Question

Which of the choices below is not a possible correlation coefficient?

Question 1 options:


-0.7841



1.0528



0.9524



0.512

Answer 1

The condition for r is the following:

`-1 \leq r \leq 1`

And for this case if we analyze the options the only impossible value is given by:

1.0528

Because this value is higher than 1 and not satisfy the general limits for r

Explanation:

The correlation coefficient is a measure of dispersion and is a value between -1 and 1, and is defined as:

`r=(n(\sum xy)-(\sum x)(\sum y))/(√([n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]))`

The condition for r is the following:

`-1 \leq r \leq 1`

And for this case if we analyze the options the only impossible value is given by:

1.0528

Because this value is higher than 1 and not satisfy the general limits for r