A graph shows the horizontal axis numbered 4 to 16 and the vertical axis numbered 4 to 12. Points and a line show a downward trend. 
Which is most likely the correlation coefficient for the set of data shown?

–0.91
–0.35
0.35
0.91

In the scenario described, where a graph shows a downward trend, the correlation coefficient is expected to be negative. The correlation coefficient (r) ranges from -1 to 1, with values closer to -1 indicating a strong negative correlation.

Given the options:

- **–0.91**: Strong negative correlation
- **–0.35**: Weak negative correlation
- **0.35**: Weak positive correlation
- **0.91**: Strong positive correlation

Since the graph shows a clear downward trend, the most likely correlation coefficient for the data is **–0.91**, indicating a strong negative correlation.

Would you like more details or have any questions about correlation coefficients? Here are some related questions:

1. What does a correlation coefficient of 0 indicate?
2. How can you visually determine the strength of a correlation from a graph?
3. What are some factors that might influence the correlation between two variables?
4. How is the correlation coefficient calculated?
5. Can a correlation coefficient be misleading? If so, how? 

Tip: Always visualize data before making assumptions about correlation!

A graph shows the horizontal axis numbered 4 to 16 and the vertical axis numbered 4 to 12. Points and a line show a downward trend. Which is most likely the correlation coefficient for the set of data shown?

Explore how to determine the correlation coefficient for data showing a downward trend. This example demonstrates the significance of a correlation coefficient of –0.91, indicating a strong negative correlation, with key concepts in statistics and correlation theory. Suitable for students in Grades 9-12.

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