English

Revisiting the Conceptualization of Multiple Linear Regression

Methodology 2023-02-14 v1

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.

Keywords

Cite

@article{arxiv.2302.06464,
  title  = {Revisiting the Conceptualization of Multiple Linear Regression},
  author = {Grayson L. Baird and Stephen L. Bieber},
  journal= {arXiv preprint arXiv:2302.06464},
  year   = {2023}
}

Comments

18 pages, 3 figures, r code

R2 v1 2026-06-28T08:38:54.959Z