Based on the height and weight data given in Table 8.4, fit a simple linear regression of weight on height for these data and check the assumptions. Give a 99% confidence interval for the mean weight of people with a 72-inch height. Test for lack of fit of the simple linear regression model.

Table 8.4: Weights for various heights.
Ht. Wt. Ht. Wt.
65 120 63 110 65 140 63 135 65 130 63 120 65 135 72 170 66 150 72 185 66 135 72 160 Table 8.5: Jensen’s crank pin data.
Day Diameter Day Diameter Day Diameter Day Diameter 4 93 10 93 16 82 22 90 4 100 10 88 16 72 22 92 4 88 10 87 16 80 22 82 4 85 10 87 16 72 22 77 4 89 10 87 16 89 22 89