1. Which data set has an apparent negative, but not perfect, linear relationship between its two variables? 2. For which data set does the correlation coefficient appear to be equal to 1? 3. Which data set indicates the strongest linear relationship between its two variables? Choose one Choose one Choose one V

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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### Scatter Plot Analysis

Shown below are the scatter plots for four different data sets.

**Answer the questions that follow. The same response may be the correct answer for more than one question.**

#### Scatter Plots

**Figure 1**
- Both axes range from 0 to 11.
- The plot shows a downward trend, indicating a negative relationship between the two variables.
- The points are not perfectly linear, but there is a discernible negative correlation.

**Figure 2**
- Both axes range from 0 to 11.
- The plot shows an upward curve, suggesting a non-linear relationship.
- The points tend to increase together, but not in a perfectly straight line.

**Figure 3**
- Both axes range from 0 to 11.
- The plot shows an almost perfect upward linear trend.
- The points form a near-perfect line from the bottom-left to the top-right, indicating a strong positive correlation.

**Figure 4**
- Both axes range from 0 to 11.
- The plot shows a downward trend, similar to Figure 1, but with more scatter.
- There is a negative correlation, but the relationship is not perfectly linear.

#### Questions:

1. **Which data set has an apparent negative, but not perfect, linear relationship between its two variables?**
    - Options: Choose from Figure 1, Figure 2, Figure 3, or Figure 4.

2. **For which data set does the correlation coefficient \( r \) appear to be equal to 1?**
    - Options: Choose from Figure 1, Figure 2, Figure 3, or Figure 4.

3. **Which data set indicates the strongest linear relationship between its two variables?**
    - Options: Choose from Figure 1, Figure 2, Figure 3, or Figure 4.

**[Dropdown menus are provided for each question for the user to select the appropriate figure number.]**
Transcribed Image Text:### Scatter Plot Analysis Shown below are the scatter plots for four different data sets. **Answer the questions that follow. The same response may be the correct answer for more than one question.** #### Scatter Plots **Figure 1** - Both axes range from 0 to 11. - The plot shows a downward trend, indicating a negative relationship between the two variables. - The points are not perfectly linear, but there is a discernible negative correlation. **Figure 2** - Both axes range from 0 to 11. - The plot shows an upward curve, suggesting a non-linear relationship. - The points tend to increase together, but not in a perfectly straight line. **Figure 3** - Both axes range from 0 to 11. - The plot shows an almost perfect upward linear trend. - The points form a near-perfect line from the bottom-left to the top-right, indicating a strong positive correlation. **Figure 4** - Both axes range from 0 to 11. - The plot shows a downward trend, similar to Figure 1, but with more scatter. - There is a negative correlation, but the relationship is not perfectly linear. #### Questions: 1. **Which data set has an apparent negative, but not perfect, linear relationship between its two variables?** - Options: Choose from Figure 1, Figure 2, Figure 3, or Figure 4. 2. **For which data set does the correlation coefficient \( r \) appear to be equal to 1?** - Options: Choose from Figure 1, Figure 2, Figure 3, or Figure 4. 3. **Which data set indicates the strongest linear relationship between its two variables?** - Options: Choose from Figure 1, Figure 2, Figure 3, or Figure 4. **[Dropdown menus are provided for each question for the user to select the appropriate figure number.]**
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