A national homebuilder builds single-family homes and condominium-style townhouses. The accompanying dataset provides information on the selling price, lot cost, and type of home for closings during one month. Complete parts a through c. Click the icon to view the house sales data. a. Develop a multiple regression model for sales price as a function of lot cost and type of home without any interaction term. Create a dummy variable named "Townhouse", where it is equal to 1 when Type = "Townhouse" and 0 otherwise. Determine the coefficients of the regression equation. Sales Price =+() Lot Cost +() Townhouse (Round the constant and coefficient of Townhouse to the nearest integer as needed. Round all other values to two decimal places as needed.) \begin{tabular}{|l|l|r|r|} & \multicolumn{1}{c|}{ A } & \multicolumn{1}{c|}{ B } & \multicolumn{1}{c|}{ C } \\ \cline { 2 - 4 } 1 & \multicolumn{1}{|c|}{ Type } & Sales_Price & Lot_Cost \\ \hline 2 & Townhouse & 114740 & 21700 \\ \hline 3 & Single Family & 138530 & 26550 \\ \hline 4 & Townhouse & 149905 & 25550 \\ \hline 5 & Single Family & 172000 & 26200 \\ \hline 6 & Townhouse & 183916 & 46025 \\ \hline 7 & Townhouse & 189390 & 28000 \\ \hline 8 & Single Family & 191120 & 36000 \\ \hline 1 & Townhouse & 198898 & 46025 \\ \hline 1 & Townhouse & 205076 & 46025 \\ 11 & Single Family & 207821 & 40299 \\ \hline 12 & Single Family & 216205 & 37500 \\ \hline 13 & Townhouse & 252800 & 74400 \\ \hline 14 & Single Family & 257000 & 44198 \\ \hline 15 & Single Family & 270000 & 44344 \\ \hline 16 & Single Family & 270500 & 42099 \\ \hline 17 & Single Family & 273105 & 46000 \\ \hline 18 & Single Family & 279720 & 45650 \\ \hline 19 & Single Family & 296990 & 58000 \\ \hline 20 & Single Family & 303500 & 60000 \\ \hline 21 & Single Family & 309487 & 46850 \\ \hline 22 & Single Family & 314898 & 41768 \\ \hline 23 & Single Family & 321602 & 83300 \\ \hline 24 & Single Family & 326412 & 63523 \\ \hline 25 & Single Family & 339374 & 71449 \\ \hline 27 & Single Family & 339380 & 50150 \\ \hline 2 & Single Family & 340065 & 55850 \\ \hline 2 & Single Family & 356117 & 57219 \\ \hline & Single Family & 361949 & 51591 \\ \hline & Single Family & 434426 & 58422 \\ \hline & Single Family & 494820 & 85122 \\ \hline \end{tabular}