Please answer questions A and B based on the following Best Subsets Regression. Best Subsets Regression: Salary versus Gender, GPA, Years to Graduate The dependent Variable is Salary; Independent variables are Gender, GPA, and Years to Graduate Vars R-Sq R-Sq (adj) R-Sq (pred) Mallows Cp S G e n d e r G P A Y e a r s t o G r a d u a t e 1 67.4 65.0 57.4 8.6 7.9547 X 1 67.2 64.9 58.3 8.7 7.9710 X 1 4.1 0.0 0.0 48.5 13.635 X
Please answer questions A and B based on the following Best Subsets Regression.
Best Subsets Regression: Salary versus Gender, GPA, Years to Graduate
The dependent Variable is Salary; Independent variables are Gender, GPA, and Years to Graduate
|
Vars |
R-Sq |
R-Sq (adj) |
R-Sq (pred) |
Mallows Cp |
S |
G e n d e r |
G P A |
Y e a r s t o G r a d u a t e |
|
1 |
67.4 |
65.0 |
57.4 |
8.6 |
7.9547 |
X |
|
|
|
1 |
67.2 |
64.9 |
58.3 |
8.7 |
7.9710 |
|
X |
|
|
1 |
4.1 |
0.0 |
0.0 |
48.5 |
13.635 |
|
|
X |
|
2 |
76.9 |
73.3 |
68.6 |
4.6 |
6.9445 |
X |
X |
|
|
2 |
71.4 |
67.0 |
54.3 |
8.0 |
7.7229 |
X |
|
X |
|
2 |
71.3 |
66.9 |
54.9 |
8.1 |
7.7410 |
|
X |
X |
|
3 |
81.0 |
76.2 |
64.7 |
4.0 |
6.5601 |
X |
X |
X |
A) If you want to consider regression models with just two independent variables, which variables would you consider to include based on the S criterion?
B) If you want to consider regression models with just one independent variable, which variable would you consider to include according to the R-Sq(adj) criterion?
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