Question 1 You are given the following information related to the linear model: $$ y=\beta_{0}+\beta_{1} x_{1}+\beta_{2} x_{2}+\beta_{3} x_{3}+\epsilon $$ - $x_{1}=\gamma_{0}+\gamma_{1} x_{2}+\gamma_{3} x_{3}+e^{(1)}$ \begin{tabular}{|C|CC|} \hline Source & Degrees of Freedom & Sum of Squares \hline Regression & 2 & $24.74$ \hline Error & 503 & $226.34$ \hline \end{tabular - $x_{2}=\delta_{n}+\delta_{1} x_{1}+\delta_{2} x_{3}+\epsilon^{(2)}$ \begin{tabular}{|cc|c|} \hline Source & Degrees of Freedom & Sum of Squares \hline Regression & 2 & $3.73$ \hline Error & 503 & $3.04$ \hline \end{tabular} - $x_{3}=\eta_{0}+\eta_{1} x_{1}+\eta_{2} x_{2}+\epsilon^{(3)}$ \begin{tabular}{|C|CC|} \hline Source & Degrees of Freedom & Sum of Squares Thline Regression & 2 & 214,258 \hline Error & 503 & 85,883 \hline \end{tabular) Calculate the variable inflation factor for the variable which exhibits the greatest collinearity in the original model. SP.JG.005