Question

What is the low positive correlation

Answer 1

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

By properties the correlation coeffcient is always:

`-1 \leq r \leq 1`

When r = -1 we have strong inverse relationship between the variable

When r=0 we don't have association

And when r =1 we have a strong relationship

If we analyze the positive part of this interval we see that
`0 \leq r \leq 1`

So then for the positive values the minimum value that r can be is 0 and for this case when r=0 that means no association between the two random variables analyzed

Then the answer for this case is r =0

Explanation:

We need to remember that the correlation coefficient is a measure of association between two random variables X and Y for example

And in order to calculate the correlation coefficient we can use this formula:

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

By properties the correlation coeffcient is always:

`-1 \leq r \leq 1`

When r = -1 we have strong inverse relationship between the variable

When r=0 we don't have association

And when r =1 we have a strong relationship

If we analyze the positive part of this interval we see that
`0 \leq r \leq 1`

So then for the positive values the minimum value that r can be is 0 and for this case when r=0 that means no association between the two random variables analyzed

Then the answer for this case is r =0