Table 8.15 shows the average weight (in pounds) for 18- to 24-year-old U.S. men of different heights (measured in inches above 5 feet). Use least squares to estimate the relationship between height (X) and weight (Y).

a. Interpret the estimated coefficient of X.

b. Calculate a 95 percent confidence interval for the coefficient of X.

c. Is the relationship statistically significant at the 5 percent level?

d. The American Heart Association says that the ideal male weight is 110 + 5.0X. How does your fitted line compare to this guideline?

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Height Weight 2 3 4 130 135 139 5 6 143 148 00 9 10 11 7 8 12 13 14 152 157 162 166 171 175 180 185