Bone Length Research performed at NASA and led by Dr. Emily R. Morey-Holton measured the

Chapter 14, Problem 14

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Bone Length Research performed at NASA and led by Dr. Emily R. Morey-Holton measured the lengths of the right humerus and right tibia in 11 rats that were sent into space on Spacelab Life Sciences 2. The following data were collected: Right Humerus (mm), x Right Tibia (mm), y Right Humerus (mm), x Right Tibia (mm), y 24.80 36.05 25.90 37.38 24.59 35.57 26.11 37.96 24.59 35.57 26.63 37.46 24.29 34.58 26.31 37.75 23.81 34.20 26.84 38.50 24.87 34.73 Source: NASA Life Sciences Data Archive Use the results from in Section 4.2 to answer the following questions: (a) Treating the length of the right humerus as the explanatory variable, x, determine the estimates of b0 and b1. (b) Compute the standard error of the estimate. (c) Determine whether the residuals are normally distributed. (d) If the residuals are normally distributed, determine sb1 . (e) If the residuals are normally distributed, test whether a linear relation exists between the length of the right humerus, x,and the length of the right tibia, y, at the a = 0.01 level ofsignificance.(f) If the residuals are normally distributed, construct a 99%confidence interval for the slope of the true least-squaresregression line.(g) What is the mean length of the right tibia on a rat whose righthumerus is 25.93 mm?