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Which of the following correlation coefficients represents no correlation between two variables?

Question

Which of the following correlation coefficients represents no correlation between two variables?

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Solution

A correlation coefficient is a number between -1 and 1 that tells us how closely two variables are related. If the correlation coefficient is 1, it means the two variables are perfectly positively correlated. If it's -1, they're perfectly negatively correlated.

But if the correlation coefficient is 0, it means there's no correlation between the two variables at all. They don't affect each other in any way. So, the answer to your question is 0. A correlation coefficient of 0 represents no correlation between two variables.

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