Use the table to answer the question.

Question

This table shows the corresponding y-values for a given set of x-values.
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=
Remaining Attempts : 3
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Answer 1

To find the correlation coefficient \( r \) using technology, follow these steps (assuming you are using software like GeoGebra or a similar statistical tool):

1. Input the data: Enter the pairs of \( x \)-values and corresponding \( y \)-values into the software. You should enter the following data points:

   • (1, 23)
   • (5, 27)
   • (7, 32)
   • (11, 35)
   • (15, 39)
   • (17, 43)

2. Calculate the correlation: Use the statistical function or analysis tool to compute the correlation coefficient. In GeoGebra, you can use the command Correlation[xList, yList] where xList is the list of \( x \)-values and yList is the list of \( y \)-values.

3. Round the value: After the software provides the \( r \)-value, round it to two decimal places.

If you perform these steps correctly, you should find that the correlation coefficient, \( r \), is approximately 0.99.

Thus, the answer is:

\[ r = 0.99 \]