A set of n = 25 pairs of scores (X and Y values)has a Pearson correlation of r = 0.80.How much of the variance for the Y scores is predicted by the relationship with X?
A)0.36 or 36%
B)0.20 or 20%
C)0.80 or 80%
D)0.64 or 64%

Question

A set of n = 25 pairs of scores (X and Y values)has a Pearson correlation of r = 0.80.How much of the variance for the Y scores is predicted by the relationship with X?​
A)​0.36 or 36%
B)​0.20 or 20%
C)​0.80 or 80%
D)​0.64 or 64%

Quizplus · Accepted Answer

The coefficient of determination (r^2) tells us how much variance in Y scores is predicted by the relationship with X. 
r^2 = 0.80^2 = 0.64 or 64%. Therefore, option D is the correct answer.

A Set of N = 25 Pairs of Scores (X