5.3 Suppose a random sample of 100 20-year-old men is selected from a population, and that these men’s height and weight are recorded. A regression of weight on height yields

where weight is measured in pounds and height is measured in inches. A man has a late growth spurt and grows 2 inches over the course of a year.
Construct a 95% confidence interval for the person’s weight gain.

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Weight = -79.24 + 4.16 x Height, R = 0.72, SER (3.42) (.42) 12.6,