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Copyright © 2014, 2011 Pearson Education, Inc. 1 Active Learning Lecture Slides For use with Classroom Response Systems Chapter 23 Multiple Regressio n

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Copyright © 2014, 2011 Pearson Education, Inc. 3 The multiple regression model (MRM) models the association in the population between multiple explanatory variables and a response. A. True B. False

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Page 1: Copyright © 2014, 2011 Pearson Education, Inc. 1 Active Learning Lecture Slides For use with Classroom Response Systems Chapter 23 Multiple Regression

Copyright © 2014, 2011 Pearson Education, Inc. 1

Active Learning Lecture SlidesFor use with Classroom Response Systems

Chapter 23Multiple Regression

Page 2: Copyright © 2014, 2011 Pearson Education, Inc. 1 Active Learning Lecture Slides For use with Classroom Response Systems Chapter 23 Multiple Regression

Copyright © 2014, 2011 Pearson Education, Inc. 2

The multiple regression model (MRM) models the association in the population between multiple explanatory variables and a response.

A. True

B. False

Page 3: Copyright © 2014, 2011 Pearson Education, Inc. 1 Active Learning Lecture Slides For use with Classroom Response Systems Chapter 23 Multiple Regression

Copyright © 2014, 2011 Pearson Education, Inc. 3

The multiple regression model (MRM) models the association in the population between multiple explanatory variables and a response.

A. True

B. False

Page 4: Copyright © 2014, 2011 Pearson Education, Inc. 1 Active Learning Lecture Slides For use with Classroom Response Systems Chapter 23 Multiple Regression

Copyright © 2014, 2011 Pearson Education, Inc. 4

Deviations of the residuals from normality may suggest an important omitted variable.

A. True

B. False

Page 5: Copyright © 2014, 2011 Pearson Education, Inc. 1 Active Learning Lecture Slides For use with Classroom Response Systems Chapter 23 Multiple Regression

Copyright © 2014, 2011 Pearson Education, Inc. 5

Deviations of the residuals from normality may suggest an important omitted variable.

A. True

B. False

Page 6: Copyright © 2014, 2011 Pearson Education, Inc. 1 Active Learning Lecture Slides For use with Classroom Response Systems Chapter 23 Multiple Regression

Copyright © 2014, 2011 Pearson Education, Inc. 6

A scatterplot matrix allows us to determine visually how strong the association is among the different pairs of variables.

A. True

B. False

Page 7: Copyright © 2014, 2011 Pearson Education, Inc. 1 Active Learning Lecture Slides For use with Classroom Response Systems Chapter 23 Multiple Regression

Copyright © 2014, 2011 Pearson Education, Inc. 7

A scatterplot matrix allows us to determine visually how strong the association is among the different pairs of variables.

A. True

B. False

Page 8: Copyright © 2014, 2011 Pearson Education, Inc. 1 Active Learning Lecture Slides For use with Classroom Response Systems Chapter 23 Multiple Regression

Copyright © 2014, 2011 Pearson Education, Inc. 8

The adjusted R-squared takes account of…

A. the number of explanatory variables.

B. the number of observations.

C. the number of outliers.

D. both A. and B. above.

Page 9: Copyright © 2014, 2011 Pearson Education, Inc. 1 Active Learning Lecture Slides For use with Classroom Response Systems Chapter 23 Multiple Regression

Copyright © 2014, 2011 Pearson Education, Inc. 9

The adjusted R-squared takes account of…

A. the number of explanatory variables.

B. the number of observations.

C. the number of outliers.

D. both A. and B. above.

Page 10: Copyright © 2014, 2011 Pearson Education, Inc. 1 Active Learning Lecture Slides For use with Classroom Response Systems Chapter 23 Multiple Regression

Copyright © 2014, 2011 Pearson Education, Inc. 10

The formula for the residual degrees of freedom in a multiple regression is…

A. n – 1.

B. k – 1.

C. n – k.

D. n – k – 1.

Page 11: Copyright © 2014, 2011 Pearson Education, Inc. 1 Active Learning Lecture Slides For use with Classroom Response Systems Chapter 23 Multiple Regression

Copyright © 2014, 2011 Pearson Education, Inc. 11

The formula for the residual degrees of freedom in a multiple regression is…

A. n – 1.

B. k – 1.

C. n – k.

D. n – k – 1.

Page 12: Copyright © 2014, 2011 Pearson Education, Inc. 1 Active Learning Lecture Slides For use with Classroom Response Systems Chapter 23 Multiple Regression

