It is possible that the data points close to a curve have a correlation close to 0, because correlation is relevant only for measuring linear relationships.

Question

Quizplus · Accepted Answer

Correlation measures only the linear relationship between variables, and does not account for non-linear or curved relationships. Therefore, data points may be close to a curve but still have a low correlation if the relationship between the variables is not linear.

It Is Possible That the Data Points Close to a Curve