Assuming the two predictors X1 and X2 are not correlated,the coefficients of partial regression can be interpreted as the
A)unit change in the criterion variable associated with an average change in the appropriate predictor variable while holding the other predictor variable constant.
B)change in the criterion variable associated with an average change in the predictor variables.
C)average change in the criterion variable associated with an average change in the appropriate predictor variable while holding the other predictor variable constant.
D)average change in the criterion variable associated with a unit change in the appropriate predictor variable while holding the other predictor variable constant.
E)average change in the criterion variable associated with a unit change in the appropriate predictor variable.

Question

Quizplus · Accepted Answer

The coefficients of partial regression represent the average change in the criterion variable associated with a unit change in the appropriate predictor variable while holding the other predictor variable constant. This is because partial regression coefficients are calculated by controlling for the effects of other variables, meaning that the coefficient for a given predictor variable reflects its unique contribution to the criterion variable. Therefore, choice D correctly describes the interpretation of the partial regression coefficients in the context of the given assumption.

Assuming the Two Predictors X1 and X2 Are Not Correlated,the