An "all possible regressions" search of a data set containing 5 independent variables will produce ______ regressions.
A)31
B)10
C)25
D)32
E)24

Question

Quizplus · Accepted Answer

An "all possible regressions" search involves examining every possible combination of independent variables, including the model with no independent variables (just the intercept) and each model with one or more of the independent variables. For 5 independent variables, the total number of combinations is $2^5 = 32$, but since one of these combinations includes no variables at all, the correct answer is $32 - 1 = 31$.

An "All Possible Regressions" Search of a Data Set Containing