Refer to Table 4.3. a. Fit a Poisson loglinear model using both W = weight and C

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Refer to Table 4.3.

a. Fit a Poisson loglinear model using both W = weight and C = color to predict Y = number of satellites. Assigning dummy variables, treat C as a nominal factor. Interpret parameter estimates.

b. Estimate E(Y) for female crabs of average weight (2.44 kg) that are (i) medium light, and (ii) dark.

c Test whether color is needed in the model. 

d. The estimated color effects are monotone across the four categories. Fit a simpler model that treats C as quantitative and assumes a linear effect. Interpret its color effect and repeat the analyses of parts (b) and (c). Compare the fit to the model in part (a). Interpret.


Table 4.3:

Number of Crab Satellites by Female's Characteristics

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