Question

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

This table shows the relationship between two variables, x and y suggesting a positive correlation between x and y indicating a non-linear relationship.
x y
1 3 5 7 9
13 43 51 76 81
(1 point)
Responses

0.97300135; strong
0.97300135; strong

−0.97300135
; strong
negative 0.97300135 ; strong

0.97300135; weak
0.97300135; weak

−0.97300135
; weak

Answer 1

To determine the correlation coefficient from the provided data points, we can calculate it directly or summarize what we know about the relationships usually before calculating it in detail. However, based on your data, it is apparent that you already have a specific correlation coefficient provided as options.

The x-values: 1, 3, 5, 7, 9
The y-values: 13, 43, 51, 76, 81

Let’s first highlight a few observations:

1. The x-values and y-values appear to increase together, suggesting a positive correlation, but you also mentioned that it indicates a non-linear relationship, which can affect interpretation.

2. The given correlation coefficient options include both positive and negative values.

Given the positive relationship and the value of 0.97300135, this suggests a strong positive correlation. Since values closer to 1 indicate a strong positive relationship and those closer to -1 indicate strong negative relationships, we can classify 0.973 as a strong positive correlation.

Therefore, the correct response is:

**0.97300135; strong**.