In the regression model $Y = a + b X + c Z$ ,a test of the hypothesis that parameter c equals zero is A)an F-test. B)an R²-test. C)a zero-statistic. D)a t-test. E)a Z-test.

Question

Quizplus · Accepted Answer

A t-test is appropriate for testing the hypothesis that a single regression coefficient (in this case, c) equals zero. An F-test would be appropriate for testing multiple coefficients simultaneously, but that is not the case here. The other options (R²-test, zero-statistic, Z-test) are not tests commonly used in regression analysis.

In the Regression Model Y=a+bX+cZY = a + b X + c ZY=a+bX+cZ

In the Regression Model $Y = a + b X + c Z$