If the coefficient of correlation is −0.80,then the percentage of the variation in y that is explained by the variation in x is:
A)80%
B)64%
C)89%
D)None of these choices.

Question

Quizplus · Accepted Answer

The coefficient of correlation (r) measures the strength and direction of the linear relationship between two variables. The coefficient of determination (r^2) measures the proportion of the variation in the dependent variable (y) that is explained by the independent variable (x). To calculate the coefficient of determination, we square the coefficient of correlation: r^2 = 0.80^2 = 0.64. Thus, 64% of the variation in y is explained by the variation in x (as given by the coefficient of determination). Therefore, the best choice is B.

If the Coefficient of Correlation Is −0