Display 3.112 shows the brain weights and body weights for a collection of mammals. The goal is to establish the relationship of brain weight to body weight.
a. Assuming that there is a power relationship here, can you guess what it is from the scatterplot? If y is written as a function of x to some power, should the power be greater than 1 or less than 1?
b. Plot log(brain) versus log(body). Describe the pattern of the plot.
c. Fit a line to the plot in part b. Write an equation relating y to x. Does your equation support your answer to part a?