Homework Help is Here – Start Your Trial Now!
Business
Operations Management
A sample of twenty automobiles was taken, and the miles per gallon (MPG), horsepower, and total weight were recorded. Develop a linear regression model to predict MPG using horsepower as the only indepen- dent variable. Develop another model with weight as the independent variable. Which of these two models is better? Explain. MPG 44 44 40 37 37 34 35 32 30 28 26 26 25 22 20 21 18 18 16 16 HORSEPOWER 67 50 62 69 66 63 90 99 63 91 94 88 124 97 114 102 114 142 153 139 WEIGHT 1,844 1,998 1,752 1,980 1,797 2,199 2,404 2,611 3,236 2,606 2,580 2,507 2,922 2,434 3,248 2,812 3,382 3,197 4,380 4,036

A sample of twenty automobiles was taken, and the miles per gallon (MPG), horsepower, and total weight were recorded. Develop a linear regression model to predict MPG using horsepower as the only indepen- dent variable. Develop another model with weight as the independent variable. Which of these two models is better? Explain. MPG 44 44 40 37 37 34 35 32 30 28 26 26 25 22 20 21 18 18 16 16 HORSEPOWER 67 50 62 69 66 63 90 99 63 91 94 88 124 97 114 102 114 142 153 139 WEIGHT 1,844 1,998 1,752 1,980 1,797 2,199 2,404 2,611 3,236 2,606 2,580 2,507 2,922 2,434 3,248 2,812 3,382 3,197 4,380 4,036

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
See similar textbooks
icon
Related questions
Question
**Study of Automobile Performance: Linear Regression Analysis** In a study involving twenty automobiles, data was collected on the following variables: miles per gallon (MPG), horsepower, and total weight. The objective is to develop linear regression models to predict MPG using two different independent variables: horsepower and weight. This presentation compares the effectiveness of these models. **Data Collected**: | MPG | Horsepower | Weight (lbs) | |-----|------------|--------------| | 44 | 67 | 1,844 | | 44 | 50 | 1,998 | | 40 | 62 | 1,752 | | 37 | 69 | 1,980 | | 37 | 66 | 1,797 | | 34 | 63 | 2,199 | | 35 | 90 | 2,404 | | 32 | 99 | 2,611 | | 30 | 63 | 3,236 | | 28 | 91 | 2,606 | | 26 | 94 | 2,580 | | 26 | 88 | 2,507 | | 25 | 124 | 2,922 | | 22 | 97 | 2,434 | | 20 | 114 | 3,348 | | 21 | 102 | 2,812 | | 18 | 114 | 3,382 | | 18 | 142 | 3,197 | | 16 | 153 | 4,380 | | 16 | 139 | 4,036 | **Objective**: - Develop a linear regression model with horsepower as the independent variable to predict MPG. - Develop another model with weight as the independent variable to predict MPG. - Compare the two models to determine which one more effectively predicts MPG and provide an explanation. **Analysis Considerations**: The effectiveness of a regression model can be assessed through statistical measures such as the coefficient of determination (R²), p-values, and residual analysis. Factors influencing the choice of model might include the strength of the linear relationship, variance explained, simplicity,
Transcribed Image Text:**Study of Automobile Performance: Linear Regression Analysis** In a study involving twenty automobiles, data was collected on the following variables: miles per gallon (MPG), horsepower, and total weight. The objective is to develop linear regression models to predict MPG using two different independent variables: horsepower and weight. This presentation compares the effectiveness of these models. **Data Collected**: | MPG | Horsepower | Weight (lbs) | |-----|------------|--------------| | 44 | 67 | 1,844 | | 44 | 50 | 1,998 | | 40 | 62 | 1,752 | | 37 | 69 | 1,980 | | 37 | 66 | 1,797 | | 34 | 63 | 2,199 | | 35 | 90 | 2,404 | | 32 | 99 | 2,611 | | 30 | 63 | 3,236 | | 28 | 91 | 2,606 | | 26 | 94 | 2,580 | | 26 | 88 | 2,507 | | 25 | 124 | 2,922 | | 22 | 97 | 2,434 | | 20 | 114 | 3,348 | | 21 | 102 | 2,812 | | 18 | 114 | 3,382 | | 18 | 142 | 3,197 | | 16 | 153 | 4,380 | | 16 | 139 | 4,036 | **Objective**: - Develop a linear regression model with horsepower as the independent variable to predict MPG. - Develop another model with weight as the independent variable to predict MPG. - Compare the two models to determine which one more effectively predicts MPG and provide an explanation. **Analysis Considerations**: The effectiveness of a regression model can be assessed through statistical measures such as the coefficient of determination (R²), p-values, and residual analysis. Factors influencing the choice of model might include the strength of the linear relationship, variance explained, simplicity,
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 6 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Business in Action
Business in Action
Operations Management
ISBN:
9780135198100
Author:
BOVEE
Publisher:
PEARSON CO
Purchasing and Supply Chain Management
Purchasing and Supply Chain Management
Operations Management
ISBN:
9781285869681
Author:
Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:
Cengage Learning
Production and Operations Analysis, Seventh Editi…
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.
SEE MORE TEXTBOOKS