Speed swimming versus length: This is a continuation . Table 5.4 gives the length L, in inches, of a swimming animal and its maximum speed S, in feet per second, when it swims.
a. Find a formula for the regression line of ln S against ln L. (Round the slope to one decimal place.)
b. Find a formula that models S as a power function of L. On the basis of the power you found, what special type of power function is this?
c. Add the graph of S against L to the graph of F that you drew .
d. Is flying a significant improvement over swimming if an animal is 1 foot long (the approximate length of a flying fish)?
e. Would flying be a significant improvement over swimming for an animal 20 feet long?
f. A blue whale is about 85 feet long, and its maximum speed swimming is about 34 feet per second. Judging on the basis of these facts, do you think the trend you found in part b continues indefinitely as the length increases?