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

It seems like I can’t do more advanced data analysis right now. Please try again later. If you'd like, you can calculate the correlation coefficient manually or use another tool. Let me know if you'd like guidance on how to do that!

Here are some questions to deepen your understanding:

1. How do you interpret a correlation coefficient in statistics?
2. What are the differences between positive and negative correlations?
3. Can you explain the significance of using Pearson's correlation coefficient over other types?
4. How do outliers in the dataset affect the correlation coefficient?
5. How can you visually check for a correlation before calculating it?

**Tip**: Always visualize your data first with a scatter plot to get an intuitive sense of the relationship before calculating a correlation coefficient.

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 Pearson's correlation coefficient with a dataset involving x and y values. The dataset contains values ranging from 5 to 18 for x and 15.5 to 25.8 for y. Suitable for students in Grades 10-12, this problem covers statistical concepts like correlation and linear relationships.

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