I am sure, that this is not a pure Poisson! Huge overdispersion!
You get inflated confidence intervals! 
(although, the point estimates of the regression coefficients stay the same)
Try to look for the causes of overdispersion! It may be geteroscedastisity?
What is the nature of the response, is it the positive integers?
Perhaps in your model still missing something important predictors?
Or just you can try the Gamma or log-normal distr.

Ivan, IPAE UB RAS




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