Research performed at NASA and led by Emily R. Morey-Holton measured the lengths of the right humerus and right tibia in 11 rats who were sent to space on Spacelab Life Sciences 2. The following data were collected.

(a) Find the least-squares regression line treating the length of the right humerus, x, as the explanatory variable and the length of the right tibia, y, as the response variable.
(b) Interpret the slope and y-intercept, if appropriate.
(c) Determine the residual if the length of the right humerus is 26.11 mm and the actual length of the right tibia is 37.96 mm. Is the length of this tibia above or below average?
(d) Draw the least-squares regression line on the scatter diagram.
(e) Suppose one of the rats sent to space experienced a broken right tibia due to a severe landing. The length of the right humerus is determined to be 25.31 mm. Use the least-squares regression line to estimate the length of the right tibia.

Transcribed Image Text:

Right Humerus Right Rig Tibia Right Tibia 24.80 24.59 24.59 24.29 23.81 24.87 36.05 35.57 35.57 34.58 34.20 34.73 Humerus mm), x 25.90 26.11 26.63 26.31 26.84 37.38 37.96 37.46 37.75 38.50