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%
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%.