Question

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; strong
0.97300135; strong

−0.97300135
; weak
negative 0.97300135 ; weak

−0.97300135
; strong
negative 0.97300135 ; strong

0.97300135; weak

Answer 1

To determine the correlation coefficient of the given data, we can calculate it based on the values of \( x \) and \( y \).

The values are:
- \( x = [1, 3, 5, 7, 9] \)
- \( y = [13, 43, 51, 76, 81] \)

Using a statistical tool or by calculating it manually, the correlation coefficient \( r \) can be computed. Given that the correlation coefficient is \( 0.97300135 \), we can interpret this value.

A correlation coefficient value of \( 0.97300135 \) indicates a strong positive correlation between \( x \) and \( y \). The closer the value is to \( 1 \), the stronger the positive correlation.

Therefore, the correct interpretation is:

**0.97300135; strong**