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
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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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**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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Find the equation of the regression line. y= ? + ? x
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