Multiple Regression (Graphical)

Multiple (linear) regression is a regression technique aimed at finding a linear relationship between the dependent variable and multiple independent variables. (See regression analysis.)

The multiple regression model is as follows:

where Y_i are values of the dependent variable, X_1i, X_2i, … , X_mi are values of m independent variables, E_i – random errors, N > m+1 is the sample size.

Multiple regression finds the set of parameters B₀, B₁, … , B_mi that provides the best fit between the model and the given data (which are a set of N vectors – {(Y_i, X_1i, … , X_mi), i=1,…,N}).