Homework Help is Here – Start Your Trial Now!
Math
Statistics
12-7. A study was performed on wear of a bearing y and its relationship to x, = oil viscosity and x, = load. The follow- ing data were obtained. X2 y 293 1.6 851 230 15.5 816 172 22.0 1058 91 43.0 1201 113 33.0 1357 125 40.0 1115 (a) Fit a multiple linear regression model to these data. (b) Estimate o and the standard errors of the regression coefficients. (c) Use the model to predict wear when x = 25 and x2 = 1000. (d) Fit a multiple linear regression model with an interaction term to these data. (e) Estimate o and se(ß) for this new model. How did these quantities change. Does this tell you anything about the value of adding the interaction term to the model? (f) Use the model in (d) to predict when x, = 25 and x, = 1000. Compare this prediction with the predicted value from part (b) above.

12-7. A study was performed on wear of a bearing y and its relationship to x, = oil viscosity and x, = load. The follow- ing data were obtained. X2 y 293 1.6 851 230 15.5 816 172 22.0 1058 91 43.0 1201 113 33.0 1357 125 40.0 1115 (a) Fit a multiple linear regression model to these data. (b) Estimate o and the standard errors of the regression coefficients. (c) Use the model to predict wear when x = 25 and x2 = 1000. (d) Fit a multiple linear regression model with an interaction term to these data. (e) Estimate o and se(ß) for this new model. How did these quantities change. Does this tell you anything about the value of adding the interaction term to the model? (f) Use the model in (d) to predict when x, = 25 and x, = 1000. Compare this prediction with the predicted value from part (b) above.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question

Statistical Concepts, Theories and Analysis for Industrial Engineering 

12-7. A study was performed on wear of a bearing y and its relationship to x = oil viscosity and x, = load. The follow- ing data were obtained. y X1 X2 293 1.6 851 230 15.5 816 172 22.0 1058 91 43.0 1201 113 33.0 1357 125 40.0 1115 (a) Fit a multiple linear regression model to these data. (b) Estimate o? and the standard errors of the regression coefficients. (c) Use the model to predict wear whenx = 25 and x, = 1000. (d) Fit a multiple linear regression model with an interaction term to these data. (e) Estimate o and se(ß,) for this new model. How did these quantities change. Does this tell you anything about the value of adding the interaction term to the model? (f) Use the model in (d) to predict when x = 25 and x2 1000. Compare this prediction with the predicted value from part (b) above.
Transcribed Image Text:12-7. A study was performed on wear of a bearing y and its relationship to x = oil viscosity and x, = load. The follow- ing data were obtained. y X1 X2 293 1.6 851 230 15.5 816 172 22.0 1058 91 43.0 1201 113 33.0 1357 125 40.0 1115 (a) Fit a multiple linear regression model to these data. (b) Estimate o? and the standard errors of the regression coefficients. (c) Use the model to predict wear whenx = 25 and x, = 1000. (d) Fit a multiple linear regression model with an interaction term to these data. (e) Estimate o and se(ß,) for this new model. How did these quantities change. Does this tell you anything about the value of adding the interaction term to the model? (f) Use the model in (d) to predict when x = 25 and x2 1000. Compare this prediction with the predicted value from part (b) above.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS