The accompanying table shows results from regressions performed on data from a random sample of 21 cars. The response (y) variable is CITY (fuel consumption in mi/gal). The predictor (x) variables are WT (weight in pounds), DISP (engine displacement in liters), and HWY (highway fuel consumption in mi/gal). If only one predictor (x) variable is used predict the city fuel consumption, which single variable is best? Why? E Click the icon to view the table regression equations. The best variable is because it has the best combination of P-value,. and V adjusted R2, N (Type integers or decimals. Do not round.)

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
### Regression Analysis Table

The table below summarizes the results of a regression analysis performed to understand the relationship between various predictor variables and a dependent variable, likely related to city mileage (CITY).

#### Table: Regression Analysis Summary

| Predictor (x) Variables | P-Value | R²   | Adjusted R² | Regression Equation                          |
|-------------------------|---------|------|-------------|----------------------------------------------|
| WT/DISP/HWY             | 0.000   | 0.943| 0.933       | CITY = 6.89 - 0.00127WT - 0.255DISP + 0.654HWY |
| WT/DISP                 | 0.000   | 0.747| 0.719       | CITY = 37.7 - 0.00163WT - 1.25DISP           |
| WT/HWY                  | 0.000   | 0.943| 0.937       | CITY = 6.66 - 0.00163WT + 0.665HWY           |
| DISP/HWY                | 0.000   | 0.934| 0.927       | CITY = 1.86 - 0.629DISP + 0.703HWY           |
| WT                      | 0.000   | 0.711| 0.696       | CITY = 42.1 - 0.00602WT                      |
| DISP                    | 0.000   | 0.658| 0.640       | CITY = 28.9 - 2.98DISP                       |
| HWY                     | 0.000   | 0.924| 0.920       | CITY = - 3.16 + 0.821HWY                     |

#### Key Metrics:

- **Predictor (x) Variables**: These are the independent variables in the regression model.
- **P-Value**: This indicates the significance of the predictors in the model. A P-Value of 0.000 suggests that the predictors are highly significant.
- **R² (R-squared)**: This is a statistical measure of how close the data are to the fitted regression line. It is also known as the coefficient of determination.
- **Adjusted R²**: This is the R-squared adjusted for the number of predictors in the model. It adjusts
Transcribed Image Text:### Regression Analysis Table The table below summarizes the results of a regression analysis performed to understand the relationship between various predictor variables and a dependent variable, likely related to city mileage (CITY). #### Table: Regression Analysis Summary | Predictor (x) Variables | P-Value | R² | Adjusted R² | Regression Equation | |-------------------------|---------|------|-------------|----------------------------------------------| | WT/DISP/HWY | 0.000 | 0.943| 0.933 | CITY = 6.89 - 0.00127WT - 0.255DISP + 0.654HWY | | WT/DISP | 0.000 | 0.747| 0.719 | CITY = 37.7 - 0.00163WT - 1.25DISP | | WT/HWY | 0.000 | 0.943| 0.937 | CITY = 6.66 - 0.00163WT + 0.665HWY | | DISP/HWY | 0.000 | 0.934| 0.927 | CITY = 1.86 - 0.629DISP + 0.703HWY | | WT | 0.000 | 0.711| 0.696 | CITY = 42.1 - 0.00602WT | | DISP | 0.000 | 0.658| 0.640 | CITY = 28.9 - 2.98DISP | | HWY | 0.000 | 0.924| 0.920 | CITY = - 3.16 + 0.821HWY | #### Key Metrics: - **Predictor (x) Variables**: These are the independent variables in the regression model. - **P-Value**: This indicates the significance of the predictors in the model. A P-Value of 0.000 suggests that the predictors are highly significant. - **R² (R-squared)**: This is a statistical measure of how close the data are to the fitted regression line. It is also known as the coefficient of determination. - **Adjusted R²**: This is the R-squared adjusted for the number of predictors in the model. It adjusts
### 10.4.9

The accompanying table shows results from regressions performed on data from a random sample of 21 cars. The response (y) variable is CITY (fuel consumption in mi/gal). The predictor (x) variables are WT (weight in pounds), DISP (engine displacement in liters), and HWY (highway fuel consumption in mi/gal). If only one predictor (x) variable is used to predict the city fuel consumption, which single variable is best? Why?

[Table Icon] Click the icon to view the table of regression equations.

The best variable is [Dropdown Menu] because it has the best combination of [Dropdown Menu] P-value, [Blank Field], and [Dropdown Menu] adjusted R², [Blank Field].

(Type integers or decimals. Do not round.)
Transcribed Image Text:### 10.4.9 The accompanying table shows results from regressions performed on data from a random sample of 21 cars. The response (y) variable is CITY (fuel consumption in mi/gal). The predictor (x) variables are WT (weight in pounds), DISP (engine displacement in liters), and HWY (highway fuel consumption in mi/gal). If only one predictor (x) variable is used to predict the city fuel consumption, which single variable is best? Why? [Table Icon] Click the icon to view the table of regression equations. The best variable is [Dropdown Menu] because it has the best combination of [Dropdown Menu] P-value, [Blank Field], and [Dropdown Menu] adjusted R², [Blank Field]. (Type integers or decimals. Do not round.)
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
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