Poisson Regression and Log Link Function

00:00 4 marks

Explain the role of the link function in a Poisson regression model and discuss how it helps in modeling count data within the GLM framework. In your answer, highlight why the logarithm is typically used as the link function.

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Hint

Recall that the link function connects the linear predictor with the mean of the response and ensures that the predicted mean remains positive.

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Answer Answer

Complete Answer

The link function, typically the logarithm, transforms the linear predictor to the expected count, ensuring that predictions are positive and enabling the model to capture multiplicative effects on the response.

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