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A data set was graphed using a scatterplot.
The correlation coefficient, r, is 0.813.

**Which of the following statements explains how the correlation is affected?**

A.)

It is affected by nonlinearity.

B.)

It is not affected.

C.)

It is affected by inappropriate grouping.

D.)

It is affected by an influential point.

The scatterplot you uploaded shows a clear positive linear relationship between the variables, with a correlation coefficient \( r = 0.813 \). Given the strong positive correlation (with \( r \) being close to 1), the most reasonable answer is:

**B.) It is not affected.**

The correlation is not significantly impacted by factors like nonlinearity, inappropriate grouping, or an influential point, as the data points generally follow a linear pattern without any extreme outliers or significant nonlinearity.

Would you like a detailed explanation of how correlation coefficients work, or any questions about the scatterplot?

Here are some related questions:
1. What is the interpretation of a correlation coefficient close to 1 or -1?
2. How can outliers affect the correlation coefficient?
3. What is the difference between linear and nonlinear relationships in data?
4. What is an influential point, and how does it impact correlation?
5. How does correlation differ from causation?

**Tip:** Always look at the scatterplot visually to complement the numerical value of \( r \); this helps detect any nonlinearity or outliers that could affect interpretation.

A data set was graphed using a scatterplot. The correlation coefficient, r, is 0.813. Which of the following statements explains how the correlation is affected? A.) It is affected by nonlinearity. B.) It is not affected. C.) It is affected by inappropriate grouping. D.) It is affected by an influential point.

This problem involves analyzing a scatterplot with a correlation coefficient of 0.813. Learn how the correlation is not affected by nonlinearity, inappropriate grouping, or an influential point, as the data points follow a linear pattern. Suitable for students in Grades 9-12.

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