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Give an example of a correlation coefficient value that could represent this scenario. Give an example of a correlation coefficient value that could represent this scenario.

The graph you provided shows a scatterplot with a linear trendline that has a negative slope, indicating a negative correlation between \(x\) and \(y\). 

An example of a correlation coefficient value that could represent this scenario is **\(-0.7\)**. This suggests a moderately strong negative linear relationship between the two variables. 

Let me know if you'd like further explanation! 

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Here are 5 related questions to deepen understanding:

1. What does a correlation coefficient of \(-1\) represent, and how does it compare to \(-0.7\)?
2. Can a correlation coefficient tell us anything about causation between \(x\) and \(y\)?
3. How do outliers affect the value of the correlation coefficient?
4. What is the difference between correlation and regression?
5. How would the correlation coefficient change if the points were more tightly clustered around the trendline?

**Tip:** A correlation coefficient (\(r\)) ranges between \(-1\) and \(1\). Negative values indicate an inverse relationship, while positive values indicate a direct relationship.

Give an example of a correlation coefficient value that could represent this scenario.

Explore an example of a correlation coefficient value (-0.7) that represents a negative relationship between two variables. This scenario involves analyzing a scatterplot with a downward-sloping trendline, showcasing a moderately strong negative correlation. Learn more about Pearson's correlation and its interpretation.

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