AP STAT QUESTION PLS HELP!!

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 no relationship between the balance and time.

Is Patrick correct? Explain your reasoning. (2 points)

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.

Answer 1

Answer is E. If the correlation coefficient = 0, no linear relationship between x and y exist (anything between -1 and 0 is a negative relationship, anything between 0 and 1 is a positive relationship). However, a different relationship could exist, such as quadratic relationship, which means you have to check the residual graph.