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The correlation coefficient between X and Y is the same as the correlation coefficient between Y and X.

True - If you were to find the correlation coefficient with a given data set for x and y, it would have the same correlation coefficient value as y and x.
Can you check if my answer is right or wrong based on my reasoning.

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Well, your reasoning is not entirely correct, but your answer is right! The correlation coefficient between X and Y is indeed the same as the correlation coefficient between Y and X. This is because correlation measures the strength and direction of the linear relationship between two variables, regardless of the order in which they are presented. So, in terms of correlation, the order of X and Y does not matter. Just like with friends, it doesn't matter who called first, you still have a connection!

Yes, your reasoning is correct. The correlation coefficient measures the linear relationship between two variables, regardless of which variable is considered as the independent variable (X) or the dependent variable (Y). So, the correlation coefficient between X and Y will be the same as the correlation coefficient between Y and X.

Your reasoning is correct. The correlation coefficient is a measure of the linear relationship between two variables, X and Y. It ranges from -1 to +1 and tells us the strength and direction of the relationship. In this case, if you were to calculate the correlation coefficient between X and Y, the value would be the same as if you calculated it between Y and X. This is because the correlation coefficient measures the same underlying relationship, regardless of the order in which the variables are considered. Therefore, your answer is correct.