THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A professor of statistics is interested in studying the relationship between the number of hours graduate students spent studying for his comprehensive final exam and the exam score.The results of the regression analysis of hours studied on exam scores are presented below.
-If the coefficient of correlation is 0.75,what is the value of the coefficient of determination?
A)0.8660
B)0.5625
C)0.5916
D)0.6123

Question

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A professor of statistics is interested in studying the relationship between the number of hours graduate students spent studying for his comprehensive final exam and the exam score.The results of the regression analysis of hours studied on exam scores are presented below. 
-If the coefficient of correlation is 0.75,what is the value of the coefficient of determination?
A)0.8660 
B)0.5625 
C)0.5916 
D)0.6123

Quizplus · Accepted Answer

The coefficient of determination, denoted by R^2, is equal to the square of the coefficient of correlation, denoted by r. Thus, R^2 = r^2 = 0.75^2 = 0.5625. Therefore, the best choice is B.