Regression Line with Mathematics for the Linear Regression
Last Updated on July 24, 2023 by Editorial Team
Author(s): Gul Ershad
Originally published on Towards AI.
The equation of Intercept a:

Regression is a prediction where the target is continuous and its applications are several. It is the simplest parametric model. Every data-set is given in a pair consisting of an input feature vector and label value. The main goal is to hypothesize the parameters to predict the target values of the test data after training from the training data-set.
The below table has two variables X and Y. Here, Y is known as the target variable or independent variable, and X is known as the explanatory variable.
X and Y variables
The prediction of the height of a child based on his age… Read the full blog for free on Medium.
Join thousands of data leaders on the AI newsletter. Join over 80,000 subscribers and keep up to date with the latest developments in AI. From research to projects and ideas. If you are building an AI startup, an AI-related product, or a service, we invite you to consider becoming a sponsor.
Published via Towards AI
Towards AI Academy
We Build Enterprise-Grade AI. We'll Teach You to Master It Too.
15 engineers. 100,000+ students. Towards AI Academy teaches what actually survives production.
Start free — no commitment:
→ 6-Day Agentic AI Engineering Email Guide — one practical lesson per day
→ Agents Architecture Cheatsheet — 3 years of architecture decisions in 6 pages
Our courses:
→ AI Engineering Certification — 90+ lessons from project selection to deployed product. The most comprehensive practical LLM course out there.
→ Agent Engineering Course — Hands on with production agent architectures, memory, routing, and eval frameworks — built from real enterprise engagements.
→ AI for Work — Understand, evaluate, and apply AI for complex work tasks.
Note: Article content contains the views of the contributing authors and not Towards AI.