Suppose that the correlation between height and weight for adults is +0.40.What proportion (or percent)of the variability in weight can be explained by the relationship with height?
A)40%
B)60%
C)16%
D)84%

Question

Suppose that the correlation between height and weight for adults is +0.40.What proportion (or percent)of the variability in weight can be explained by the relationship with height?​
A)​40%
B)​60%
C)​16%
D)​84%

Quizplus · Accepted Answer

The proportion of variability in weight that can be explained by the relationship with height is equal to the square of the correlation coefficient. In this case, the correlation coefficient is +0.40, so the proportion of variability explained is (0.40)^2 = 0.16 or 16%. Therefore, the correct answer is C) 16%.

Suppose That the Correlation Between Height and Weight for Adults