If the true correlation between two variables is zero, then which of the following statements is true?
A) There is no linear relationship between the two variables.
B) There may be no relationship between the two variables.
C) Neither "There is no linear relationship between the two variables" nor "There may be no relationship between the two variables".
D) Both "There is no linear relationship between the two variables" and "There may be no relationship between the two variables".

Question

Quizplus · Accepted Answer

A zero correlation indicates there is no linear relationship between the variables, but it does not preclude the possibility of other types of relationships, hence both A and B are correct.

If the True Correlation Between Two Variables Is Zero, Then