Table 4.7 lists total attendance (in thousands) and the total number of arrests, in the 1987-1988 season for soccer teams in the Second Division of the British football league. (Thanks to Dr. P. M. E. Altham for showing me these data.)

a. Let Y denote the number of arrests for a team with total attendance 1. Explain why the model E(Y) = ut might be plausible. Show that it has alternative form log[E(Y)/t] =

a, where a = log(). Assuming Poisson sampling, fit the model, and interpret the estimate of .

b. Plot arrests against attendance, and overlay the prediction equation. Use residuals to identify teams that had a much larger or smaller than expected number of arrests.