In interpreting values of r in the .20 to .40 range this means that 84% to 96% of the variance on one variable is not accounted for by the other.

Question

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The correlation coefficient (r) measures the strength and direction of a linear relationship between two variables. A value of r in the .20 to .40 range indicates a weak to moderate correlation. To determine the percentage of variance not accounted for by the other variable, you square the correlation coefficient (r^2) to get the coefficient of determination. For r values of .20 to .40, squaring these values gives you .04 to .16, indicating that 4% to 16% of the variance in one variable is explained by the other, leaving 96% to 84% of the variance unexplained.

In Interpreting Values of R in the