An "all possible regressions" search of a data set containing "k" independent variables will produce __________ regressions. A)2k -1 B)2^k^{- 1} C)k² - 1 D)2^k - 1 E)2k

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An "all possible regressions" search involves considering every possible combination of the "k" independent variables, including the possibility of using none of them (which is not actually a regression but is counted in the total for completeness). The total number of combinations of "k" items is given by 2^k (since for each variable, there are two possibilities: either it is included in the model or it is not). However, since the scenario of using none of the variables is not considered a valid regression model, we subtract 1 from this total, resulting in 2^k - 1 possible regressions.

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