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; weak
0.97300135; weak

−0.97300135
; weak
negative 0.97300135 ; weak

−0.97300135
; strong

1 answer

To calculate the correlation coefficient (specifically Pearson's r) for the given data, we can use the values provided in the table.

The correlation coefficient ranges from -1 to 1. A value closer to 1 indicates a strong positive correlation, a value closer to -1 indicates a strong negative correlation, and a value around 0 indicates no correlation.

You've stated that the data shows a positive correlation, which suggests the correlation coefficient should be positive.

Given Correlation Coefficient: For the provided data, the correlation coefficient is given as 0.97300135.

Interpretation:

  • Since this value (0.973) is very close to 1, it indicates a strong positive correlation between x and y.

Conclusion: The correlation coefficient is 0.97300135, and the relationship is strong.

The correct response based on the provided options would be: 0.97300135; strong.