The relationship between the number of hours a person practices a task and the time it takes them to complete the task is calculated to have R-sq = 56.7%. The value of the correlation coefficient is
A) 0.753
B) -0.238
C) 0.238
D) -0.753
E) 2.38

Question

Quizplus · Accepted Answer

The R-squared value is the square of the correlation coefficient. Since R-sq = 56.7%, the correlation coefficient can be either positive or negative. The square root of 0.567 is approximately 0.753, so the correlation coefficient is either 0.753 or -0.753. The negative sign indicates an inverse relationship, which is common when more practice leads to less time taken.

The Relationship Between the Number of Hours a Person Practices