A least squares regression was used to estimate the relationship between the dollar price P of 45 used 2001 Audi A4 2.8L sedans with manual transmission and the number of miles M the car had been driven: P = 16,958 – 0.0677M, R² = 0.70 (2,553) (0.0233) The standard errors are in parentheses. a. Does the value 16,958 seem reasonable? b. Does the value –0.0677 seem reasonable? c. Does the value 0.70 seem reasonable?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
icon
Related questions
Question
A least squares regression was used to estimate the relationship between the dollar
price P of 45 used 2001 Audi A4 2.8L sedans with manual transmission and the
number of miles M the car had been driven:
R = 0.70
P = 16,958 – 0.0677M,
(2,553) (0.0233)
The standard errors are in parentheses.
a. Does the value 16,958 seem reasonable?
b. Does the value –0.0677 seem reasonable?
c. Does the value 0.70 seem reasonable?
d. Is the estimated relationship between M and P statistically significant at the
5 percent level?
e. Should the
riables be reversed, wi
M on the left-hand side and P on the right-
hand side? Why or why not?
Transcribed Image Text:A least squares regression was used to estimate the relationship between the dollar price P of 45 used 2001 Audi A4 2.8L sedans with manual transmission and the number of miles M the car had been driven: R = 0.70 P = 16,958 – 0.0677M, (2,553) (0.0233) The standard errors are in parentheses. a. Does the value 16,958 seem reasonable? b. Does the value –0.0677 seem reasonable? c. Does the value 0.70 seem reasonable? d. Is the estimated relationship between M and P statistically significant at the 5 percent level? e. Should the riables be reversed, wi M on the left-hand side and P on the right- hand side? Why or why not?
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
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