The Pearson correlation between X₁ and Y is r = 0.70.When a second variable,X₂,is added to the regression equation,we obtain R² = 0.64.How much variance for the Y scores is predicted by using only X₁ as a predictor variable? A)0.06 or 6% B)0.15 or 15% C)0.49 or 49% D)0.70 or 70%

Question

Quizplus · Accepted Answer

The coefficient of determination (r^2) tells us the proportion of variance in Y that is accounted for by X₁. The formula for r^2 is r^2 = (correlation)^2 = 0.70^2 = 0.49 or 49%. Therefore, choice C is the correct answer.

The Pearson Correlation Between X1 and Y Is R =

The Pearson Correlation Between X₁ and Y Is R =