You Are Given the Following Data, Where X₁ (Pretest Score)

Essay

You are given the following data, where X₁ (Pretest score) and X₂ (Hours spent in the program) are used to predict Y (Posttest score):

$\begin{array}{ccc}\hline \boldsymbol{Y} & \boldsymbol{X}_{\mathbf{1}} & \boldsymbol{X}_{\mathbf{2}} \\\hline 65 & 60 & 7.5 \\82 & 62 & 9.0 \\94 & 75 & 8.5 \\80 & 78 & 7.0 \\87 & 65 & 10.0 \\66 & 60 & 8.0 \\\hline\end{array}$
Determine the following values: intercept, b₁, b₂, SS_res, SS_reg, F, s_res², s(b₁), s(b₂), t₁, t₂.