It simply shows that the two variables are not linearly related. Sometimes we presume that these two are independent. But you need theoretical justification.
This does not always follow, some 0 correlation may imply independence from each other, but most of the time, they are just not linearly related, but another form of dependence exists.
It means that the two variables are not linearly related. Sometimes we presume that these two are independent. They are just not linearly related, but another form of dependence exists.For this regress and see any other dependency...................?
I do agree to the fact that a correlation between X and Y is an indication that X and Y are not linearly related. However it does not necessarily mean there is no relationship between X and Y