How do you interpret a coefficient of determination, r^2, equal to 0.89? Choose

Question

How do you interpret a coefficient of determination, r^2, equal to 0.89? Choose the correct answer below. The interpretation is that 11% of the variation in the independent variable can be explained by the variation in the dependent variable. The interpretation is that 0.89% of the variation in the independent variable can be explained by the variation in the dependent variable. The interpretation is that 0.11% of the variation in the dependent variable can be explained by the variation in the independent variable. The interpretation is that 89% of the variation in the dependent variable can be explained by the variation in the independent variable.

Explanation / Answer

1

Correlation, r^2, is a measure of linear association between two variables. Coefficient of determination, r2, is a measure of how much of the variability in one variable can be "explained by" variation in the other.

R2=.64R2=.64 means that 64% of the variance of y can be explained by variability in x under your model. The residual variance (i.e., the variance unexplained) is 0.36. That is, if:

Then

10.64=0.36

Answer is D.

1

Correlation, r^2, is a measure of linear association between two variables. Coefficient of determination, r2, is a measure of how much of the variability in one variable can be "explained by" variation in the other.

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