Suppose a doctor measures the height, x, and head circumference, y, of 8 children and obtains the data below The correlation coefficient is 0.803 and the least squares regression line is y = 0.156x + 13.133. Car Weight (pounds), x Miles per Gallon, y
1 3,765 18
2 3,984 17
3 3,530 21
4 3,175 23
5 2,580 26
6 3,730 18
7 2,605 25
8 3,772 17
9 3,310 21
10 2,991 24
11 2,752 25

Required:
a. Interpret the coefficient of determination and comment on the adequacy of the linear model.
b. Compute the coefficient of determination, R^2.