(Step-by-Step) Determine the linear correlation coefficient by using the defining formula in Definition 14.6. r=(∑ x_i y_i-(\Sigma x_i)(\Sigma y_i)


Question: Determine the linear correlation coefficient by using the defining formula in Definition 14.6.

r=xiyi(Σxi)(Σyi)/n[xi2(Σxi)2/n][Σyi2(Σyi)2/n]r=\frac{\sum x_{i} y_{i}-\left(\Sigma x_{i}\right)\left(\Sigma y_{i}\right) / n}{\sqrt{\left[\sum x_{i}^{2}-\left(\Sigma x_{i}\right)^{2} / n\right]\left[\Sigma y_{i}^{2}-\left(\Sigma y_{i}\right)^{2} / n\right]}}

X Y
1 1
1 3
5 2
5 4

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