If the value of r between X and Y is .90, what percentage of the variance in Y is explained by X?

Name: If the value of r between X and Y is .90, what percentage of the variance in Y is explained by X?
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Quizplus · Accepted Answer

The coefficient of determination (R-squared) describes the proportion of variance in Y that is explained by X. It is equal to the square of the correlation coefficient (r) between X and Y. Therefore, if r is .90, R-squared is .90^2 or .81, which means that 81% of the variance in Y is explained by X.

If the Value of R Between X and Y Is