Question

Which of the following is not a possible r-value?

A.0.3
B.-0.3
C.-1.6
D.0.6

Answer 1

C. -1.6

Explanation:

The letter "r" designates the correlation coefficient between two sets of data. It is the ratio of their covariance to the product of their standard deviations.

What values can r have?

When two sets of data are perfectly correlated, the r-value is 1. When they are perfectly anti-correlated, the r-value is -1. Where there is no correlation at all, the r-value is zero. That is, we must have ...

|r| ≤ 1

The magnitude of the r-value can never be greater than 1, so ...

-1.6 is a disallowed value

Answer 2

option C
`-1.6`

Explanation:

we know that

The correlation coefficient r is used in statistics to measure how strong a relationship is between two variables. The value of r is always between
`+1` and
`-1`

so

The value of
`-1.6` is not a possible r-value