Suppose that the correlation between height and weight for adults is +0.75. What proportion (or percent) of the variability in weight is accounted for by the relationship with height?
A)75%
B)25%
C)56%
D)unable to determine

Question

Suppose that the correlation between height and weight for adults is +0.75. What proportion (or percent) of the variability in weight is accounted for by the relationship with height?​
A)75%
B)25%
C)56%
D)unable to determine

Quizplus · Accepted Answer

The proportion of variability in weight accounted for by the relationship with height is given by r^2, where r is the correlation coefficient. Thus, r^2 = 0.75^2 = 0.5625, which is approximately 56%. Therefore, the answer is choice C.

Suppose That the Correlation Between Height and Weight for Adults