RefertothePoissonloglinearmodelin Section 7.4.2 for thehorseshoecrabs,withweightand color asexplanatoryvariables. (a) Whenyouviewascatterplot,identifyanunusualobservation.Re-fitthePoissonGLM without itanddescribehowtheestimateoftheweighteffectchanges. (b) FitthePoissonloglinearmodelwithweightandcolorpredictorsinwhichcoloristreated quantitativelywithscores(1,2,3,4).Comparetothecategorical-colormodelfittedin Section 7.4.2 (i)

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RefertothePoissonloglinearmodelin Section 7.4.2 for thehorseshoecrabs,withweightand color asexplanatoryvariables.

(a) Whenyouviewascatterplot,identifyanunusualobservation.Re-fitthePoissonGLM without itanddescribehowtheestimateoftheweighteffectchanges.

(b) FitthePoissonloglinearmodelwithweightandcolorpredictorsinwhichcoloristreated quantitativelywithscores(1,2,3,4).Comparetothecategorical-colormodelfittedin Section 7.4.2 (i) bydescribingthecoloreffectforeach,(ii)bycomparingAICvalues.

Whichmodeldoyouprefer?Why?

(c) Fit themodelspermittinginteraction,withcolorasquantitative.Isthismodelpreferred to thecorrespondingmain-effectsmodelaccordingtoeitherstatisticalsignificanceor AIC?

(d) Repeat(b)and(c)usingnegativebinomialmodeling.Ofthevariousmodels,whichwould youselectforthesedata?Why?

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