Statistical Modeling & Regression · Linear Regression & Diagnostics

Linear regression: Model diagnostics and assumption validation

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Introduction Technical Treatise on Advanced Modeling

Overview

Topics covered

  • Introduction
  • Diagnosis and Validation of Assumptions in Linear Regression
  • OLS: Mathematical Formulation and Asymptotic Properties
  • Matrix Formulation and Estimator Equations
  • The Assumptions of the Classical Linear Model (MLC)
  • The Gauss-Markov Theorem

Related concepts

Main connections

  • Residual analysis & diagnostics
  • Variance & standard deviation
  • Time series & ARIMA
  • Linear algebra & matrices
  • Collinearity & VIF
  • Linear regression

Compatible notation

Mathematical sample in LaTeX

The expression is rendered accessibly, with its LaTeX source preserved below.

Y=Xβ+ε
View LaTeX sourceY = X\beta + \varepsilon