fit3 glm Sa factor (color) width.shifted, family poisson link \"log\")) summary

Question

fit3 glm Sa factor (color) width.shifted, family poisson link "log")) summary (fit3) Only part of the summary included here Coefficients: Estimate Std. Error z value Pr( Izl) (Intercept) 1.27750 0.14459 8.835 2e-16 factor (color)2 -0.19969 0.15364 1.300 0.1937 factor (color)3 -0.43636 0.17636 2.474 0.0133 e factor (color)4 -0.44736 0.20912 2.139 0.0324 e width shifted 0.14934 0.02084 7.166 7.73e-13 eee Signif. codes 0 0.001 0.01 0.05 0.1 1 (Dispersion parameter for poisson family taken to be 1) Null deviance: 632.79 on 172 degrees of freedom Residual deviance: 559.34 on 168 degrees of freedom AIC: 924.64 Number of Fisher Scoring iterations: 6 (d) Based only on the results and assumptions of model fit3. predict the number of satellites around a female nesting horseshoe crab, if she has color level 4 and width 28.9

Explanation / Answer

fit3 gives follwoing regression equation

y=1.2775 - 0.19969*color2 - 0.43636*color3 - 0.44736*color4+0.14934*width

here y is satelite is dependent variable and color2, color3, color4 and widht are indpendent variable.

for width=28.9 and color4 is present, color2 and color3 are absent

the predicted value is given as

so, y=1.2775 - 0.44736+0.14934*28.9=5.1461

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