The Pearson correlation between X₁ and Y is r = 0.50 and the correlation between X₂ and Y is r = 0.20.How much variance for the Y scores is predicted by using both X₁ and X₂ as predictor variables in a multiple regression equation? A)0.25 or 25% B)0.29 or 29% C)0.70 or 70% D)Cannot be determined from the information given.

Question

Quizplus · Accepted Answer

The given correlations do not provide enough information to determine the shared variance between X1, X2, and Y, nor the unique contributions of each predictor in a multiple regression context. Additional information, such as the correlation between X1 and X2, is needed to calculate the explained variance in Y.

The Pearson Correlation Between X1 and Y Is R =

The Pearson Correlation Between X₁ and Y Is R =