https://file.aiquickdraw.com/mathbot/file/17333352530602ecnkiwp.jpg

To solve this, we match the scatterplots with their correlation coefficients based on the strength and direction of the relationships. Here's how the correlations relate to the plots:

1. **-0.90 (a)**: Strong negative correlation. The points form a tight downward trend.

2. **0.84 (b)**: Strong positive correlation. The points form a tight upward trend.

3. **-0.64 (c)**: Moderate negative correlation. The points show a downward trend but with more spread.

4. **0.35 (d)**: Weak positive correlation. The points show a loose upward trend with significant scatter.

Let’s analyze each scatterplot in the image:

- **First Plot**: Displays a moderate negative trend. It corresponds to **-0.64 (c)**.
- **Second Plot**: Shows a tight downward trend. It corresponds to **-0.90 (a)**.
- **Third Plot**: Displays a loose upward trend. It corresponds to **0.35 (d)**.
- **Fourth Plot**: Shows a tight upward trend. It corresponds to **0.84 (b)**.

### Final Matching:
1. **First Plot → -0.64 (c)**
2. **Second Plot → -0.90 (a)**
3. **Third Plot → 0.35 (d)**
4. **Fourth Plot → 0.84 (b)**

Would you like additional explanation or details about how correlations are determined? 

### Related Questions:
1. What are the key factors in determining the strength of a correlation from a scatterplot?
2. How can you calculate correlation coefficients from raw data?
3. What are the limitations of using scatterplots for correlation analysis?
4. What does a correlation of 0 imply about the relationship between variables?
5. How can outliers impact the correlation coefficient?

**Tip**: When interpreting scatterplots, focus on both the direction (positive or negative) and the spread of points (tight or loose) around a trend line.

Match each scatterplot shown below with one of the four specified correlation coefficients: a. -0.90, b. 0.84, c. -0.64, d. 0.35.

Learn how to match scatterplots with their corresponding correlation coefficients. This problem involves understanding the direction and strength of correlations, suitable for students in Grades 9-12.

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