Consider the two random variables x and y whose values are

Question

Question: Consider the two random variables X and Y whose values are given below. Note that X and Y are perfectly correlated, though perhaps not linearly correlated. Compute their correlation coefficient.

                 A                  B

1                   X                  Y

2                  -5             25

3                  -4             16

4                  -3              9

5                  -2              4

6                  -1              1

7                0              0

8                    1              1

9                    2              4

10                  3              9

11                  4              16