Chapter 3.4, Problem 18E

Remainder Round all answers to two decimal places unless otherwise indicated.

Running Speed Versus Length The table on the next page gives the length L, in inches, of an animal and its maximum speed R, in feet per second, when it runs. (For comparison, 10 feet per second is about 6.8 miles per hour.)

Animal	Length $\mathit{L}$	Speed $\mathit{R}$
Deermouse	3.5	8.2
Chipmunk	6.3	15.7
Desert crested lizard	9.4	24.0
Grey squirrel	9.8	24.9
Red fox	24.0	65.6
Cheetah	47.0	95.1

a. Does this table support the generalization that larger animals run faster?

b. Plot the data points.

c. Find the equation of the regression line for $R$ as a function of $L$, and explain in practical terms the meaning of its slope. (Round regression parameter to two decimal places.) Add the plot of the regression line to the data plot in part b.

d. Judging on the basis of the plot in part c, which is faster for its size, the red fox or the cheetah?