Here is a bivariate data set.
x	y
33.6	98.9
42.7	86.9
22.2	56.4
42.4	-44
23.6	-108.5
40.8	21.1


Click to Copy-and-Paste Data

Find the correlation coefficient and report it accurate to three decimal places.
r = 

The correlation coefficient \( r \) is approximately \( 0.245 \).

Would you like more details or have any questions?

Here are 5 related questions for further exploration:
1. What does the value of the correlation coefficient tell us about the relationship between \( x \) and \( y \)?
2. How can you interpret a positive vs. negative correlation coefficient?
3. What are the limitations of using the correlation coefficient for bivariate data?
4. How would you calculate the coefficient of determination \( r^2 \) and what does it represent?
5. How does the presence of outliers affect the correlation coefficient?

**Tip:** A correlation coefficient close to 0 suggests a weak linear relationship, while values closer to 1 or -1 indicate stronger positive or negative linear relationships, respectively.

Find the correlation coefficient and report it accurate to three decimal places.

Learn how to calculate the Pearson correlation coefficient for the given bivariate data set. We explore the formula, provide a step-by-step solution, and discuss the meaning of the correlation coefficient. This problem is suitable for high school students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation