A random sample of 200 20-year-old men is selected from a population and these men's height and
Question:
A random sample of 200 20-year-old men is selected from a population and these men's height and weight are recorded. A regression of weight on height yields
\[ \widehat{\text { Weight }}=-99.41+3.94 \times \text { Height, } R^{2}=0.81, \text { SER }=10.2 \]
where Weight is measured in pounds and Height is measured in inches.
a. What is the regression's weight prediction for someone who is \(70 \mathrm{in}\). tall? 65 in. tall? 74 in. tall?
b. A man has a late growth spurt and grows 1.5 in. over the course of a year. What is the regression's prediction for the increase in this man's weight?
c. Suppose that instead of measuring weight and height in pounds and inches, these variables are measured in centimeters and kilograms. What are the regression estimates from this new kilogram-centimeter regression? Give all results, estimated coefficients, \(R^{2}\), and \(S E R\).
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