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.)

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### 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.)
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