Question

of the following, which is not true of r? The value r does not depend on the units of y and x, r is always between 0 and 1, r measures the strength of the linear relation between x and y, the value of r does not depend on which of two variables is labeled x, |r| is less than 1.0 unless the points on a scatterplot line up exactly​

Answer 1

r is always between 0 and 1

Explanation:

The untrue statement is ...

r is always between 0 and 1

One way you can tell is that it is inconsistent with the true statement |r| ≤ 1.

_____

Comment on correlation coefficient

The correlation coefficient (r) is the ratio of the covariance of x and y to the product of the standard deviations of x and y. This formula is symmetrical in x and y, so it doesn't matter which data set you call x and which one you call y. Similarly, the units cancel, so r is a unitless number, and the units of x and y don't matter, either.