You Are Given the Following Data, Where X₁ (Attendance Rate)

Essay

You are given the following data, where X₁ (attendance rate) and X₂ (average SAT score) are to be used to predict Y (average score in graduation test). Each case represents one school.
$\begin{array}{|c|c|c|}\hline Y & X_{\mathbf{1}} & X_{\mathbf{2}} \\\hline 78.4 & 93.4 & 1010 \\\hline 81.3 & 94.6 & 1020 \\\hline 81.3 & 95.4 & 1024 \\\hline 82.5 & 91.1 & 1136 \\\hline 77.8 & 91.6 & 952 \\\hline 84.5 & 94.2 & 1042 \\\hline 88.2 & 94.5 & 1106 \\\hline 88.7 & 93.4 & 1004 \\\hline 72.5 & 92.1 & 880 \\\hline 85.4 & 94.9 & 1124 \\\hline 82.9 & 94.3 & 1124 \\\hline 81.4 & 94.7 & 996 \\\hline\end{array}$ Determine the following values: intercept, b₁, b₂, SS_res, SS_reg, F, s_res², s(b₁), s(b₂), t₁, t₂.