If a scatter plot shows points that are closely clustered together, what can you infer about the correlation between the variables?

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When a scatter plot displays points that are closely clustered together, it typically indicates a **strong correlation** between the two variables being analyzed. Here's what you can infer based on the clustering pattern:

1. **Direction of the Correlation:**
   - **Positive Correlation:** If the tightly clustered points slope upwards from left to right, it suggests that as one variable increases, the other variable also tends to increase.
   - **Negative Correlation:** If the cluster slopes downwards from left to right, it indicates that as one variable increases, the other tends to decrease.

2. **Strength of the Correlation:**
   - **Tight Clustering:** Indicates a **strong correlation**, meaning the relationship between the variables is consistent and predictable.
   - **Loose Clustering:** Would suggest a weaker correlation, where the variables do not move together as consistently.

3. **Nature of the Relationship:**
   - **Linear Relationship:** If the clustered points form a pattern that closely follows a straight line (either ascending or descending), the correlation is likely linear and strong.
   - **Non-Linear Relationship:** If the points are tightly clustered but follow a curvilinear pattern, there may be a strong non-linear relationship.

**Key Takeaway:** Close clustering of points on a scatter plot signifies that there is a strong and consistent relationship between the two variables, with the direction (positive or negative) determined by the slope of the clustering pattern.
When points on a scatter plot are closely clustered together, it means there is a strong correlation between the variables. This correlation can be positive (both variables increase together) or negative (one variable increases while the other decreases). The tight clustering indicates that the variables move together consistently, making the relationship between them strong and predictable.

If a scatter plot shows points that are closely clustered together, what can you infer about the correlation between the variables?

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