Which quantitative variables has the strongest correlation with price? a. Lot size b. Age c. Living area d. Fireplace If you were to run a simple regression using Living Area to predict Price, what would R squared be? a. 55.52% b. 50.91% C. 71.35% d. 55.67% Report the regression equation of the model. Round the coefficients (betas) to the nearest integer. \begin{tabular}{|c|c|c|c|c|c|c|} \hline \multicolumn{5}{|c|}{ Summary of Fit } & & \\ \hline & \multicolumn{3}{|l|}{0.556725} \\ \hline & \multicolumn{3}{|l|}{0.555185} \\ \hline & & & & 65729.93 & & \\ \hline \multicolumn{4}{|c|}{\begin{tabular}{l} Mean of Response \\ Mean Muare tror \end{tabular}} & \multicolumn{3}{|l|}{\begin{tabular}{l} 65729.93 \\ 211545.1 \end{tabular}} \\ \hline \multicolumn{4}{|c|}{ Observations (or Sum Wgts) } & 1734 & & \\ \hline \multicolumn{7}{|c|}{ Analysis of Variance } \\ \hline Source & DF & \multicolumn{2}{|c|}{\begin{tabular}{l} Sum of \\ Squares \end{tabular}} & Mean Square & \multicolumn{2}{|c|}{ F Ratio } \\ \hline Model & 6 & \multicolumn{2}{|c|}{9.371e+12} & 1.562e+12 & \\ \hline Error & 17277 & \multicolumn{2}{|c|}{7.4614e+12} & 4.3204et & \multicolumn{2}{|c|}{ Prob >F} \\ \hline C. Total & 17331 & 1.6832 & 32e+13 & & <.0001 parameter estimates term estimate std error ror t ratio prob>t & VIF \\ \hline Intercept & \multicolumn{2}{|c|}{17423.26} & 5329.528 & 3.27 & 0.0011 & \\ \hline LotSize & \multicolumn{2}{|c|}{71878278} & 2296.848 & 3.13 & \multicolumn{2}{|c|}{0.00181.0315671} \\ \hline Waterfront & \multicolumn{2}{|c|}{16972823} & 17051.98 & 9.95 & \multirow{2}{*}{\multicolumn{2}{|c|}{\begin{tabular}{lr} <.0001 age central.air living.area fireplaces time left i residual by predicted plot price an analyst wants to predict housing prices in upstate new york. she collected a sample of houses. the variables include: sales house dollars lot size land acres waterfront if property contains otherwise years central air has conditioning ving area living square feet place number test whether model significant explanatory power. show your evidence including hypothesis>