Here is a bivariate data set.
x	y
56.7	-71
69.9	46.2
66.4	19.1
63.4	48
83.2	-60.7
52.8	74.3
54	141
70.7	122.3


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

The correlation coefficient \( r \) for the given bivariate data set is \( r = -0.362 \), accurate to three decimal places.

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Here are some related questions to expand your understanding:
1. What does a negative correlation coefficient indicate about the relationship between two variables?
2. How does the magnitude of the correlation coefficient affect the strength of the relationship?
3. Can the correlation coefficient alone determine causality between variables?
4. What other methods can be used to analyze the relationship between two variables, apart from correlation?
5. How would the correlation coefficient change if the data had more outliers?

**Tip:** Always visualize the data (using scatter plots, for instance) to get a better sense of the relationship, especially when interpreting correlation coefficients.

Here is a bivariate data set. x y 56.7 -71 69.9 46.2 66.4 19.1 63.4 48 83.2 -60.7 52.8 74.3 54 141 70.7 122.3 Find the correlation coefficient and report it accurate to three decimal places. r =

Discover how to calculate the Pearson correlation coefficient (r) for a bivariate data set with values such as (x: 56.7, y: -71) and (x: 70.7, y: 122.3). Learn the key statistical concepts, including the formula for calculating r, and understand what the value indicates about the relationship between two variables. This problem is ideal for Grades 10-12 and college-level statistics students.

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