When using best subsets regression with a model that has four independent variables, a total of ________ different combinations of regression models will be considered.
A)18
B)15
C)4
D)12

Question

Quizplus · Accepted Answer

The total number of combinations of regression models that can be considered with four independent variables is given by the sum of combinations for selecting 0, 1, 2, 3, and 4 variables out of 4, which is $2^4 = 16$. However, since the question likely excludes the model with 0 variables (the empty model), the correct answer is $16 - 1 = 15$.

When Using Best Subsets Regression with a Model That Has