Multiple Linear Regression

Multiple linear regression extends simple regression to more than one predictor:

$$y_i = \beta_0 + \beta_1 x_{i1} + \beta_2 x_{i2} + \cdots + \beta_k x_{ik} + e_i.$$

Each coefficient measures the change in the mean response associated with one predictor while holding the others fixed. This is the standard regression framework for modeling several explanatory variables at once.