A statistical procedure to determine the relationship between a dependent variable and one or more explanatory variables. The purpose is normally to enable the value of the dependent variable to be predicted from given values of the explanatory variables. It is multiple regression if there are two or more explanatory variables. Usually the model supposes that Y, where Y is the dependent variable, is given by some formula involving certain unknown parameters. In multiple linear regression, with k explanatory variables X1, X2,…, Xk, then
Here b0, b1,…, bk are the regression coefficients and ε denotes the error term. See also least squares.