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.