Find the correlation coefficient using the following information:
\[
\begin{array}{l}
S_{x x}=26 \\
S_{y y}=40 \\
S_{x y}=-4
\end{array}
\]

NOTE: Round your answer to TWO decimal places.

Answer

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Answer

Final Answer: The correlation coefficient is \(\boxed{-0.12}\).

Steps

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 \(\boxed{-0.12}\).