Assuming the two predictors X₁ and X₂ are not correlated, the coefficients of partial regression, $ \hat{ß}$_Y1.2 and $ \hat{ß}$_Y2.1, can be interpreted as A)the unit change in the criterion variable associated with an average change in the appropriate predictor variable while holding the other predictor variable constant. B)the change in the criterion variable associated with an average change in the predictor variables. C)the average change in the criterion variable associated with an average change in the appropriate predictor variable while holding the other predictor variable constant. D)the average change in the criterion variable associated with a unit change in the appropriate predictor variable while holding the other predictor variable constant. E)the average change in the criterion variable associated with a unit change in the appropriate predictor variable.

Question

Quizplus · Accepted Answer

The coefficient of partial regression, $ \hat{ß}$_Y1.2, represents the average change in the criterion variable (Y1) associated with a unit change in the appropriate predictor variable (X1) while holding the other predictor variable (X2) constant. Similarly, $ \hat{ß}$_Y2.1 represents the average change in Y2 associated with a unit change in X2 while holding X1 constant.

Assuming the Two Predictors X1 and X2 Are Not Correlated ß^ \hat{ß}ß^

Assuming the Two Predictors X₁ and X₂ Are Not Correlated $\hat{ß}$