1. Linear Regression

2. Distribution of Parameters
Since, a and b are constants and xi is a constant for i, then

3. Distribution of Parameters

4. Distribution of Parameters

5. Distribution of Parameters

6. Distribution of a
Linear combination of normals

7. Distribution of a

8. Summary

9. Residuals

10. Residuals

11. Sum of Squares

12. Sum of Squares

13. Statistical Inferences

14. Statistical Inferences

15. Sum of Squares

16. Sum of Squares

17. Statistical Inferences
Recall,

18. Statistical Inferences

19. Sum of Squares

20. Sum of Squares

21. Inference on a Mean Response

22. Inference on a Mean Response

23. Inference on a Mean Response

24. Inference on a Mean Response
Unfortunately, we do not know s2, but we do have an estimate for s2. Recall,

25. Inference on a Mean Response
Unfortunately, we do not know s2, but we do have an estimate for s2. Recall,

26. Inference on a Mean Response

27. Sum of Squares
Compute 95% C.I. for 170 temp

29. Inference of Future Response