For the counts of horseshoe-crab satellites in Table 4.3, Table 13.10 shows the results of ML fitting

Question:

For the counts of horseshoe-crab satellites in Table 4.3, Table 13.10 shows the results of ML fitting of the negative binomial model using width as the predictor, with the identity link.

a. State and interpret the prediction equation.

b. Show that at a predicted µÌ‚, the estimated variance is roughly µÌ‚ + µÌ‚2.

c. The corresponding Poisson GLM has fit µÌ‚ = €“11.53 + 0.55x (SE = 0.06). Compare 95% confidence intervals for the slopes for the two models. Interpret, and indicate whether overdispersion seems to exist relative to the Poisson GLM.


Table 4.3

Number of Crab Satellites by Female's Characteristics


Table 13.10

Results Standard Error 2.8275 Wald 95% Confidence Limits -16.6890 0.3089 Chi- Square 15.54 Estimate Parameter Intercept

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