A regression has r^2 = 0.64. The correct statement is

64% of the variability in y is explained by the linear regression on x r² is the proportion of total variation in y accounted for by regression on x. Correlation r = ±√r² = ±0.8 here.

The correlation between x and y is 0.64

64% of the variability in y is explained by the linear regression on x

64% of data points lie on the regression line

Least Squares Regression

AP Statistics· difficulty 4/5

r^2 = 0.64

A
$The slope is 0.64$
B
$The correlation between x and y is 0.64$
C
$64% of the variability in y is explained by the linear regression on x$
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D
$64% of data points lie on the regression line$

Explanation

r² is the proportion of total variation in y accounted for by regression on x. Correlation r = \pm\sqrtr² = \pm0.8 here.

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