Glossary math Term Page

Linear Regression

A best-fit linear predictive model

linear-regression #math#machine-learning#linear-algebra

Korean version

Aliases

linear regression

Prerequisites

Least Squares

Related Concepts

Least Squares Normal Equation Residual Column Space

Core Idea

Linear regression fits the best linear relationship between input features and observed outputs. In linear algebra language, it is a least-squares problem built from a design matrix, parameter vector, and observation vector.

Role In This Blog

In Mathbong, linear regression is used as the practical application that makes least squares, residuals, projections, and normal equations feel concrete.

Posts Mentioning This Concept

[선형대수 시리즈 17편] 직교와 정사영: 가장 가까운 점 찾기 직교와 정사영을 통해 벡터를 기준 공간에 가장 가깝게 맞추는 방법을 설명합니다.[Linear Algebra Series Part 18] Least Squares and the Basics of Linear Regression Use [[least-squares|least squares]] and [[linear-regression|linear regression]] to find the best approximate solution when `Ax = b` has no exact answer.[선형대수 시리즈 18편] 최소제곱과 선형회귀의 기초 해가 정확히 맞지 않는 선형시스템에서 최소제곱 해를 구하는 아이디어를 선형회귀와 연결합니다.