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)0.56 SD above
B)1.94 SD above
C)2.5 SD above
D)equal to
E)1.4 SD above

Question

Quizplus · Accepted Answer

The correlation coefficient (0.560) indicates the strength and direction of a linear relationship between two variables. To predict the college GPA's deviation from the mean based on the high school GPA being 2.5 standard deviations above the mean, you multiply the high school deviation by the correlation coefficient: 2.5 * 0.560 = 1.4. This means we would expect the student to have a college GPA that is 1.4 standard deviations above the mean.

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