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. a 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 coefcients of the regression equation. Sales Price = | +{ 3- Lot Cost+{ )-Townhouse (Type integers or decimals rounded to two decimal places as needed} b. What is the predicted sales price for either a single-family home or a townhouse with a lot cost of $31,900? b.1 The predicted sales price for e singlefamily home is $ (Round to the nearest cent as needed.) b.2 The predicted price for a townhouse is SD. (Round to the nearest cent as needed.) Type Sales Price Lot Cost Townhouse $114,740 $21,700 Single Family $138,530 $26,550 Townhouse $149,905 $25,550 Single Family $172,000 $26,200 Townhouse $183,916 $46,025 Townhouse $189,390 $28,000 Single Family $191,120 $36,000 Townhouse $198,898 $46,025 Townhouse $205,076 $46,025 Single Family $207,821 $40,299 Single Family $216,205 $37,500 Townhouse $252,800 $74,400 Single Family $257,000 $44,198 Single Family $270,000 $44,344 Single Family $270,500 $42,099 Single Family $273, 105 $46,000 Single Family $279,720 $45,650 Single Family $296,990 $58,000 Single Family $303,500 $60,000 Single Family $309,487 $46,850 Single Family $314,898 $41,768 Single Family $321,602 $83,300 Single Family $326,412 $63,523 Single Family $339,374 $71,449 Single Family $339,380 $50,150 Single Family $340,065 $55,850 Single Family $356,117 $57,219 Single Family $361,949 $51,591 Single Family $434,426 $58,422 Single Family $494,820 $85,122