Statistics › Section L · Linear regression and correlation › Topic L.6

Residuals, outliers, and influential points

A regression line is only useful if it fits - and the residuals, the leftovers the line could not explain, are how that judgement is made. One plot tells more than any summary number, and two numbers say how much the line is worth.

In this topic

  • Leftovers tell the truth
  • The residual plot
  • r²: the fraction explained
  • The residual standard deviation: the typical miss
  • Outliers and influential points
  • Transformations when the line is wrong
  • Worked example: the fuel-efficiency line
  • Worked example: reading the pair of numbers
  • Common mistakes to avoid
  • Key takeaways

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