# Chapter 3 Multiple linear regression

The multiple linear regression is an extension of the simple linear regression saw in Chapter 2. If the simple linear regression employed a single predictor $$X$$ to explain the response $$Y$$, the multiple linear regression employs multiple predictors $$X_1,\ldots,X_k$$ for explaining a single response $$Y$$: $Y=\beta_0+\beta_1X_1+\beta_2X_2+\ldots+\beta_kX_k+\varepsilon$ To convince you why is useful, let’s begin by seeing what it can deliver in real-case scenarios!