For the horseshoe crab data (Table 3.2 available at http://www.stat.ufl.edu/~aa/intro-cda/appendix.html), fit the logistic regression model for pi =probability of a satellite, using weight as the predictor.

a. Report the maximum likelihood prediction equation.
b. Find pi-hat at the weight values 1.2, 2.44, and 5.2kg, which are the sample minimum, mean, and maxiumum.
c. Find the weight at which pi-hat =.5
d. At the weight value found in (c), give a linear approximation for the estimated effect of (i) a 1kg increase in weight. This represent a relatively large increase, so convert this to the effect of (ii) a 0.10kg increase, and (iii) a standard deviation increase in weight (0.58kg).
e. Construct a 95% confidence interval to describe the effect of weight on the odds of a satellite. interpret.
f. Conduct the Wald or likelihood-ratio test of the hypothesis that weight has no effect. Report the P-value, and interpret.