Muscle Mass Data Source: Neter Problem 1.27 Questions 2.28 Refer to Muscle mass Problem 1.27. a Obtain a 95 percent confidence interval for the mean muscle mass for women of age 60. Interpret your confidence interval. b Obtain a 95 percent prediction interval for the muscle mass of a woman whose age is 60. Is the prediction interval relatively precise? c Determine the boundary values of the 95 percent confidence band for the regression line when Xh = 60.0. Is your confidence band wider at this point than the confidence interval in part (a)? Should it be? 2.29 Refer to Muscle mass Problem 1.27. a Plot the deviations:Y Ð Yhat against X on one graph. Plot the deviations YÑ Ybar against X on another graph, using the same scales as in the first graph. From your two graphs, does SSE or SSR apppear to be the larger component of SSTO? What does this imply about the magnitudhde of r-squared ? b Set up the ANOVA table. c Test whether B1 = 0 using an F test with alpha = 0.10. State the alternatives, decision rule, and conclusion. d What proportion of the total variation in muscle mass remains 'unexplained" when age is introduced into the analysis? Is this proportion relatively small or large? e Obtain r-squared and r. Muscle Mass Age 82 71 91 64 100 43 68 67 87 56 73 73 78 68 80 56 65 76 84 65 116 45 76 58 97 45 100 53 105 49 77 78