Building a Linear Regression Model from Scratch with Gradient Descent in Python

Overview Title Gradient Descent Linear Regression in Python Meta Description Learn how to build a linear regression model from scratch using gradient descent in Python. Step‑by‑step code, math, and practical tips. Tags linearregression gradientdescent python machinelearning dataanalysis codingtutorial algorithm mse supervisedlearning 1. Introduction Linear regression is usually the first model you build when learning machine learning. It introduces the essential concepts of parameters, loss, gradients, and optimisation in the simplest setting: a straight‑line fit. In this post we’ll walk through a compact Python script that learns a line from five data points using gradient descent. We’ll explain the maths, step through the code, and predict a new value. By the end you’ll understand why the parameters change and how to tweak the algorithm for your own data. 2. What the program does in a nutshell The script trains a linear model to minimise mean‑squared error between predictions and the