Question

Use the table to answer the question.

This table displays the relationship between two variables, x and y, showing the corresponding y-values for given x-values.
x-Value y-Value
5 22
6 29
7 28
8 31
9 37
Use technology (such as GeoGebra) to find the correlation coefficient of the data. Round your r-value to two decimal places, if necessary.

(1 point)
Responses

0.93
0.93

0.94
0.94

0.90
0.90

6.40
6.40

Answer 1

To determine the correlation coefficient (r-value) for the given data, you would typically use technology such as GeoGebra, Excel, or a statistical calculator. However, I can guide you through the steps to calculate it:

1. **Input the data:** Enter the x-values (5, 6, 7, 8, 9) and corresponding y-values (22, 29, 28, 31, 37) into the software or calculator.

2. **Calculate the correlation coefficient:** Use the built-in function for correlation (often labeled as "CORREL" in Excel or similar functions in other software).

After performing these steps, you will find that the correlation coefficient (r-value) for the given dataset is approximately 0.94.

Therefore, the correct response, rounded to two decimal places, is:

**0.94**