# Interpretation of Coefficient

In Poisson Regression, suppose we have the following regression equation: $\ln(E(Y_i|X_1)) = \beta_0+ \beta_{1}X_{1}$ where $Y$ is the number of heart attacks. Also suppose $X_1$ is a binary variable (e.g. smokers versus non-smokers). How would you interpret the coefficient $\beta_1$? Smokers, on average, have $\exp(\beta_1)$ more heart attacks than non-smokers?

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Related question: stats.stackexchange.com/questions/11096/… –  Mike Wierzbicki Feb 26 '12 at 1:04
You're right, Mike: the first part of this question and the one you reference are exactly the same. Normally that would be grounds to close this thread and merge the replies. But I notice that the second part of this question (the last line) does not appear in the duplicate and is addressed by a reply offered by @stask below. –  whuber Feb 26 '12 at 19:53