TYPES OF REGRESSION

Simple regression pertains to one dependent variable (y) and one independent variable (x):y=f(x)

Multiple regression (aka multivariable regression) pertains to one dependent variable and multiple independent variables: y=f(x1,x2,...,xn)

Multivariate regression pertains to multiple dependent variables and multiple independent variables: y1,y2,...,ym=f(x1,x2,...,xn). You may encounter problems where both the dependent and independent variables are arranged as matrices of variables (y11,y12,... and x11,x12,...), so the expression may be written as Y=f(X)

Y=f(X), where capital letters indicate matrices.