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Linear Regression Is Actually a Projection Problem, Part 1: The Geometric Intuition

Towards Data Science / 3/19/2026

💬 OpinionIdeas & Deep Analysis

Key Points

  • The article reframes linear regression as a projection problem, offering a geometric intuition for how predictions are formed.
  • It uses a visual guide to vectors and projections to help readers understand why the regression minimizes error in a geometric sense.
  • As Part 1 of a series, it sets up the geometric perspective to be expanded in future installments.
  • It emphasizes intuition over algebra, inviting readers to see linear regression through a projection lens.

A visual guide to vectors and projections

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