https://file.aiquickdraw.com/mathbot/file/17259513589001k9rhvh0.jpg

In this task, you are asked to match each scatterplot to one of the four specified correlation coefficients provided:

- a. -0.29
- b. 0.53
- c. -0.91
- d. 0.97

To solve this, I'll analyze each scatterplot in terms of correlation:

1. **Scatterplot with a very strong positive relationship**: If the points are closely aligned in a straight line going upwards, this would correspond to the **highest positive correlation**, which is **d. 0.97**.
   
2. **Scatterplot with a strong negative relationship**: If the points are closely aligned in a straight line going downwards, this would correspond to the **strongest negative correlation**, which is **c. -0.91**.

3. **Scatterplot with a moderate positive relationship**: This scatterplot shows a generally upward trend, but with more spread out points, which corresponds to **b. 0.53**.

4. **Scatterplot with a weak negative relationship**: The points show a slight downward trend, but with more spread, corresponding to **a. -0.29**.

Let me now match these to the scatterplots in your image:

1. The **first scatterplot** (from the top) appears to have a weak negative trend, so this should be **a. -0.29**.
2. The **second scatterplot** shows a moderate positive trend, so this should be **b. 0.53**.
3. The **third scatterplot** clearly has a strong negative trend, so this should be **c. -0.91**.
4. The **fourth scatterplot** has a very strong positive trend, so this should be **d. 0.97**.

### Final Matchings:
- 1st scatterplot → a. -0.29
- 2nd scatterplot → b. 0.53
- 3rd scatterplot → c. -0.91
- 4th scatterplot → d. 0.97

Would you like more details on understanding correlations or scatterplots? 

Here are 5 related questions to expand your knowledge:
1. What is the difference between positive and negative correlation?
2. How do you calculate a correlation coefficient?
3. What is the interpretation of a correlation of 0?
4. Can two variables have a perfect correlation of 1 or -1 in real-world data?
5. What are the assumptions behind using correlation as a measure of association?

**Tip:** Always visually inspect scatterplots to ensure the correlation coefficient makes sense with the data's trend and spread.

Match each scatterplot shown below with one of the four specified correlations: -0.29, 0.53, -0.91, 0.97.

Learn how to match scatterplots to their corresponding correlation coefficients with values like -0.29, 0.53, -0.91, and 0.97. This problem demonstrates statistical analysis and visual trend interpretation, suitable for students in Grades 10-12.

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