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Inference in Simple Linear Regression

Inference in Simple Linear Regression. KNNL – Chapter 2. Least Squares Estimate of b 1. Sampling Distribution of b 1 – Normal Error Model. Sampling Distribution of ( b 1 - b 1 )/ s { b 1 }. (1- a )100% Confidence Interval for b 1. Test of Hypothesis for b 1. Inference Concerning b 0.

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Inference in Simple Linear Regression

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  1. Inference in Simple Linear Regression KNNL – Chapter 2

  2. Least Squares Estimate of b1

  3. Sampling Distribution of b1 – Normal Error Model

  4. Sampling Distribution of (b1-b1)/s{b1}

  5. (1-a)100% Confidence Interval for b1

  6. Test of Hypothesis for b1

  7. Inference Concerning b0

  8. Interval Estimation of E{Yh} = b0+b1Xh

  9. Prediction Interval forYh(new) when X=Xh

  10. Confidence Band for Regression Line

  11. Analysis of Variance Approach to Regression

  12. ANOVA Partitioning - I

  13. ANOVA Partitioning

  14. Analysis of Variance Table

  15. F-Test for H0:b1=0 vs HA:b1≠0

  16. Comments on F-Test

  17. General Linear Test – Very Flexible Method

  18. Example 1 – H0: b1 = 0

  19. Descriptive Measures of Linear Association

  20. Correlation Models – Y1,Y2 Bivariate Normal

  21. Inferences on Correlation Coefficients

  22. Confidence Interval for r12

  23. Spearman Rank Correlation Coefficient

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