The following MINITAB output is for a best subsets regression involving five dependent variables X 1 , , X 5 The two models of each size with the highest values of R 2 are listed a Which variables are in the model selected by the minimum C p criterion b Which variables are in the model selected by the adjusted R 2 criterion c Are there any other good models Best Subsets Regression Y versus X1, X2, X3, X4, X5 Response is Y Mallows X 2 X 3 X 4 X R Sq 77 3 10 2 89 3 77 8 90 5 C p 133 6 811 7 14 6 Vars 1 R Sq(adj) 77 1 9 3 89 0 77 3 90 2 89 1 90 3 90 2 90 2 1 4051 2 7940 X X X 0 97126 1 3966 0 91630 0 96763 0 91446 0 91942 0 91805 X X X 130 5 3 6 14 6 4 3 5 3 6 0 X 89 4 90 7 90 6 90 7 X X X X X X X X X 233 44un

Question: The following MINITAB output is for a best subsets regression involving five dependent variables X 1 , . . . , X 5 . The

The following MINITAB output is for a best subsets regression involving five dependent variables X₁, . . . , X₅. The two models of each size with the highest values of R²are listed.

Best Subsets Regression: Y versus X1, X2, X3, X4, X5 Response is

a. Which variables are in the model selected by the minimum C_p criterion?

b. Which variables are in the model selected by the adjusted R² criterion?

c. Are there any other good models?

Best Subsets Regression: Y versus X1, X2, X3, X4, X5 Response is Y Mallows X 2 X 3 X 4 X R-Sq 77.3 10.2 89.3 77.8 90.5 C-p 133.6 811.7 14.6 Vars 1. R-Sq(adj) 77.1 9.3 89.0 77.3 90.2 89.1 90.3 90.2 90.2 1.4051 2.7940 X X X 0.97126 1.3966 0.91630 0.96763 0.91446 0.91942 0.91805 X X X 130.5 3.6 14.6 4.3 5.3 6.0 X 89.4 90.7 90.6 90.7 X X X X X X X X X 233 44un

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