Suppose the correlation between two measurement variables is −1.Which of the following statements is not true?
A)As one of the variables increases, the other decreases.
B)The data looks the same as when two variables have a deterministic linear relationship.
C)The correlation between the variables is very weak.
D)All of the above statements are true.

Question

Quizplus · Accepted Answer

A correlation of -1 indicates a very strong negative linear relationship between the two variables. Therefore, as one variable increases, the other decreases. The data does not look the same as with a deterministic linear relationship, as there is no scatter around the line - all points are on the line. Statement C is not true because a correlation of -1 is actually a perfect correlation and not considered weak.

Suppose the Correlation Between Two Measurement Variables Is −1