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Assume that the correlation coefficient between achievement test scores (X) and grade point averages (Y) among...

Assume that the correlation coefficient between achievement test scores (X) and grade point averages (Y) among a simple random sample of 34 first grade students is 0.52. Then, we can conclude that approximately 27% of the variance in grade point averages is explained by achievement test scores. Note, the statistic referenced in the previous sentence is the coefficient of determination, aka R-squared.

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