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. x 11 8 12 y 7.14 6.6 12.92 6 5 D 6.4 5.62 Create a scatterplot of the data. Choose the correct graph below. O A. Ay 5 4 8 12 13 6.8 7.52 8.57 5.93 5.17 25- 20- 15. OB. Ay 25 20 15t 12 8.17 C... O C. 25- 20- 15 Q O D. 25- 20- 15

MATLAB: An Introduction with Applications
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**Educational Website Text:**

**Analyzing Regression with a Scatterplot**

**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:**

| \( x \) | 11 | 8 | 12 | 8 | 12 | 13 | 5 | 4 | 12 | 6 | 5 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| \( y \) | 7.14 | 6.6 | 12.92 | 6.8 | 7.52 | 8.57 | 5.93 | 5.17 | 8.17 | 6.4 | 5.62 |

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

**Scatterplot Options:**

- **Graph A:** 
  - Points appear clustered in the lower left, showing little variation along the x-axis from 0 to 15 and y-values mostly below 10.

- **Graph B:** 
  - Points are scattered around, indicating a possible slight increasing trend but lack a clear pattern.

- **Graph C:** 
  - Points exhibit a more dispersed arrangement, possibly suggesting multiple trends.

- **Graph D:** 
  - Points form a clear linear trend with an upward slope, consistently rising as x increases.

**Analysis:**
These visual representations help in identifying the correct scatterplot that reflects the data accurately. After plotting, examine for any patterns or anomalies that the regression line might not address, such as clusters or outliers.
Transcribed Image Text:**Educational Website Text:** **Analyzing Regression with a Scatterplot** **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:** | \( x \) | 11 | 8 | 12 | 8 | 12 | 13 | 5 | 4 | 12 | 6 | 5 | |---|---|---|---|---|---|---|---|---|---|---|---| | \( y \) | 7.14 | 6.6 | 12.92 | 6.8 | 7.52 | 8.57 | 5.93 | 5.17 | 8.17 | 6.4 | 5.62 | **Task:** Create a scatterplot of the data. Choose the correct graph below. **Scatterplot Options:** - **Graph A:** - Points appear clustered in the lower left, showing little variation along the x-axis from 0 to 15 and y-values mostly below 10. - **Graph B:** - Points are scattered around, indicating a possible slight increasing trend but lack a clear pattern. - **Graph C:** - Points exhibit a more dispersed arrangement, possibly suggesting multiple trends. - **Graph D:** - Points form a clear linear trend with an upward slope, consistently rising as x increases. **Analysis:** These visual representations help in identifying the correct scatterplot that reflects the data accurately. After plotting, examine for any patterns or anomalies that the regression line might not address, such as clusters or outliers.
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