х 11 y 7.34 7 11 8 10 14 4 12 7 6.91 13.34 7.14 7.62 9.22 5.94 5.46 7.9 6.24 5.85 Create a scatterplot of the data. Choose the correct graph below. O A. B. OC. O D. Ay 25- Ay 25- Ay 251 Ay 25- 20 20- 20 20 Q 155 15 155 15 10 10 10 10 5- 5- 55 5- 0- 0- 5 10 15 20 25 Ó 5 10 15 20 25 5 10 15 20 25 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. O A. There is no trend in the data. O B. There is no characteristic of the data that is ignored by the regression line. OC. There is an influential point that strongly affects the graph of the regression line. O D. The data has a pattern that is not a straight line.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question

9

### Regression Analysis Exercise

**Objective:** 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.

**Data Table:**

| \( x \) | 11 | 7 | 11 | 8 | 10 | 14 | 5 | 4 | 12 | 7 | 5 |
|---------|----|---|----|---|----|----|---|---|----|---|---|
| \( y \) | 7.34 | 6.91 | 13.34 | 7.14 | 7.62 | 9.22 | 5.94 | 5.46 | 7.9 | 6.24 | 5.85 |

**Task 1:** Create a scatterplot of the data. Choose the correct graph below.

- **Option A:** Scatterpoints evenly spread across x-axis (0 to 25) with no clear trend.
- **Option B:** Similar to A, slightly more vertical spread.
- **Option C:** Points increase diagonally from bottom left to top right, indicating a positive trend.
- **Option D:** Steep increase and concentrated pattern on the lower x-values.

**Task 2:** Find the equation of the regression line.
\[ \hat{y} = \_\_\_\_ + \_\_\_\_x \]
*(Round the y-intercept to two decimal places and the slope to three decimal places.)*

**Task 3:** Identify a characteristic of the data that is ignored by the regression line.

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

Choose the correct responses based on the given data and plots.
Transcribed Image Text:### Regression Analysis Exercise **Objective:** 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. **Data Table:** | \( x \) | 11 | 7 | 11 | 8 | 10 | 14 | 5 | 4 | 12 | 7 | 5 | |---------|----|---|----|---|----|----|---|---|----|---|---| | \( y \) | 7.34 | 6.91 | 13.34 | 7.14 | 7.62 | 9.22 | 5.94 | 5.46 | 7.9 | 6.24 | 5.85 | **Task 1:** Create a scatterplot of the data. Choose the correct graph below. - **Option A:** Scatterpoints evenly spread across x-axis (0 to 25) with no clear trend. - **Option B:** Similar to A, slightly more vertical spread. - **Option C:** Points increase diagonally from bottom left to top right, indicating a positive trend. - **Option D:** Steep increase and concentrated pattern on the lower x-values. **Task 2:** Find the equation of the regression line. \[ \hat{y} = \_\_\_\_ + \_\_\_\_x \] *(Round the y-intercept to two decimal places and the slope to three decimal places.)* **Task 3:** Identify a characteristic of the data that is ignored by the regression line. - **A:** There is no trend in the data. - **B:** There is no characteristic of the data that is ignored by the regression line. - **C:** There is an influential point that strongly affects the graph of the regression line. - **D:** The data has a pattern that is not a straight line. Choose the correct responses based on the given data and plots.
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