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

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Presentation on theme: "Copyright © 2013 Pearson Education, Inc. All rights reserved Chapter 11 Simple Linear Regression."— Presentation transcript:

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


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