1. A study of the relation between the waistline and percent body fat in men yielded the data shown (waistline measurement in inches). waistline (x) 34.7 46.5 32.8 41.3 percent fat (y) 21.8 33.6 13.4 27.1 36.1375 y = 21.1875 SSxx=248.53875 SSzy = 29.8 39.3 35.7 29.0 13.7 30.2 18.5 11.2 332.67375 SSyy = 494.30875 (a) Find the proportion of the variability in percent body fat that is accounted for by the size of the waistline. Explain fully. (b) Find the regression line for predicting y from x. (c) Construct a 95% confidence interval for the average percent body fat of all men whose waistline size is 34.0 inches.

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1. A study of the relation between the waistline and percent body fat in
men yielded the data shown (waistline measurement in inches).
waistline (x) 34.7 46.5 32.8 41.3 29.8 39.3 35.7 29.0
percent fat (y) 21.8 33.6 13.4 27.1 13.7 30.2 18.5 11.2
x = 36.1375 y = 21.1875 SSxx = 248.53875 SSay = 332.67375 SSyy = 494.30875
(a) Find the proportion of the variability in percent body fat that is
accounted for by the size of the waistline. Explain fully.
(b) Find the regression line for predicting y from x.
(c) Construct a 95% confidence interval for the average percent body fat
of all men whose waistline size is 34.0 inches.
(d) test HO: Beta1 is 0 vs. Ha : Beta1 is not 0, compute the appropriate
test statistic and p-value, then make your decision at a = 0.05.
(e) Construct a 90% confidence interval for beta1.
(f) Compute a 90% confidence interval for the average percent fat when
waistline is 35.
Transcribed Image Text:1. A study of the relation between the waistline and percent body fat in men yielded the data shown (waistline measurement in inches). waistline (x) 34.7 46.5 32.8 41.3 29.8 39.3 35.7 29.0 percent fat (y) 21.8 33.6 13.4 27.1 13.7 30.2 18.5 11.2 x = 36.1375 y = 21.1875 SSxx = 248.53875 SSay = 332.67375 SSyy = 494.30875 (a) Find the proportion of the variability in percent body fat that is accounted for by the size of the waistline. Explain fully. (b) Find the regression line for predicting y from x. (c) Construct a 95% confidence interval for the average percent body fat of all men whose waistline size is 34.0 inches. (d) test HO: Beta1 is 0 vs. Ha : Beta1 is not 0, compute the appropriate test statistic and p-value, then make your decision at a = 0.05. (e) Construct a 90% confidence interval for beta1. (f) Compute a 90% confidence interval for the average percent fat when waistline is 35.
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