\( \begin{array}{l}r=\frac{n \sum x y-\sum x \sum y}{\sqrt{\left[n \sum x^{2}-\left(\sum x\right)^{2}\right]\left[\Sigma y^{2}-(\Sigma, y)^{2}\right]}} \\ r=\frac{9787-76(591)}{\sqrt{\left.1420-(76)^{2}\right]\left[72,421-(591)^{2}\right]}}\end{array} \)
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The formula for the numerator is \( n \sum xy - \sum x \sum y \). Plugging in the given values: \[ n \sum xy = 9787, \quad \sum x = 76, \quad \sum y = 591 \] Calculate \( \sum x \sum y \): \[ \sum x \sum y = 76 \times 591 = 44916 \] Show more…
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