallows' Cp as criteria with a = 0.1