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 me

Question

2 years ago

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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 me

asures 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

Mathematics

1 answer:

saveliy_v [14] · Answer 1 · 2022-09-15T23:38:06+03:00

Answer:

r is always between 0 and 1

Step-by-step 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.

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<em>Comment on correlation coefficient</em>

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.