Linear and multiple regression are among the most widely used statistical methods. This chapter considers empirical likelihood inferences for linear regression and other models with covariates, such as generalized linear models. The standard setting for linear regression has fixed predictors and a random response. Empirical likelihood was developed in Chapter 3.4 for smooth functions of means and for estimating equations, but assuming independent identically distributed data. Some new techniques are required to extend empirical likelihood to settings with fixed regressors.