A set of n = 6 pairs of X and Y values has a Pearson correlation of r = 0.80 and SS_Y = 100.The standard error of estimate for the regression equation is √36/4 = 3 points.

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Quizplus · Accepted Answer

The standard error of estimate is the square root of the variance of the residuals, which is equal to SS_Y * (1 - r²) / (n - 2). In this case, SS_Y = 100, r = 0.80, and n = 6, so the standard error of estimate is sqrt((100 * (1 - 0.80²)) / (6 - 2)) = sqrt(36/4) = 3.

A Set of N = 6 Pairs of X and Y