Problem

Calculate $\Sigma X Y$ for the following set of scores.
\[
\begin{array}{cc}
X & Y \\
\hline 1 & 0 \\
2 & 4 \\
3 & -1 \\
5 & -2
\end{array}
\]

Answer

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Answer

So, the sum of the product of corresponding elements in the two sets X and Y is \(\boxed{-5}\).

Steps

Step 1 :Given the sets of scores X = [1, 2, 3, 5] and Y = [0, 4, -1, -2], we are asked to calculate the sum of the product of corresponding elements in the two sets, denoted as \(\Sigma XY\).

Step 2 :This can be calculated by multiplying each X value with its corresponding Y value and then summing up all the results.

Step 3 :Doing this, we get: \((1*0) + (2*4) + (3*(-1)) + (5*(-2)) = -5\).

Step 4 :So, the sum of the product of corresponding elements in the two sets X and Y is \(\boxed{-5}\).

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