For the negative binomial model fitted to the crab satellite counts with log link and width predictor,

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For the negative binomial model fitted to the crab satellite counts with log link and width predictor, µ̂ = –4.05, β̂ = 0.192 (SE = 0.048), k̂–1 = 1.106 (SE = 0.197). Interpret. Why is SE for β so different from SE = 0.020 for the corresponding Poisson GLM in Sec 4.3.2? Which is more appropriate? Why?

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