A study was recently performed by an agency in which it attempted to develop a regression model to explain variation in highway mileage ratings of new cars. At one stage of the analysis, the estimate of the model took the form below, 1, if standard transmission the vehicle weight and x2 = Complete parts a through e. 0, if automatic transmission y = 34.33 -0.003x, +4.46x2 a. Interpret the regression coefficient for variable x,. Choose the correct answer below. A. Holding constant the effects of x2, as the vehicle weight increases by 1 pound, the average highway mileage rating decreases by 0.003. O B. The regression coefficient associated with variable x, is the y-intercept. OC. Holding constant the effects of x,, as the vehicle weight decreases by 1 pound, the average highway mileage rating increases by 4.46. O D. Holding constant the effects of x2, as the vehicle weight increases by 1 pound, the average highway mileage rating decreases by 4.46. b. Interpret the regression coefficient for variable x2. Choose the correct answer below. A. Holding constant the effects of x,, a car with a standard transmission has an average highway mileage rating that is 4.46 higher than a car with an automatic transmission. O B. Holding constant the effects of x,, a car with a standard transmission has an average highway mileage rating that is 4.46 lower than a car with an automatic transmission. OC. The regression coefficient associated with variable x, is the y-intercept. O D. Holding constant the effect of x2 a car with an automatic transmission has an average highway mileage rating that is 0.003 lower than a car with a standard transmission. c. Present an estimate of a model that would predict the average highway mileage rating for an automobile with a standard transmission as a function of the vehicle's weight. (Simplify your answers. Type integers or decimals.)
A study was recently performed by an agency in which it attempted to develop a regression model to explain variation in highway mileage ratings of new cars. At one stage of the analysis, the estimate of the model took the form below, 1, if standard transmission the vehicle weight and x2 = Complete parts a through e. 0, if automatic transmission y = 34.33 -0.003x, +4.46x2 a. Interpret the regression coefficient for variable x,. Choose the correct answer below. A. Holding constant the effects of x2, as the vehicle weight increases by 1 pound, the average highway mileage rating decreases by 0.003. O B. The regression coefficient associated with variable x, is the y-intercept. OC. Holding constant the effects of x,, as the vehicle weight decreases by 1 pound, the average highway mileage rating increases by 4.46. O D. Holding constant the effects of x2, as the vehicle weight increases by 1 pound, the average highway mileage rating decreases by 4.46. b. Interpret the regression coefficient for variable x2. Choose the correct answer below. A. Holding constant the effects of x,, a car with a standard transmission has an average highway mileage rating that is 4.46 higher than a car with an automatic transmission. O B. Holding constant the effects of x,, a car with a standard transmission has an average highway mileage rating that is 4.46 lower than a car with an automatic transmission. OC. The regression coefficient associated with variable x, is the y-intercept. O D. Holding constant the effect of x2 a car with an automatic transmission has an average highway mileage rating that is 0.003 lower than a car with a standard transmission. c. Present an estimate of a model that would predict the average highway mileage rating for an automobile with a standard transmission as a function of the vehicle's weight. (Simplify your answers. Type integers or decimals.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Concept explainers
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Question
Transcribed Image Text:*15.2.17
Tutoring
Question Help ▼
A study was recently performed by an agency in which it attempted to develop a regression model to explain variation in highway mileage ratings of new cars. At one stage of the analysis, the estimate of the model took the form below, where x, represents
1, if standard transmission
the vehicle weight and x, = .
Complete parts a through e.
0, if automatic transmission
y = 34.33 - 0.003x, + 4.46x2
a. Interpret the regression coefficient for variable x,. Choose the correct answer below.
A. Holding constant the effects of x,, as the vehicle weight increases by 1 pound, the average highway mileage rating decreases by 0.003.
B. The regression coefficient associated with variable x, is the y-intercept.
OC. Holding constant the effects of x,, as the vehicle weight decreases by 1 pound, the average highway mileage rating increases by 4.46.
O D. Holding constant the effects of x,, as the vehicle weight increases by 1 pound, the average highway mileage rating decreases by 4.46.
b. Interpret the regression coefficient for variable x,. Choose the correct answer below.
A. Holding constant the effects of x,, a car with a standard transmission has an average highway mileage rating that is 4.46 higher than a car with an automatic transmission.
O B. Holding constant the effects of x,, a car with a standard transmission has an average highway mileage rating that is 4.46 lower than a car with an automatic transmission.
O C. The regression coefficient associated with variable x, is the y-intercept.
D. Holding constant the effect of x, ,a car with an automatic transmission has an average highway mileage rating that is 0.003 lower than a car with a standard transmission.
c. Present an estimate of a model that would predict the average highway mileage rating for an automobile with a standard transmission as a function of the vehicle's weight.
ŷ =+ O
(Simplify your answers. Type integers or decimals.)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Knowledge Booster
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.Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman