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Inference in Simple Linear Regression

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Presentation on theme: "Inference in Simple Linear Regression"— Presentation transcript:

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

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15 ANOVA Partitioning - I

16 ANOVA Partitioning

17 Analysis of Variance Table

18 F-Test for H0:b1=0 vs HA:b1≠0

19 Comments on F-Test

20 General Linear Test – Very Flexible Method

21 Example 1 – H0: b1 = 0

22 Descriptive Measures of Linear Association

23 Correlation Models – Y1,Y2 Bivariate Normal

24 Inferences on Correlation Coefficients

25 Confidence Interval for r12

26 Spearman Rank Correlation Coefficient


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