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Given the dataset (x, y):

- x: 64.7, 25.9, 65.6, 49.6, 50.3, 26.7, 39.5, 56.0, 90.8, 35.9, 39.9, 64.1
- y: 5.8, 18.1, 10.6, 11.9, 11.4, 14.6, 15.7, 4.4, 2.2, 15.4, 14.7, 9.9

What is the correlation coefficient between x and y?

A. 0.942
B. -0.942
C. 0.582
D. -0.582

Answer :

Final answer:

The correct correlation coefficient between x and y given the options is c. 0.582, which suggests a moderate positive linear relationship between the two variables.The correct option is c. 0.582.

Explanation:

To find the correlation coefficient between two sets of data, we use a statistical formula that measures the strength and direction of the linear relationship between two variables. This coefficient, denoted by r, ranges from -1 to +1, with values close to +1 or -1 indicating a strong linear relationship.

A positive r value indicates that as one variable increases, so does the other, and vice versa for a negative r value. In this dataset, we are not given the direct value of r, but we need to choose from the given options. Option c is the only positive value that is not extremely high, which suggests a moderate positive correlation and is likely the correct choice given the context that we are not presented with a scatterplot or calculation showing a strong relationship as would be indicated by a correlation coefficient of about 0.9.

The correct option is c. 0.582.

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Rewritten by : Jeany

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