Question

Find the correlation coefficient of the following table using GeoGebra or Desmos. Round your answer to the nearest hundredth.
(x,y) (2.3,19) (3.1,28) (4.5,33) (6.6,82)


(1 point)
Responses

-0.95
-0.95

0.95
0.95

0.75
0.75

1
1

Answer 1

To find the correlation coefficient for the given data points \((2.3, 19)\), \((3.1, 28)\), \((4.5, 33)\), and \((6.6, 82)\), you can use tools like GeoGebra or Desmos. The steps generally include inputting the data and then calculating the correlation coefficient (often denoted as \( r \)) using the software’s statistical functions.

Given the nature of the data points, they seem to show a positive trend, which would suggest a positive correlation.

If you were to compute this correlation manually or through the mentioned software, you would get a correlation coefficient close to \( r = 0.95 \), depending on the software's computation.

From the available answer options, the most accurate correlation coefficient, rounded to the nearest hundredth, is:

**0.95**