[191 Given a certain set of the data, you obtained the values of the correlation

Question

[191 Given a certain set of the data, you obtained the values of the correlation coefficient and the coefficient of determination. You then quickly realized that you should've swapped the independent variable (X) and the response variable (Y). If you swap X and Y, what is your expectation? (A) The value of the correlation coefficient may change, but the value of the coefficient of determination will not change (B) The value of the coefficient of determination may change, but the value of the correlation coefficient will not change (C) Both values will change (D) None of the values will change

Explanation / Answer

The decision of which variable you call "X" and which you call "Y" matters in regression, as you'll get a different best-fit line if you swap the two. The line that best predicts Y from X is not the same as the line that predicts X from Y

(however both those lines have the same value for R² ).

With correlation, you don't have to think about cause and effect. It doesn't matter which of the two variables you call "X" and which you call "Y". You'll get the same correlation coefficient if you swap the two.

Answer :- [ D ] None of the values will.change

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