Access the horseshoe crab data of Table 3.2 at www.stat.ufl.edu/∼aa/introcda/

appendix.html.

a. Using x = weight and Y = number of satellites, fit a Poisson loglinear model. Report the prediction equation.

b. Estimate the mean of Y for female crabs of average weight 2.44 kg.

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

d. Conduct aWald test of the hypothesis that the mean of Y is independent of weight. Interpret.

e. Conduct a likelihood-ratio test about the weight effect. Interpret.