Question

Mike records the heights and arm spans of his classmates in the table shown.



Mike plots the line-of-best fit as shown.



What is the correlation coefficient for the relationship between the variables, and does it suggest a strong correlation?

Responses

The correlation coefficient is 0.989, which suggests a strong correlation.
The correlation coefficient is 0.989, which suggests a strong correlation.

The correlation coefficient is 0.994, which suggests a strong correlation.
The correlation coefficient is 0.994, which suggests a strong correlation.

The correlation coefficient is 0.989, which suggests a weak correlation.
The correlation coefficient is 0.989, which suggests a weak correlation.

The correlation coefficient is 0.994, which suggests a weak correlation.

Answer 1

The correlation coefficient is generally a value between -1 and 1, where values closer to 1 or -1 indicate a stronger correlation, and values closer to 0 indicate a weaker correlation. In this case, both given correlation coefficients (0.989 and 0.994) are close to 1, suggesting a strong positive correlation between the heights and arm spans of Mike's classmates.

Thus, the correct response is:

**The correlation coefficient is 0.994, which suggests a strong correlation.**