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Twenty different statistics students are randomly selected. For each of​ them, their body temperature ​(degrees°​C) is...

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 equals=​0, does that indicate that there is no association between these two​ variables?

A.

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

B.​Yes, because if

r equals=​0,

the variables are completely unrelated.

C.

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

D.​No, because if

r equals=​0,

the variables are in a perfect linear relationship.

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Answer #1

B.​Yes, because if

r equals=​0,

the variables are completely unrelated.

Correlation coefficient = r= 0 ...............there is no relationship between two variables.

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Answer #2
No, b/c while there is no linear correlation, there may be a relationship that is not linear
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