1. Copyright © 2013 Pearson Education, Inc. All rights reserved Chapter 11 Simple Linear Regression

2. Copyright © 2013 Pearson Education, Inc. All rights reserved 11.1 Probabilistic Models

3. 11 - 3 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 11.1 Possible reaction times y for five different drug percentages x

4. 11 - 4 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

5. 11 - 5 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

6. 11 - 6 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 11.2 The straight-line model

7. 11 - 7 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

8. Copyright © 2013 Pearson Education, Inc. All rights reserved 11.2 Fitting the Model: The Least Squares Approach

9. 11 - 9 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 11.1

10. 11 - 10 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 11.3 Scatterplot for data in Table 11.1

11. 11 - 11 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 11.4 Visual straight line fitted to the data in Figure 11.3

12. 11 - 12 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 11.2

13. 11 - 13 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

14. 11 - 14 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Formula

15. 11 - 15 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 11.3

16. 11 - 16 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 11.5 The line fitted to the data

17. 11 - 17 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 11.4

18. 11 - 18 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 11.6a SAS printout for the time-drug regression

19. 11 - 19 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 11.6b SPSS printout for the time- drug regression

20. 11 - 20 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 11.6c MINITAB printout for the time- drug regression

21. 11 - 21 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

22. 11 - 22 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table SIA11.1

23. 11 - 23 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA11.1 MINITAB scatterplot of dowsing data

24. 11 - 24 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA11.2 MINITAB simple linear regression for dowsing data

25. Copyright © 2013 Pearson Education, Inc. All rights reserved 11.3 Model Assumptions

26. 11 - 26 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 11.7 The probability distribution of 

27. 11 - 27 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

28. 11 - 28 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 11.8 SAS printout for the time-drug regression

29. 11 - 29 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

30. Copyright © 2013 Pearson Education, Inc. All rights reserved 11.4 Assessing the Utility of the Model: Making Inferences about the Slope  1

31. 11 - 31 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 11.9 Graph of the straight-line model when the slope is zero, i.e.,

32. 11 - 32 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

33. 11 - 33 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 11.10 Sampling distribution of

34. 11 - 34 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

35. 11 - 35 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

36. 11 - 36 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 11.11 Rejection region and calculated t value for testing versus

37. 11 - 37 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 11.12 MINITAB printout for the time- drug regression

38. 11 - 38 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

39. 11 - 39 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

40. 11 - 40 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

41. 11 - 41 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 11.13 SPSS printout with 95% confidence intervals for the time-drug regression betas

42. 11 - 42 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA11.3 MINITAB simple linear regression for dowsing data

43. Copyright © 2013 Pearson Education, Inc. All rights reserved 11.5 The Coefficients of Correlation and Determination

44. 11 - 44 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

45. 11 - 45 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 11.14 Values of r and their implications

46. 11 - 46 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 11.5

47. 11 - 47 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 11.15 MINITAB correlation printout and scatterplot for Example 11.4

48. 11 - 48 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

49. 11 - 49 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

50. 11 - 50 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 11.16 A comparison of the sum of squares of deviations for two models

51. 11 - 51 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

52. 11 - 52 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 11.6

53. 11 - 53 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 11.17 Portion of SPSS printout for time- drug regression

54. 11 - 54 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

55. 11 - 55 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA11.4 MINITAB printouts with coefficients of correlation and determination for the dowsing data

56. Copyright © 2013 Pearson Education, Inc. All rights reserved Using the Model for Estimation and Prediction 11.6

57. 11 - 57 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 11.18 Estimated mean value and predicted individual value of reaction time y for x = 4

58. 11 - 58 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

59. 11 - 59 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

60. 11 - 60 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

61. 11 - 61 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 11.19 MINITAB printout giving 95% confidence interval for E(y) and 95% prediction interval for y

62. 11 - 62 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 11.20 Error in estimating the mean value of y for a given value of x

63. 11 - 63 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 11.21 Error in predicting a future value of y for a given value of x

64. 11 - 64 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 11.22 Confidence intervals for mean values and prediction intervals for new values

65. 11 - 65 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA11.5 MINITAB prediction interval for dowsing data

66. Copyright © 2013 Pearson Education, Inc. All rights reserved A Complete Example 11.7

67. 11 - 67 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 11.7

68. 11 - 68 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 11.23 SAS printout for fire damage regression

69. 11 - 69 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 11.24 MINITAB scatterplot with least squares line for fire damage regression analysis