An "all possible regressions" search of a data set containing 8 independent variables will produce ______ regressions.
A)8
B)15
C)256
D)64
E)255

Question

Quizplus · Accepted Answer

An "all possible regressions" search involves considering every possible combination of the independent variables, including the possibility of using none of them and each of them individually. For 8 independent variables, the total number of combinations is 2^8 (since each variable can either be included or not), which equals 256. However, since one of these combinations includes using none of the variables, which isn't a regression, the actual number of regressions is 256 - 1 = 255.

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