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For many data sets, this model is inadequate. For example, if the response variable is categorical with two possible responses, it makes no sense to model the outcome as normal. Also, if the response is always a small positive integer, its distribution is also not well described by a normal distribution. Generalized linear models (GLMs) are an extension of linear models to model non-normal response variables. We will study logistic regression for binary response variables and additional models in Chapter 6.