Question

page 11 of 12
Correlation Coefficient Practice
Complete this assessment to review what you’ve learned. It will not count toward your grade.
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Question
Use the table to answer the question.

x-Value y-Value
1 23
5 27
7 32
11 35
15 39
17 43
Find the correlation coefficient of the data using technology (such as GeoGebra). Round your r-value to two decimal places, if necessary.

(1 point)
r=

Answer 1

To find the correlation coefficient \( r \) for the given data, you can use technology such as a graphing calculator or software like GeoGebra.

Here’s how to calculate it using a formula or technology:

1. **Input the Data**: First, you need to enter the x-values and y-values into the tool you are using. For your data:
- x-values: \( [1, 5, 7, 11, 15, 17] \)
- y-values: \( [23, 27, 32, 35, 39, 43] \)

2. **Calculate the Correlation Coefficient**: Use the correlation function of the software or calculator to compute \( r \).

Using GeoGebra or a similar tool, you would find the correlation coefficient \( r \) for the dataset. After performing the calculation, you should find that:

\[
r \approx 0.98
\]

Thus, rounded to two decimal places, your answer would be:

**r = 0.98**