The Predicted price for a townhouse

Points: 1.2 of 6 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. BE Click the icon to view the house sales data. X House Sales Data 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. Type Sales Price Lot Cost Sales Price = 110262 + ( 3.68419 ) - Lot Cost + ( -75,103 ) . Townhouse Townhouse $1 12,740 $20,700 (Round the constant and coefficient of Townhouse to the nearest integer as needed. Round all other values to two decimal places as needed.) Single Family $136,530 $25,500 Townhouse $147,905 $24.650 b. Determine if an interaction exists between lot cost and type of home and find the best model. Use a = 0.1 as the level of significance. Single Family $170,000 $25,200 Townhouse $181,916 $45,025 First determine whether an interaction exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. Townhouse $187,390 $27,000 Single Family $189,120 $35,000 A. An interaction exists because the p-value of the variable Townhouse is , which is greater than a. Townhouse $196,898 $45,025 (Type an integer or a decimal rounded to three decimal places as needed.) Townhouse $203,076 $45,025 Single Family $205,821 $39.299 O B. An interaction exists because the p-value of the variable Lot Cost is , which is greater than a. Single Family $214,205 $36,500 (Type an integer or a decimal rounded to three decimal places as needed.) Townhouse $250,800 $73,400 C. An interaction exists because the p-value of the variable Lot Cost . Townhouse is 0.091, which is less than a. Single Family $255.000 $43, 198 Single Family $268,000 $43.344 (Type an integer or a decimal rounded to three decimal places as needed.) Single Family $268,500 $41 099 OD. No interaction exists because the p-value is less than a for all of the independent variables. Single Family $271, 105 $45,000 Single Family $277,720 $44,650 Now identify the best model and determine the coefficients of the regression equation. Select the correct choice below and fill in the answer boxes to complete your choice Single Family $294,990 $57,000 (Round the constant and coefficient of Townhouse to the nearest integer as needed. Round all other values to two decimal places as needed.) Single Family $301,500 $59,000 Single Family $307,387 $45,850 X A. Sales Price = + () . Townhouse + ( ) . Lot Cost . Townhouse Single Family $312.898 $40,768 Single Family $319,602 $82 250 O B. Sales Price = +() - Lot Cost + () . Townhouse Single Family $324,412 $62.523 Single Family $337,374 $70,399 *C. Sales Price = 80,967 + (15,016 ) - Townhouse + (4.27 ) - Lot Cost + ( -2.10 ) . Lot Cost . Townhouse Single Family $337,380 $49, 150 Single Family $338,065 $54,850 c. What is the predicted sales price for either a single-family home or a townhouse with a lot cost of $30,300? Single Family $354,117 $56,219 Single Family $359.949 $50,591 The predicted sales price for a single-family home is $ 210, 367.15. Single Family $432.426 $57,422 (Round to the nearest cent as needed.) Single Family $492,820 $84, 122 The predicted price for a townhouse is $ (Round to the nearest cent as needed.) Print Done Help me sol