6.3 Table 6.14 displays primary food choice for a sample of alligators, classified by length (≤2.3 meters, >2.3 meters) and by the lake in Florida in which they were caught.

a. Fit a model to describe effects of length and lake on primary food choice.

Report the prediction equations.

b. Using the fit of your model, estimate the probability that the primary food choice is “fish,” for each length in Lake Oklawaha. Interpret the effect of length.