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
negative 0.97300135 ; weak

0.97300135; strong
0.97300135; strong

−0.97300135
; strong
negative 0.97300135 ; strong

0.97300135; weak
0.97300135; weak
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Answer 1

To determine the correlation coefficient of the given data, we can use the Pearson correlation formula. However, I can give you the result without performing the detailed calculations since we have the options.

By observing the data points you provided:

- **x values**: \(1, 3, 5, 7, 9\)
- **y values**: \(13, 43, 51, 76, 81\)

The y values seem to be increasing as x increases. This suggests a positive relationship between the two variables.

Since you provided the options and the values range from approximately -1 to 1:

1. A correlation coefficient close to 1 (or -1) indicates a strong relationship.
2. A correlation coefficient close to 0 indicates a weak relationship.

From the options, the correlation coefficients given are \(0.97300135\) (positive, indicating a strong positive correlation), and \(-0.97300135\) (negative, indicating a strong negative correlation).

Given that the y values are increasing and the coefficient is positive, we would identify the correlation coefficient as \(0.97300135\) which indicates a strong positive correlation.

So the correct response is:

**0.97300135; strong.**