Using the given data:

Prices of eggs (x): 1.76, 1.80, 1.70, 1.83, 2.04, 1.79, 2.03, 1.78

Prices of milk (y): 3.57, 3.79, 3.45, 3.84, 3.96, 3.59, 3.86, 3.58

If you calculate it, you should find the correlation coefficient rrr.

To calculate the correlation coefficient \( r \), we use the following formula:

\[
r = \frac{n \sum (xy) - \sum x \sum y}{\sqrt{[n \sum x^2 - (\sum x)^2] [n \sum y^2 - (\sum y)^2]}}
\]

Where:
- \( n \) is the number of data points,
- \( x \) represents the prices of eggs,
- \( y \) represents the prices of milk.

Let's break down the steps:

1. Calculate the sum of \( x \) values and \( y \) values.
2. Calculate the sum of \( x^2 \) and \( y^2 \) values.
3. Calculate the sum of \( xy \) (i.e., the product of corresponding values of \( x \) and \( y \)).
4. Plug the sums into the formula and solve for \( r \).

Let me compute that.The correlation coefficient \( r \) is approximately \( 0.858 \). This indicates a strong positive correlation between the prices of eggs and milk.

Would you like more details about the calculation process or its interpretation?

Here are 5 related questions to expand on this concept:
1. How would you interpret the meaning of a correlation coefficient of 0.858?
2. What are the possible ranges for the correlation coefficient, and what do they signify?
3. Could a high correlation imply causation between the prices of eggs and milk?
4. How can you visualize the correlation between two variables?
5. What other statistical measures can be used alongside correlation?

**Tip:** Always check the context of your data to ensure correlation is meaningful and not influenced by external factors.

Learn how to calculate the correlation coefficient (r) between egg prices (1.76, 1.80, 1.70, 1.83, 2.04, 1.79, 2.03, 1.78) and milk prices (3.57, 3.79, 3.45, 3.84, 3.96, 3.59, 3.86, 3.58). This statistical analysis explains the steps and formula used to determine the strength of the relationship between the two variables. Suitable for high school students in Grades 10-12.

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