Question

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Correlation Coefficient Quick Check
4 of 54 of 5 Items





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; weak
0.97300135; weak

−0.97300135
; strong
negative 0.97300135 ; strong

0.97300135; strong
0.97300135; strong

Answer 1

To find the correlation coefficient \( r \) for the provided data points, we can use the formula or a statistical tool to compute it. From your given data:

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

Calculating the correlation coefficient, it appears that the correlation is indeed \( r \approx 0.973 \).

**Interpreting the result:**
- A correlation coefficient (r) of \( 0.973 \) indicates a **strong positive correlation** between the variables x and y. This means that as x increases, y tends to increase as well, and the correlation is significant due to the high absolute value of r close to 1.

Based on the options provided, the correct interpretation would be:

**0.97300135; strong**

So the answer would be the last option: **0.97300135; strong**.