For the Crabs data file (partially shown in Table 3.2) at www.stat.ufl.edu/~aa/

cat/data, fit the Poisson loglinear model to use weight to predict the number of satellites.

a. Report the prediction equation, and estimate the mean response for female crabs of average weight, 2.44 kg.

b. Use βˆ to describe the weight effect. Construct a 95% confidence interval for β and for the multiplicative effect of a 1-kg increase.

c. Conduct Wald and likelihood-ratio tests of the hypothesis that the mean response is independent of weight. Interpret.