Multiple Linear Regression

Multiple regression analysis has many uses. First, it enables a linear equation involving the X variables to be constructed that predicts Y. Second, given several possible X variables that could potentially be related to Y, an investigator may wish to select a subset of the X variables that gives the best linear prediction equation. Third, an investigator may wish to determine which of a group of X variables are actually related to Y and to rank them in order of importance. The data comprise a single dependent (Y) variable, namely, radial growth of the lichen in each 3 - month period and eight possible defining (X) variables and are presented in this chapter. Multiple linear regression determines the linear relationship between one dependent variable and multiple independent variables and has many potential uses.