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  • https://stats.libretexts.org/Bookshelves/Computing_and_Modeling/Supplemental_Modules_(Computing_and_Modeling)/Regression_Analysis/Multiple_Linear_Regression
    \[\begin{eqnarray*} b_0 n + b_1\sum_i X_i^{(1)} + b_2 \sum_i X_i^{(2)} + \cdots + b_{p-1} \sum_i X_i^{(p-1)} &=& \sum_i Y_i \\ b_0 \sum_i X_i^{(1)} + b_1 \sum_i (X_i^{(1)})^2 + b_2 \sum_i X_i^{(1)} X_...\[\begin{eqnarray*} b_0 n + b_1\sum_i X_i^{(1)} + b_2 \sum_i X_i^{(2)} + \cdots + b_{p-1} \sum_i X_i^{(p-1)} &=& \sum_i Y_i \\ b_0 \sum_i X_i^{(1)} + b_1 \sum_i (X_i^{(1)})^2 + b_2 \sum_i X_i^{(1)} X_i^{(2)} + \cdots + b_{p-1} \sum_i X_i^{(1)} X_i^{(p-1)} &=& \sum_i X_i^{(1)} Y_i \\ \cdots \qquad \cdots \qquad \cdots \qquad \cdots &=& \cdot \\ b_0 \sum_i X_i^{(p-1)} + b_1 \sum_i X_i^{(p-1)}X_i^{(1)} + b_2 \sum_i X_i^{(p-1)} X_i^{(2)} + \cdots + b_{p-1} \sum_i (X_i^{(p-1)})^2 &=& \sum_i X_i^{(p-…

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