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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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