The following multiple regression printout can be used to predict the price (Price) of a used car given how many miles it has on it (Mileage), the size of the engine (Liter), and whether it interior (Leather), where Leather = 1 for cars that have leather interior and 0 otherwise. Regression Analysis: Price Versus Mileage, Liter, Leather Coefficients Term Coef SE Coef T-Value P-Value Constant 6,953 512 13.58 0.000 Mileage -0.0841 0.0174 -4.83 0.000 Liter 3,794 122 31.10 0.000 Leather 1,029 311 3.31 0.001 Regression Equation Price - 6,953 - 0.0841 Mileage + 3,794 Liter + 1,029 Leather (a) Given this Minitab printout, is the response variable in this multiple regression equation a categorical or a numerical variable? numerical O categorical (b) Determine whether the following statement is true or false. Given this Minitab printout, the regression coefficient for miles on the car (Mileage) is statistically significant at a = 0.05. O True O False (c) Determine whether the following statement is true or false. Given this Minitab printout, the regression coefficient for engine size (Liters) is statistically significant at a = 0.05.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Question
100%
The following multiple regression printout can be used to predict the price (Price) of a used car given how many miles it has on it (Mileage), the size of the engine (Liter), and whether it has leather
interior (Leather), where Leather
= 1 for cars that have leather interior and 0 otherwise.
Regression Analysis: Price Versus Mileage, Liter, Leather
Coefficients
Term
Coef
SE Coef
T-Value
P-Value
Constant
6,953
512
13.58
0.000
Mileage
-0.0841
0.0174
-4.83
0.000
Liter
3,794
122
31.10
0.000
Leather
1,029
311
3.31
0.001
Regression Equation
Price =
6,953 - 0.0841 Mileage + 3,794 Liter + 1,029 Leather
(a) Given this Minitab printout, is the response variable in this multiple regression equation a categorical or a numerical variable?
numerical
categorical
(b) Determine whether the following statement is true or false.
Given this Minitab printout, the regression coefficient for miles on the car (Mileage) is statistically significant at a = 0.05.
True
False
(c) Determine whether the following statement is true or false.
Given this Minitab printout, the regression coefficient for engine size (Liters) is statistically significant at a = 0.05.
True
False
(d) Determine whether the following statement is true or false.
Given this Minitab printout, the regression coefficient for whether the car has a leather interior (Leather) is statistically significant at a = 0.05.
True
False
(e) How does having leather seats affect the expected price of the car, controlling for the mileage and size of the engine?
It is expected to increase the price of the used car by $
Transcribed Image Text:The following multiple regression printout can be used to predict the price (Price) of a used car given how many miles it has on it (Mileage), the size of the engine (Liter), and whether it has leather interior (Leather), where Leather = 1 for cars that have leather interior and 0 otherwise. Regression Analysis: Price Versus Mileage, Liter, Leather Coefficients Term Coef SE Coef T-Value P-Value Constant 6,953 512 13.58 0.000 Mileage -0.0841 0.0174 -4.83 0.000 Liter 3,794 122 31.10 0.000 Leather 1,029 311 3.31 0.001 Regression Equation Price = 6,953 - 0.0841 Mileage + 3,794 Liter + 1,029 Leather (a) Given this Minitab printout, is the response variable in this multiple regression equation a categorical or a numerical variable? numerical categorical (b) Determine whether the following statement is true or false. Given this Minitab printout, the regression coefficient for miles on the car (Mileage) is statistically significant at a = 0.05. True False (c) Determine whether the following statement is true or false. Given this Minitab printout, the regression coefficient for engine size (Liters) is statistically significant at a = 0.05. True False (d) Determine whether the following statement is true or false. Given this Minitab printout, the regression coefficient for whether the car has a leather interior (Leather) is statistically significant at a = 0.05. True False (e) How does having leather seats affect the expected price of the car, controlling for the mileage and size of the engine? It is expected to increase the price of the used car by $
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
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
  • SEE MORE QUESTIONS
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