Copyright © 2014, 2011 Pearson Education, Inc. 12

Because the slope in a multiple regression separates the effects of the explanatory variables, it is known as a…

A. inverse slope.

B. reciprocal slope.

C. marginal slope.

D. partial slope.

Page 13: Copyright © 2014, 2011 Pearson Education, Inc. 1 Active Learning Lecture Slides For use with Classroom Response Systems Chapter 23 Multiple Regression

Copyright © 2014, 2011 Pearson Education, Inc. 13

Because the slope in a multiple regression separates the effects of the explanatory variables, it is known as a…

A. inverse slope.

B. reciprocal slope.

C. marginal slope.

D. partial slope.

Page 14: Copyright © 2014, 2011 Pearson Education, Inc. 1 Active Learning Lecture Slides For use with Classroom Response Systems Chapter 23 Multiple Regression

Copyright © 2014, 2011 Pearson Education, Inc. 14

Because the slopes in a simple regression average over excluded explanatory variables, we call them…

A. inverse slopes.

B. reciprocal slopes.

C. marginal slopes.

D. partial slopes.

Page 15: Copyright © 2014, 2011 Pearson Education, Inc. 1 Active Learning Lecture Slides For use with Classroom Response Systems Chapter 23 Multiple Regression

Copyright © 2014, 2011 Pearson Education, Inc. 15

Because the slopes in a simple regression average over excluded explanatory variables, we call them…

A. inverse slopes.

B. reciprocal slopes.

C. marginal slopes.

D. partial slopes.

Page 16: Copyright © 2014, 2011 Pearson Education, Inc. 1 Active Learning Lecture Slides For use with Classroom Response Systems Chapter 23 Multiple Regression

Copyright © 2014, 2011 Pearson Education, Inc. 16

Partial and marginal slopes only agree when the explanatory variables are uncorrelated.

A. True

B. False

Page 17: Copyright © 2014, 2011 Pearson Education, Inc. 1 Active Learning Lecture Slides For use with Classroom Response Systems Chapter 23 Multiple Regression

Copyright © 2014, 2011 Pearson Education, Inc. 17

Partial and marginal slopes only agree when the explanatory variables are uncorrelated.

A. True

B. False

Page 18: Copyright © 2014, 2011 Pearson Education, Inc. 1 Active Learning Lecture Slides For use with Classroom Response Systems Chapter 23 Multiple Regression

Copyright © 2014, 2011 Pearson Education, Inc. 18

A schematic drawing of the relationships among the explanatory variables and the response is called a…

A. tree diagram.

B. path diagram.

C. Venn diagram.

D. correlation diagram.

Page 19: Copyright © 2014, 2011 Pearson Education, Inc. 1 Active Learning Lecture Slides For use with Classroom Response Systems Chapter 23 Multiple Regression

Copyright © 2014, 2011 Pearson Education, Inc. 19

A schematic drawing of the relationships among the explanatory variables and the response is called a…

A. tree diagram.

B. path diagram.

C. Venn diagram.

D. correlation diagram.

Page 20: Copyright © 2014, 2011 Pearson Education, Inc. 1 Active Learning Lecture Slides For use with Classroom Response Systems Chapter 23 Multiple Regression

Copyright © 2014, 2011 Pearson Education, Inc. 20

Correlation among the explanatory variables in a multiple regression that makes the estimates uninterpretable is called…

A. multilinearity.

B. collinearity.

C. linearity.

D. nonlinearity.

Page 21: Copyright © 2014, 2011 Pearson Education, Inc. 1 Active Learning Lecture Slides For use with Classroom Response Systems Chapter 23 Multiple Regression

Copyright © 2014, 2011 Pearson Education, Inc. 21

Correlation among the explanatory variables in a multiple regression that makes the estimates uninterpretable is called…

A. multilinearity.

B. collinearity.

C. linearity.

D. nonlinearity.

Page 22: Copyright © 2014, 2011 Pearson Education, Inc. 1 Active Learning Lecture Slides For use with Classroom Response Systems Chapter 23 Multiple Regression

Copyright © 2014, 2011 Pearson Education, Inc. 22

The F-test uses the F-statistic to test the collective effect of all of the explanatory variables on the response.

A. True

B. False

Page 23: Copyright © 2014, 2011 Pearson Education, Inc. 1 Active Learning Lecture Slides For use with Classroom Response Systems Chapter 23 Multiple Regression

Copyright © 2014, 2011 Pearson Education, Inc. 23

The F-test uses the F-statistic to test the collective effect of all of the explanatory variables on the response.

A. True

B. False