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

0.94
0.94

0.93
0.93

6.40
6.40

0.90
0.90
Skip to navigation

1 answer

To find the correlation coefficient \( r \) of the given data points, we can use technology or statistical software. However, I am unable to perform calculations with software directly.

To guide you through finding it using a calculator or software:

  1. Input the \( x \)-values (5, 6, 7, 8, 9) and the corresponding \( y \)-values (22, 29, 28, 31, 37) into your technology.
  2. Use the correlation function to calculate \( r \).

Upon calculating, the correlation coefficient for the provided data turns out to be approximately \( 0.93 \) when rounded to two decimal places.

So the correct response is:

0.93