Question

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; weak
0.97300135; weak

−0.97300135; weak
negative 0.97300135 ; weak

0.97300135; strong
0.97300135; strong

−0.97300135; strong

Answer 1

To determine the correlation coefficient between the variables x and y, we can calculate it using the provided data:

```
x: 1 3 5 7 9
y: 13 43 51 76 81
```

Assuming you calculated the correlation coefficient correctly, a correlation coefficient of **0.97300135** would indicate a **strong positive correlation** between the two variables.

However, note that you mentioned a non-linear relationship in your question. Generally, a strong correlation coefficient (close to ±1) usually implies a linear relationship, so it might be worth examining the relationship further if it is genuinely non-linear.

Given the options, the correct answer based on a correlation coefficient of **0.97300135** would be:

**0.97300135; strong.**