3. Refer to the horseshoe crab data ("HorseshoeCrabs.txt" on the course Canvas site). (a) Using a = weight and Y = number of satellites, fit a Poisson lo linear model. Report the prediction equation. (b) Estimate the mean of Y for female crabs of average weight 2.44 kg. (c) Uses to describe the weight effect. Construct a 95% confidenc interval for8 and for the multiplicative effect of a 1 kg increase. (d) Conduct a Wald test of the hypothesis that the mean of Y i independent of the weight. Interpret. (e) Conduct a likelihood-ratio test about the weight effect. Interpret (NOTE: we will cover this in lecture on Monday, November 11.)