Question: Patrick calculated the correlation coefficient to be 0 when observing the balance in his savings account over a two-year period. He concluded that there is

Patrick calculated the correlation coefficient to be 0 when observing the balance in his savings account over a two-year period. He concluded that there is no relationship between the balance and time.

Is Patrick correct? Explain your reasoning.

Answer choices:

A.Patrick's conclusion is correct. If the correlation coefficient is 0, there is a linear relationship.

B.Patrick's conclusion is not correct. If the correlation coefficient is less than 1, there is not a linear relationship, but there could be another type of relationship.

C.Patrick's conclusion is correct. If the correlation coefficient is greater than 1, there is not a linear relationship, but there could be another type of relationship.

D.Patrick's conclusion is correct. If the correlation coefficient is less than 1, there is not a linear relationship, but there could be another type of relationship.

E.Patrick's conclusion is not correct. If the correlation coefficient is 0, there is not a linear relationship, but there could be another type of relationship.

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