Given the least-squares regression line = -4.63 + 1.38x, and a coefficient of determination of 0.9025, what is the correlation coefficient?
A) -0.95
B) -0.81
C) +0.95
D) +1.38

Question

Given the least-squares regression line  = -4.63 + 1.38x, and a coefficient of determination of 0.9025, what is the correlation coefficient?
A) -0.95 
B) -0.81 
C) +0.95 
D) +1.38

Quizplus · Accepted Answer

The correlation coefficient is the square root of the coefficient of determination, which is 0.9025. Therefore, the correlation coefficient is +/- 0.95. Since the regression line has a positive slope, the correlation coefficient is positive, so the answer is C.

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