A sample of n = 15 pairs of X and Y scores produces a Pearson correlation of r = 0.45 with SS_Y = 90.
a. If the regression equation was found for these scores, how much of the Y variability would be predicted by the regression equation (SS_regression) and how much would not be predicted (SS_residual)?
b. Does the regression equation predict a significant portion of the variability for the Y scores? (Equivalently, is the Pearson correlation significant?)

Question

Quizplus · Accepted Answer

The Answer of A sample of n = 15 pairs of X and Y scores produces a Pearson correlation of r = 0.45 with SS_Y = 90. a. If the regression equation was found for these scores, how much of the Y variability would be predicted by the regression equation (SS_regression) and how much would not be predicted (SS_residual)? b. Does the regression equation predict a significant portion of the variability for the Y scores? (Equivalently, is the Pearson correlation significant?)

A Sample of N = 15 Pairs of X and Y