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Comparing Linear Regressions: Significance Testing and Slope Analysis

In chapter 18, explore the topics of linear regression comparison, goodness of fit, contingency tables, and sign and run tests. Analyze intelligence and age relationship of chupacabras. Evaluate sample regressions and determine Ho acceptance.

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Comparing Linear Regressions: Significance Testing and Slope Analysis

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  1. Comparasión de Regresión Lineales Capitulo 18

  2. Los temas • Regresión Lineal • Comparando ecuaciones lineales • Bondad de ajuste (Chi square) • Tabla de contingencia • The sign test (la prueba de signos) • The run test (la prueba de corrida)

  3. Hembra Macho La inteligencia La edad de los chupacabras

  4. Comparing simple linear regressions • Fig. 18.1

  5. Comparing Slopes

  6. Ho: ? Ha: ? Sample 1 Sample 2

  7. Calculate the following

  8. Calculate the following

  9. Do you accept the Ho?

  10. Comparing two elevations • The regression lines have the same elevations? • Sum of squares of X for the common regression

  11. Sum of cross products for the “common regression”

  12. Sum of squares of Y for the “common regression”

  13. Residual SS for the “common regression”

  14. La regressión en comun

  15. La prueba

  16. Sample 1 Sample 2

  17. Resultado • Ac = 2671.6256 • Bc = 4060.7718 • Cc = 6467.2410 • bc = 1.520 • SSc = 295.0185 • DFc = 25 • (s2Y*X)c = 11.8007 • t = 8.218, • t0.05,(2),25 = 2.060

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