(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.
\(r=\frac{\sum x_{i} y_{i}-\left(\Sigma x_{i}\right)\left(\Sigma y_{i}\right) / n}{\sqrt{\left[\sum x_{i}^{2}-\left(\Sigma x_{i}\right)^{2} / n\right]\left[\Sigma y_{i}^{2}-\left(\Sigma y_{i}\right)^{2} / n\right]}}\)
| X | Y |
| 1 | 1 |
| 1 | 3 |
| 5 | 2 |
| 5 | 4 |
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