When a scatterplot is clearly curvilinear:
A)The calculated correlation coefficient for all the data in the scatterplot may be low.
B)The calculated correlation coefficient for all the data in the scatterplot will be significant.
C)As one variable goes up, the other consistently goes down.
D)None of these.

Question

Quizplus · Accepted Answer

A curvilinear relationship suggests that there may be a nonlinear association between the two variables. As a result, the calculated correlation coefficient for all the data in the scatterplot may be low, as it only accounts for linear associations. Additionally, C is not always true, as there may be instances where both variables increase or decrease together before reaching a peak or valley. B and D are also incorrect, as a curvilinear relationship does not necessarily indicate statistical significance and cannot be ruled out or confirmed without further analysis.

When a Scatterplot Is Clearly Curvilinear