Revisiting the Conceptualization of Multiple Linear Regression

Abstract

The problem known as multicolinearity has long been recognized to fundamentally and negatively influence multiple regression. This paper does not intend to either propose a numerical assessment of the degree to which this problem exists within any data set or a solution to the problem itself. Rather, it is our intent to illustrate the potentially serious ramifications multicolinearity has on the traditional development of the multiple linear regression (MLR) model and its associated statistics using established equations, Venn diagrams, and real data.