Respuesta :
Answer:
[tex]r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}[/tex]
By properties the correlation coeffcient is always:
[tex] -1 \leq r \leq 1[/tex]
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 [tex]0 \leq r \leq 1[/tex]
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
Step-by-step 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:
[tex]r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}[/tex]
By properties the correlation coeffcient is always:
[tex] -1 \leq r \leq 1[/tex]
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 [tex]0 \leq r \leq 1[/tex]
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
