When we restrict the range of X or Y , we may
A) lower the correlation from what it would otherwise be.
B) raise the correlation from what it might be.
C) leave the correlation the same as it would otherwise be.
D) All of the above are possible.

Question

Quizplus · Accepted Answer

Restricting the range of X or Y can have various effects on the correlation coefficient. It can lower the correlation if the restriction removes data points that contribute to a stronger correlation, raise the correlation if the restriction removes outliers or data points that weaken the overall correlation, or leave the correlation unchanged if the restriction does not significantly affect the linear relationship between X and Y. Therefore, all of the mentioned outcomes are possible depending on the specific circumstances of the data restriction.

When We Restrict the Range of X or Y