Table 6.5, available in the Alligators2 data file at the text website, 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. Fit a model to describe the effects of length and lake on primary food choice. Report the prediction equations, with fish as the baseline category. Interpret the effect of length on the choice between invertebrates and fish.