1. You are interested in buying a new Jeep Cherokee. The following data are based on information taken from Consumer Guide (Vol. 608, no. 6). Let x be the list price (in thousands of dollars) for a random selection of Jeep Cherokee vehicles of different models and options. Let y be the dealer invoice (in thousands of dollars) for the given vehicle. 15.3 16.4 19.5 21.9 18.8 23.4 Y 14.9 15.8 17.0 18.1 17.1 19.8 Use your calculator. Find the linear regression equation (a is rounded to tenth place and b is rounded to ten-thousandth place). Find the correlation coefficient rounded to ten- thousandth place. Find the coefficient of determination rounded to tenth percent.

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**Educational Analysis of Jeep Cherokee Pricing Data**

**Objective:**
Explore the relationship between the list price and dealer invoice of Jeep Cherokee vehicles using linear regression. 

**Data Source:**
The data are based on information from *Consumer Guide* (Vol. 608, no. 6).

**Variables:**
- **X:** List price in thousands of dollars.
- **Y:** Dealer invoice in thousands of dollars.

**Data Table:**

\[
\begin{array}{|c|c|c|c|c|c|c|c|}
\hline
X & 15.3 & 16.4 & 19.5 & 21.9 & 18.8 & 23.4 \\
\hline
Y & 14.9 & 15.8 & 17.0 & 18.1 & 17.1 & 19.8 \\
\hline
\end{array}
\]

**Instructions:**
1. **Calculate the Linear Regression Equation**  
   - Round coefficient \( a \) to the tenth place.
   - Round coefficient \( b \) to the ten-thousandth place.

2. **Determine the correlation coefficient**  
   - Round to the ten-thousandth place.

3. **Calculate the Coefficient of Determination**  
   - Round to the tenth percent.

**Results:**

- **Equation:** [To be filled]
- **Correlation Coefficient:** [To be filled]
- **Coefficient of Determination:** [To be filled]

This exercise aims to give students practical experience with statistical analysis using regression equations to predict values and interpret real-world data.
Transcribed Image Text:**Educational Analysis of Jeep Cherokee Pricing Data** **Objective:** Explore the relationship between the list price and dealer invoice of Jeep Cherokee vehicles using linear regression. **Data Source:** The data are based on information from *Consumer Guide* (Vol. 608, no. 6). **Variables:** - **X:** List price in thousands of dollars. - **Y:** Dealer invoice in thousands of dollars. **Data Table:** \[ \begin{array}{|c|c|c|c|c|c|c|c|} \hline X & 15.3 & 16.4 & 19.5 & 21.9 & 18.8 & 23.4 \\ \hline Y & 14.9 & 15.8 & 17.0 & 18.1 & 17.1 & 19.8 \\ \hline \end{array} \] **Instructions:** 1. **Calculate the Linear Regression Equation** - Round coefficient \( a \) to the tenth place. - Round coefficient \( b \) to the ten-thousandth place. 2. **Determine the correlation coefficient** - Round to the ten-thousandth place. 3. **Calculate the Coefficient of Determination** - Round to the tenth percent. **Results:** - **Equation:** [To be filled] - **Correlation Coefficient:** [To be filled] - **Coefficient of Determination:** [To be filled] This exercise aims to give students practical experience with statistical analysis using regression equations to predict values and interpret real-world data.
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