Regression Coefficients $\hat{y}=\hat{b}x + \hat{a}$ \[ \left\{\begin{array}[l] \hat{b}=\frac{\sum_{i=1}^{n}x_iy_i-n\bar{x}\bar{y}}{\sum_{i=1}^{n}x_i^2-n\bar{x}^2} \\ \hat{a}=\bar{y}-\hat{b}\bar{x} \\ \end{array} \right. \]
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