The values of y and x are inversely related, and 84.64% of the variation in y is explained by the regression equation. What is the coefficient of correlation?

Since 84.64% of the variation in y is explained by x .8464 is the coefficient of determination. The square root of the coefficient of determination, with the appropriate sign, is equal to the coefficient of correlation. Therefore, the coefficient of correlation is -.92 . We know this is negative because y and x are inversely related.

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