in a multiple regression problem with 2 predictors, the individual t-test p-valu
ID: 3228531 • Letter: I
Question
in a multiple regression problem with 2 predictors, the individual t-test p-value is large for predictor 1 but small for predictor 2. However, when the two separate simple regressions are fit, each one with only one of the predictors, the individual t-test provide a very small p-value. This can best be explained by which of the following? a. The two predictors are barely significant. b. Predictor 2 is not significant given Predictor 1. c. Predictor 2 is significant given Predictor 2. d. Having too simple of a model.
Explanation / Answer
b. Predictor 2 is not significant given Predictor 1.
This is because individually in separate regression both 1 and 2 are significant but when 2 is adjusted for predictor 1 effect then predictor 2 is not signficant
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