Which of the assumptions listed below are necessary in order for the coefficients in a partial regression equation to be interpreted as the average change in the criterion variable associated with a unit change in the appropriate predictor variable holding other predictor variables constant?
A)The predictor variables must be correlated.
B)The variance among predictor variables must be equal.
C)The criterion variable must be normally distributed.
D)The predictor variables must be uncorrelated.
E)None of these are necessary assumptions.

Question

Quizplus · Accepted Answer

The correct assumption necessary for the coefficients in a partial regression equation to be interpreted as described is that the predictor variables must be uncorrelated (D). This ensures that the change in the criterion variable can be attributed to the change in the predictor variable of interest, holding other variables constant, without the interference of multicollinearity.

Which of the Assumptions Listed Below Are Necessary in Order