MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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![The exercise involves using given data to find the equation of a regression line. Additionally, it asks to examine a scatterplot and identify a characteristic of the data that is ignored by the regression line.
### Data Table
- **x values**: 9, 11, 7, 8, 3, 6, 12, 13, 4, 5, 10
- **y values**: 11.75, 12.24, 10.15, 11.10, 3.61, 8.94, 12.06, 11.61, 5.66, 7.44, 12.14
### Regression Line Equation
The regression line is expressed as:
\[\hat{y} = \text{[ ]} + \text{[ ]}x\]
(Round to two decimal places as needed.)
### Scatterplot Options
Four graphs labeled A, B, C, and D are shown, displaying different scatterplots.
- **Graph A**: Displays a linear trend of data points.
- **Graph B**: Shows scattered data points without a clear linear pattern.
- **Graph C**: Displays a curved pattern, suggesting a non-linear trend.
- **Graph D**: Shows an upward curving pattern.
### Question
Identify a characteristic of the data that is ignored by the regression line.
- **Option A**: There is no trend in the data.
- **Option B**: The data has a pattern that is not a straight line.
- **Option C**: There is an influential point that strongly affects the graph of the regression line.
- **Option D**: There is no characteristic of the data that is ignored by the regression line.
**Instruction**: Click to select your answer(s).](https://content.bartleby.com/qna-images/question/b5ef521d-8a36-4d1a-af76-ae2c64dc1fd0/13738d99-c081-47f5-b96e-f20b88c19341/lmwn1z_processed.jpeg)
Transcribed Image Text:The exercise involves using given data to find the equation of a regression line. Additionally, it asks to examine a scatterplot and identify a characteristic of the data that is ignored by the regression line.
### Data Table
- **x values**: 9, 11, 7, 8, 3, 6, 12, 13, 4, 5, 10
- **y values**: 11.75, 12.24, 10.15, 11.10, 3.61, 8.94, 12.06, 11.61, 5.66, 7.44, 12.14
### Regression Line Equation
The regression line is expressed as:
\[\hat{y} = \text{[ ]} + \text{[ ]}x\]
(Round to two decimal places as needed.)
### Scatterplot Options
Four graphs labeled A, B, C, and D are shown, displaying different scatterplots.
- **Graph A**: Displays a linear trend of data points.
- **Graph B**: Shows scattered data points without a clear linear pattern.
- **Graph C**: Displays a curved pattern, suggesting a non-linear trend.
- **Graph D**: Shows an upward curving pattern.
### Question
Identify a characteristic of the data that is ignored by the regression line.
- **Option A**: There is no trend in the data.
- **Option B**: The data has a pattern that is not a straight line.
- **Option C**: There is an influential point that strongly affects the graph of the regression line.
- **Option D**: There is no characteristic of the data that is ignored by the regression line.
**Instruction**: Click to select your answer(s).
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