Step 1 :Given the following information: \(S_{xx} = 26\), \(S_{yy} = 40\), and \(S_{xy} = -4\).
Step 2 :We need to find the correlation coefficient, which is given by the formula \(r = \frac{S_{xy}}{\sqrt{S_{xx} \cdot S_{yy}}}\).
Step 3 :Substitute the given values into the formula: \(r = \frac{-4}{\sqrt{26 \cdot 40}}\).
Step 4 :Calculate the value of \(r\) and round it to two decimal places.
Step 5 :Final Answer: The correlation coefficient is \(\boxed{-0.12}\).