Based on the data shown below, calculate the correlation coefficient (rounded to three decimal places)

x	y
5	15.5
6	17.1
7	18.1
8	18.8
9	18.7
10	21.7
11	18.5
12	20.2
13	21.6
14	22.9
15	23.7
16	23.3
17	23.6
18	25.8

The correlation coefficient for the given data is \(0.950\) (rounded to three decimal places). 

This indicates a strong positive linear relationship between \(x\) and \(y\).

Would you like more details or have any questions about this calculation?

Here are five related questions:
1. What does a correlation coefficient of 0.950 suggest about the data?
2. How is the correlation coefficient affected by changes in the data?
3. Can a high correlation coefficient indicate causation between variables?
4. How would you interpret a correlation coefficient of -0.950?
5. What is the difference between correlation and regression analysis?

**Tip:** A correlation coefficient close to 1 indicates a strong positive relationship, while one close to -1 indicates a strong negative relationship.

Based on the data shown below, calculate the correlation coefficient (rounded to three decimal places):

x	y
5	15.5
6	17.1
7	18.1
8	18.8
9	18.7
10	21.7
11	18.5
12	20.2
13	21.6
14	22.9
15	23.7
16	23.3
17	23.6
18	25.8

Learn how to calculate the correlation coefficient for the provided data points, showing a strong positive linear relationship between x and y. This problem utilizes the Pearson correlation formula and is suitable for students in Grades 9-12.

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