Chapter 4 Logistic regression

As we saw in Chapters 2 and 3, linear regression assumes that the response variable $$Y$$ is continuous. In this chapter we will see how logistic regression can deal with a discrete response $$Y$$. The simplest case is with $$Y$$ being a binary response, that is, a variable encoding two categories. In general, we assume that we have $$X_1,\ldots,X_k$$ predictors for explaining $$Y$$ (multiple logistic regression) and cover the peculiarities for $$k=1$$ as particular cases.