What is the correlation coefficient of the following data? Is it a strong or weak correlation?

x 1 3 5 7 9
y 13 43 51 76 81
(1 point)
Responses

−0.97300135; weak
negative 0.97300135 ; weak

0.97300135; strong
0.97300135; strong

−0.97300135; strong
negative 0.97300135 ; strong

0.97300135; weak

1 answer

To determine the correlation coefficient of the provided data, we typically would calculate the Pearson correlation coefficient (r).

Your data points are:

  • \( x = [1, 3, 5, 7, 9] \)
  • \( y = [13, 43, 51, 76, 81] \)

Using a statistical calculator or software available, we can find the correlation coefficient \( r \).

Calculating it, we obtain:

\[ r \approx 0.973 \]

This indicates a strong positive correlation, as the value is close to 1.

Based on the options provided, the correct response is:

0.97300135; strong