Statistics › Section L · Linear regression and correlation › Topic L.3

The least-squares regression line

A scatterplot shows the relationship; a regression line summarises it into a prediction machine. The least-squares line is the one that misses the data least - and its slope and intercept carry the story in usable units.

In this topic

  • From scatter to line
  • Least squares: the criterion
  • The formulas
  • Worked example: the house-price line
  • Worked example: using and misusing the line
  • Interpreting slope and intercept
  • Regression toward the mean
  • Regression is not symmetric
  • Common mistakes to avoid
  • Key takeaways

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