I am trying to do a quasipoisson regression to know if the frequency of
drinking of my subject is related to temperature. The problem is that I'm
not sure how to interpret my result.

1) Since my result is signifiant, can I tell that the frequency of drinking
of my subject increase linearly or exponentially?

2) When I want to quantify the increase, do I need to do an exponential
transformation of my coefficient before I can interpret the result?

See below the result of my regression.


Call:
glm(formula = Freqtot_drink ~ temper, family = quasipoisson, 
    data = data_t, na.action = na.omit)

Deviance Residuals: 
   Min      1Q  Median      3Q     Max  
-4.477  -1.663  -1.150  -0.196   8.613  

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) -7.88645    1.29215  -6.103 1.47e-08 ***
temper       0.33970    0.04525   7.508 1.44e-11 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 

(Dispersion parameter for quasipoisson family taken to be 7.589744)

    Null deviance: 1023.37  on 115  degrees of freedom
Residual deviance:  561.11  on 114  degrees of freedom
  (11 observations deleted due to missingness)
AIC: NA

Number of Fisher Scoring iterations: 6


Thank you for your help



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