Question

The correlation coefficient for these data points is = –0.41. What proportion of total variability in the y-values (the ratings) is explained by the cereals’ fat content when using the linear regression model?

A.
59%

B.
83%

C.
41%

D.
17%

Answer 1

The proportion of total variability in the y-values explained by the cereals' fat content when using the linear regression model is given by the square of the correlation coefficient.

The square of -0.41 is 0.1681, or 16.81%.

Therefore, the answer is D. 17%.