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Introduction to Linear Regression Analysis

Douglas C. Montgomery, Elizabeth A. Peck, G. Geoffrey Vining

Chapter 6

Diagnostics for Leverage and Influence - all with Video Answers

Educators


Chapter Questions

01:36

Problem 1

Perform a thorough influence analysis of the solar thermal energy test data given in Table B.2. Discuss your results.

Naman Kumar
Naman Kumar
Numerade Educator
01:57

Problem 2

Perform a thorough influence analysis of the property valuation data given in Table B.4. Discuss your results.

Ajay Singhal
Ajay Singhal
Numerade Educator
01:02

Problem 3

Perform a thorough influence analysis of the Belle Ayr liquefaction runs given in Table B.5. Discuss your results.

Christopher Stanley
Christopher Stanley
Numerade Educator
01:56

Problem 4

Perform a thorough influence analysis of the tube-flow reactor data given in Table B.6. Discuss your results.

Chai Santi
Chai Santi
Numerade Educator
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Problem 5

Perform a thorough influence analysis of the NFL team performance data given in Table B.1. Discuss your results.

Jason Gerber
Jason Gerber
Numerade Educator
03:00

Problem 6

Perform a thorough influence analysis of the oil extraction data given in Table B.7. Discuss your results.

Leonardo Filgueiras
Leonardo Filgueiras
Numerade Educator
02:22

Problem 7

Perform a thorough influence analysis of the clathrate formation data given in Table B.8. Perform any appropriate transformations. Discuss your results

Cory Kuzinski
Cory Kuzinski
Numerade Educator
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Problem 8

Perform a thorough influence analysis of the pressure drop data given in Table B.9. Perform any appropriate transformations. Discuss your results.

Rashmi Sinha
Rashmi Sinha
Numerade Educator
03:43

Problem 9

Perform a thorough influence analysis of the kinematic viscosity data given in Table B.10. Perform any appropriate transformations. Discuss 'your results.

Ajay Singhal
Ajay Singhal
Numerade Educator
03:27

Problem 10

Formaily show that
$$D_{i}=\frac{r_{i}}{p} \frac{h_{i l}}{1-h_{i l}}$$

Jacquelyn Trost
Jacquelyn Trost
Numerade Educator
06:35

Problem 11

Formally show that
$$\operatorname{COVRATIO}_{i}=\left[\frac{S_{(i)}^{2}}{M S_{\mathrm{Re}}}\right]\left(\frac{1}{1-h_{i i}}\right)$$

Vishal Gupta
Vishal Gupta
Numerade Educator
03:15

Problem 12

Table $B .11$ contains data on the quality of Pinot Noir wine. Fit a regression model using clarity, aroma, body, flavor, and oakiness as the regressors. Investigate this model for influcntial observations and comment on your findings.

James Kiss
James Kiss
Numerade Educator
01:24

Problem 13

Table B.12 contains data collected on heat treating of gears, Fit a regression model to these data using all of the regressors. Investigate this model for influential observations and comment on your findings.

Khoobchandra Agrawal
Khoobchandra Agrawal
Numerade Educator
04:12

Problem 14

Table $B .13$ contains data on the thrust of a jet turbine engine. Fit a regression model to these data using all of the regressors. Investigate this model for influential observations and comment on your findings.

Khoobchandra Agrawal
Khoobchandra Agrawal
Numerade Educator
01:47

Problem 15

Table $\mathbf{B} .14$ contains data concerning the transient points of an electronic inverter. Fit a regression model to all 25 observations but only use $x_{1}-x_{2}$ as the regressors. Investigate this model for influential observations and comment on your findings.

Carson Merrill
Carson Merrill
Numerade Educator
07:20

Problem 16

Perform a thorough influential analysis of the air pollution and mortality data given in Table B.15. Perform any appropriate transformations. Discuss your results.

Sana Riaz
Sana Riaz
Numerade Educator
00:56

Problem 17

For each model perform a thorough influence analysis of the life expectancy data given in Table B.16. Perform any appropriate transformations. Discuss your results.

Cory Kuzinski
Cory Kuzinski
Numerade Educator