Which of the following statements regarding the correlation coefﬁcient is false?
A)The correlation coefﬁcient is a value between -1 and 1.
B)A high correlation coefﬁcient tells us the data are linear.
C)A correlation coefﬁcient of 1 means that two variables are perfectly linearly related.
D)A correlation coefﬁcient of -1 means that as one variable increases, the other decreases.

Question

Quizplus · Accepted Answer

A high correlation coefficient indicates a strong relationship between two variables, but it does not necessarily mean the relationship is linear. Correlation measures the strength and direction of a linear relationship between two variables, but a high correlation does not prove linearity.

Which of the Following Statements Regarding the Correlation Coefﬁcient Is