[R] Form of the equation produced by a GLM with Poisson family and log link function

From: Marianne Gilbert <MGilbert_at_jacqueswhitford.com>
Date: Fri 26 Jan 2007 - 21:07:09 GMT

Hi everyone,

My background is not math and I am trying to figure out exactly what equation to use to map a response variable in GIS based on the coefficients obtained from the GLM and the values of the independent variables in each grid cell of my study area. Most specifically, I want to know how to incorporate the Poisson family and log link function in the equation. I would really appreciate if someone could help me with this or direct me towards literature that would help me do this.

Here are the coefficients from my model:

Call: glm(formula = count ~ slope + sst + chl + dist + ice, family = poisson, data = dfo2003cc)

(Intercept) slope sst chl dist ice  -6.884e-01 -6.740e-01 5.644e-01 -2.694e+00 -7.278e-05 1.044e-01 Degrees of Freedom: 412 Total (i.e. Null); 407 Residual

Null Deviance:      544.7 
Residual Deviance: 413.2        AIC: 512.2 

Thanks in advance!

Marianne Gilbert, M.Sc., R.P.Bio.
Environmental Scientist - Marine Biology Jacques Whitford
4370 Dominion St., 5th Floor
Burnaby, B.C.
V5G 4L7, Canada
Tel. (604) 436-3014, ext. 253
Fax. (604) 436-3752

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