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What is regression?

What is regression? How tall will Caleb be? Dive into Pearson and Lee's seminal work from 1906 studying fathers' and sons' heights. Learn how to predict sons' height based on fathers' average. Understand the common regression effect on height inheritance and avoid the regression fallacy in data analysis.

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What is regression?

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  1. What is regression?

  2. How tall will Caleb be?

  3. Heights of sons Pearson & Lee, Biometrika 2:357-462, 1906 average = 69.2 in.

  4. Heights of fathers and sons

  5. Heights of fathers and sons

  6. Heights of fathers and sons average = 68.4 in.

  7. Heights of fathers and sons 12

  8. Heights of fathers and sons average = 69.5 in.

  9. Heights of fathers and sons

  10. Heights of fathers and sons

  11. Heights of fathers and sons

  12. Heights of fathers and sons

  13. Heights of fathers and sons

  14. Heights of fathers and sons

  15. Heights of fathers and sons

  16. Heights of fathers and sons

  17. Heights of fathers and sons

  18. Heights of fathers and sons

  19. Heights of fathers and sons

  20. Heights of fathers and sons

  21. Summary • Regression concerns predicting Y from X. • There are two regression lines. • The regression effect: • Tall fathers, on average, have sons who are not so tall. • Short fathers, on ave., have sons who are not so short. • The regression fallacy: assigning some deeper (causal) meaning to the regression effect.

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