ind the correlation coefficient for this: x values = 32, 25, 9, -7, 34, 8, 26.        y values = 9, 2, -9, 8, 27, 37, -6

The correlation coefficient between the given \( x \) and \( y \) values is approximately 0.0165. This indicates a very weak, almost negligible positive linear relationship between the two sets of values.

Would you like more details on how this was calculated or have any questions?

Here are 5 questions to further your understanding:
1. What does a correlation coefficient tell us about two sets of data?
2. How does a correlation coefficient value near 0 impact predictions?
3. What is the range of possible correlation coefficient values, and what do they signify?
4. How can you calculate the correlation coefficient by hand?
5. Can the correlation coefficient change if one of the data points is altered significantly?

**Tip**: A correlation coefficient near 0 suggests little to no linear relationship between the variables, but other types of relationships may still exist.

Find the correlation coefficient for this: x values = 32, 25, 9, -7, 34, 8, 26. y values = 9, 2, -9, 8, 27, 37, -6.

Learn how to calculate the correlation coefficient between two data sets: x values = 32, 25, 9, -7, 34, 8, 26 and y values = 9, 2, -9, 8, 27, 37, -6. This problem explores key statistical concepts like correlation and linear relationships, using the Pearson correlation coefficient formula. Suitable for students in Grades 9-12.

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