Find the correlation coefficient of the following table using technology (such as GeoGebra). 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
negative 0 point 9 5

0.88
0.88

0.95
0.95

1

1 answer

To find the correlation coefficient for the given dataset, you can use any statistical tool or software that calculates correlation coefficients.

Given the data:

\[ \begin{array}{|c|c|} \hline x & y \ \hline 2.3 & 19 \ 3.1 & 28 \ 4.5 & 33 \ 6.6 & 82 \ \hline \end{array} \]

Using technology (like GeoGebra), input the points into a scatter plot and calculate the correlation coefficient. The correlation coefficient (often denoted as \( r \)) measures the strength and direction of a linear relationship between two variables.

After entering the values and calculating:

The correlation coefficient for this dataset is approximately 0.95 when rounded to the nearest hundredth.

Thus, the correct response is:

0.95.