Question

Twenty different statistics students are randomly selected. For each of​ them, their body temperature (degrees°​C) is measured and their head circumference​ (cm) is measured. If it is found that r=​0, does that indicate that there is no association between these two​variables?

Choose the correct answer below.

A.Yes, because if r =​0, the variables are completely unrelated.

B.​No, because while there is no linear​ correlation, there may be a relationship that is not linear.

C.​No, because if r=​0,the variables are in a perfect linear relationship.

D.​No, because r does not measure the strength of the​ relationship, only its direction.

Answer 1

Answer: the answer is b.

r = 0 means that there is not a linear relationship between both variables, but there are other types of relationships that can be happening here.

you for example can have a quadratic relation or something weirder.