The answer is

To solve this problem, we must find the numbers of the linear regression (y = ao + a1*x). They can be found resolving the following equation system:


When you have solved this system, you will get that ao = 3.7488 and a1 = 0.143
Afterward, we must find the error:

Then, we find the value of St:

Finally, the correlation coefficient is equal to:

Therefore, the correlation coefficient is 0.596.