The correlation coefficient between high school grade point average (GPA) and college GPA is 0.560. For a student with a high school GPA that is 2.5 standard deviations above the mean, we Would expect that student to have a college GPA that is_____ the mean.
A) 1.4 SD above
B) 0.56 SD above
C) equal to
D) 2.5 SD above

Question

Quizplus · Accepted Answer

The correlation coefficient (0.560) indicates the strength and direction of a linear relationship between two variables. In this case, for a student with a high school GPA that is 2.5 standard deviations above the mean, the expected college GPA would be 2.5 * 0.560 = 1.4 standard deviations above the mean, reflecting the direct proportionality influenced by the correlation coefficient.

The Correlation Coefficient Between High School Grade Point Average (GPA)