Research performed at NASA and led by Dr. Emily R. Morey-Holtonmeasured the lengths of the right humerus and right tibia in 11rats that were sent into space on Spacelab Life Sciences 2. Thefollowing data were collected:
| Right Humerus (mm), x | Right Tibia (mm), y | Right Humerus (mm), x | Right Tibia (mm), y |
|---|
| 24.8 | 36.05 | 25.9 | 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 | 34.2 | 26.84 | 38.5 |
| 24.87 | 34.73 | | |
a) Treating the length of the right humerus as the explanatoryvariable, x, determine the estimates of beta0 and beta1
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 alinear relation exists between the length of the right humerus, x,and the length of the right tibia, y, at the alpha=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 whoseright humerus is 25.93 mm?
