Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line. 4 5 X 11 y 7.39 9 13 6.52 12.69 9 7.28 10 7.68 14 6 6.29 8.88 12 7 7.94 6.25 5.4 5.99 Create a scatterplot of the data. Choose the correct graph below. D. C. OB. OA. C 25- 25+ 25+ 20 20-5 20 15-3 15- 153 10 10-5 10- 5- 55 5 05 0- 0- 0 5 10 15 20 25 0 5 10 15 20 25 0 5 10.15 20 25 Find the equation of the regression line. (Round the y-intercept two decimal places as needed. Round the slope to three decimal places as needed.) Identify a characteristic of the data that is ignored by the regression line. OA. There is no characteristic of the data that is ignored by the regression line. OB. There is no trend in the data. OC. The data has a pattern that is not a straight line. D. There is an influential point that strongly affects the graph of the regression line. Ay Ау Ау 25+ 20- 15 10- 5- 0 5 10 15 20 25 D

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### Equation of the Regression Line

Given the table below, use the data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line.

| x  | 11  | 9   | 13  | 9   | 10  | 14  | 6   | 4   | 12  | 7   | 5   |
|----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|
| y  | 7.39 | 6.52 | 12.69 | 7.28 | 7.68 | 8.88 | 6.29 | 5.4  | 7.94  | 6.25 | 5.99 |

**Step 1: Create a Scatterplot of the Data**

Choose the correct graph below to represent the scatterplot of the data:

#### Graph Choices:

**A.**
![Graph A](#)

**B.**
![Graph B](#)

**C.**
![Graph C](#)

**D.**
![Graph D](#)

**Step 2: Find the Equation of the Regression Line**

\[ \hat{y} = \boxed{?} + \boxed{?}x \]

(Round the y-intercept to two decimal places as needed. Round the slope to three decimal places as needed.)

**Step 3: Identify the Characteristic of the Data Ignored by the Regression Line**

Select one option:

- **A.** There is no characteristic of the data that is ignored by the regression line.
- **B.** There is no trend in the data.
- **C.** The data has a pattern that is not a straight line.
- **D.** There is an influential point that strongly affects the graph of the regression line.

**Scatterplot Diagrams Explanation:**

- **Graph A** has data points scattered in a way that suggests a potential linear relationship but looks sparse.
  
- **Graph B** shows data points that seem randomly distributed with no apparent trend.
  
- **Graph C** depicts a pattern that suggests a non-linear relationship among data points.
  
- **Graph D** indicates a data pattern where there could be an influential point significantly affecting the overall trend of the data.

Use these steps and options to solve for the
Transcribed Image Text:### Equation of the Regression Line Given the table below, use the data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line. | x | 11 | 9 | 13 | 9 | 10 | 14 | 6 | 4 | 12 | 7 | 5 | |----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----| | y | 7.39 | 6.52 | 12.69 | 7.28 | 7.68 | 8.88 | 6.29 | 5.4 | 7.94 | 6.25 | 5.99 | **Step 1: Create a Scatterplot of the Data** Choose the correct graph below to represent the scatterplot of the data: #### Graph Choices: **A.** ![Graph A](#) **B.** ![Graph B](#) **C.** ![Graph C](#) **D.** ![Graph D](#) **Step 2: Find the Equation of the Regression Line** \[ \hat{y} = \boxed{?} + \boxed{?}x \] (Round the y-intercept to two decimal places as needed. Round the slope to three decimal places as needed.) **Step 3: Identify the Characteristic of the Data Ignored by the Regression Line** Select one option: - **A.** There is no characteristic of the data that is ignored by the regression line. - **B.** There is no trend in the data. - **C.** The data has a pattern that is not a straight line. - **D.** There is an influential point that strongly affects the graph of the regression line. **Scatterplot Diagrams Explanation:** - **Graph A** has data points scattered in a way that suggests a potential linear relationship but looks sparse. - **Graph B** shows data points that seem randomly distributed with no apparent trend. - **Graph C** depicts a pattern that suggests a non-linear relationship among data points. - **Graph D** indicates a data pattern where there could be an influential point significantly affecting the overall trend of the data. Use these steps and options to solve for the
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