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; weak
0.97300135; weak

0.97300135; strong
0.97300135; strong

−0.97300135
−
0.97300135
; strong
negative 0.97300135 ; strong

−0.97300135
−
0.97300135
; weak

Answer 1

To compute the correlation coefficient (Pearson's r) for the given data:

\[
x: 1, 3, 5, 7, 9
\]
\[
y: 13, 43, 51, 76, 81
\]

Calculating the correlation coefficient involves several steps, including finding the mean of both \( x \) and \( y \), calculating the covariance, and determining the standard deviations of both datasets.

However, based on the data you've provided and upon recognizing that \( r \) is very close to 1, the strongest possible correlation (positive) can be concluded.

The resulting correlation coefficient is approximately \( 0.973 \).

Since \( 0.973 \) is close to 1, it indicates a **strong positive correlation** between the variables \( x \) and \( y \).

Therefore, the correct response is:

**0.97300135; strong**.