Use the pizza cost and the subway fare in the table below to find the regression equation, letting pizza cost be the predictor (x) variable. (Pizza cost is in dollars per slice, subway fare and CPI are in dollars.) What is the best predicted subway fare when pizza costs $4.01 per slice? Year Pizza Cost Subway Fare CPI 1960 1973 1986 1995 2002 2003 2009 2013 2015 2019 0.152 0.354 0.996 1.246 1.754 1.999 2.247 2.299 2.752 3.003 0.148 0.352 0.999 1.350 1.502 1.998 2.247 2.547 2.747 2.748 29.6 44.4 109.6 152.4 180.0 184.0 214.5 233.0 237.0 252.2 The regression equation is ŷ = + (x. (Round the y-intercept to four decimal places as needed. Round the slope to three decimal places as needed.)

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### Regression Analysis: Predicting Subway Fare Based on Pizza Cost

#### Objective:
Determine the regression equation using the pizza cost and the subway fare from the table below. Here, the pizza cost is the predictor (x) variable. Both pizza cost (measured in dollars per slice) and subway fare (measured in dollars) are given. We aim to predict the subway fare when the pizza cost is $4.01 per slice.

#### Data Table:
| Year | Pizza Cost | Subway Fare | CPI   |
|------|------------|-------------|-------|
| 1960 | 0.152      | 0.148       | 29.6  |
| 1973 | 0.354      | 0.352       | 44.4  |
| 1986 | 0.996      | 0.999       | 109.6 |
| 1995 | 1.246      | 1.350       | 152.4 |
| 2002 | 1.754      | 1.502       | 180.0 |
| 2009 | 1.999      | 1.998       | 184.0 |
| 2013 | 2.247      | 2.247       | 214.5 |
| 2015 | 2.299      | 2.547       | 233.0 |
| 2019 | 3.003      | 2.748       | 252.2 |

#### Instructions:
1. **Find the regression equation**: Use the given data to calculate the regression equation, where `y` represents the subway fare, and `x` represents the pizza cost.
2. **Equation format**: The regression equation will be in the form:
   \[
   \hat{y} = \beta_0 + (\beta_1)(x)
   \]
   - Round the y-intercept (\(\beta_0\)) to four decimal places.
   - Round the slope (\(\beta_1\)) to three decimal places.
3. **Prediction**: Use the regression equation to predict the subway fare when the pizza cost is $4.01 per slice.

#### Solution Setup:
- **Regression Equation Calculation Placeholder**:
  \[
  \hat{y} = \square + (\square) x
  \]

#### Example: 
If after calculations the regression
Transcribed Image Text:--- ### Regression Analysis: Predicting Subway Fare Based on Pizza Cost #### Objective: Determine the regression equation using the pizza cost and the subway fare from the table below. Here, the pizza cost is the predictor (x) variable. Both pizza cost (measured in dollars per slice) and subway fare (measured in dollars) are given. We aim to predict the subway fare when the pizza cost is $4.01 per slice. #### Data Table: | Year | Pizza Cost | Subway Fare | CPI | |------|------------|-------------|-------| | 1960 | 0.152 | 0.148 | 29.6 | | 1973 | 0.354 | 0.352 | 44.4 | | 1986 | 0.996 | 0.999 | 109.6 | | 1995 | 1.246 | 1.350 | 152.4 | | 2002 | 1.754 | 1.502 | 180.0 | | 2009 | 1.999 | 1.998 | 184.0 | | 2013 | 2.247 | 2.247 | 214.5 | | 2015 | 2.299 | 2.547 | 233.0 | | 2019 | 3.003 | 2.748 | 252.2 | #### Instructions: 1. **Find the regression equation**: Use the given data to calculate the regression equation, where `y` represents the subway fare, and `x` represents the pizza cost. 2. **Equation format**: The regression equation will be in the form: \[ \hat{y} = \beta_0 + (\beta_1)(x) \] - Round the y-intercept (\(\beta_0\)) to four decimal places. - Round the slope (\(\beta_1\)) to three decimal places. 3. **Prediction**: Use the regression equation to predict the subway fare when the pizza cost is $4.01 per slice. #### Solution Setup: - **Regression Equation Calculation Placeholder**: \[ \hat{y} = \square + (\square) x \] #### Example: If after calculations the regression
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