We would like to estimate a relationship between the weight of a car (weight) and the miles-per-gallon rating (mpg).  lmpg  - the natural logarithm of mpg lweight - the natural logarithm of weight   Three models are estimated.    Estimate the MPG rating for a car that weight 2500 pounds using the log-log model.   1.  25.8818 2.  25.8084 3.  25.575

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.6: Exponential And Logarithmic Equations
Problem 79SE: Recall the formula for continually compoundinginterest, y=Aekt. Use the definition of a...
icon
Related questions
Question

We would like to estimate a relationship between the weight of a car (weight) and the miles-per-gallon rating (mpg). 

lmpg  - the natural logarithm of mpg

lweight - the natural logarithm of weight

 

Three models are estimated. 

 

Estimate the MPG rating for a car that weight 2500 pounds using the log-log model.

 

1.  25.8818
2.  25.8084
3.  25.575
Expert Solution
Step 1

Introduction:

From the output of the log-log model (first image), the constant or intercept for the regression is 13.69696, and the slope corresponding to lweight is –1.335148. Thus, the simple linear regression model of lmpg on lweight is:

lmpg = 13.69696 – 1.335148 lweight.

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Transcendental Expression
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning