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A Visual Explanation of Linear Regression

··239 words·2 mins·

📊 The best visual guide to linear regression you’ll find — 100+ images and 33 animations

This article by Mikhail Sarafanov took more than a year to write. And it shows.

🎯 What it covers:

  • Why we need models — from raw data to useful predictions
  • Simple regression: y = b₀ + b₁·x — what the intercept and slope mean
  • Least squares — how to find the best line analytically
  • Evaluation metrics: R², RMSE, MAE, MAPE
  • Multiple regression — predictions based on many variables
  • Gradient descent — when the analytical solution isn’t practical
  • L1/L2 Regularization — how to avoid overfitting
  • Cross-validation — ensuring the model generalizes well

What makes it special:

  • Designed so you understand it just by looking at images and animations
  • All code is open source and reproducible in Python
  • Narrative structure: each step solves the problem that emerged in the previous one

💡 Explanation in a nutshell
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Linear regression is like drawing the best straight line through a cloud of points on a graph. If you have apartment prices by size, regression gives you the formula to predict any apartment’s price. It’s the starting point for all of Machine Learning.

More information at the link 👇

Also published on LinkedIn.
Juan Pedro Bretti Mandarano
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Juan Pedro Bretti Mandarano