In: Statistics and Probability
You are a new hire at Laurel Woods Real Estate, which specializes in selling foreclosed homes via public auction. Your boss has asked you to use the following data (mortgage balance, monthly payments, payments made before default, and final auction price) on a random sample of recent sales in order to estimate what the actual auction price will be. Add a new variable that describes the potential interaction between the loan amount and the number of payments made.
Loan ($) | Payments ($) | Payments Made | Auction ($) |
85613 | 1003.1 | 1 | 28525 |
113255 | 929.31 | 36 | 40575 |
110315 | 749.28 | 7 | 45250 |
91935 | 726.17 | 8 | 16600 |
97600 | 831.85 | 21 | 40700 |
104400 | 983.27 | 18 | 63100 |
113800 | 1075.54 | 20 | 72600 |
116400 | 1087.16 | 35 | 72300 |
100000 | 900.01 | 33 | 58100 |
92800 | 683.11 | 36 | 37100 |
105200 | 915.24 | 34 | 52600 |
105900 | 905.67 | 38 | 51900 |
94700 | 810.7 | 25 | 43200 |
105600 | 891.33 | 20 | 52600 |
104100 | 864.38 | 7 | 42700 |
85700 | 1074.73 | 30 | 22200 |
113600 | 871.61 | 24 | 77000 |
119400 | 1021.23 | 58 | 69000 |
90600 | 836.46 | 3 | 35600 |
104500 | 1056.37 | 22 | 63000 |
1) Determine the regression equation.
Auction price= ( ) + ( )loan +( )monthly payment+ ( )payments made + ( )x1x3 |
2.Complete the following table. (Round your answers to 3 decimal places. Leave no cells blank - be certain to enter "0" wherever required. Negative amounts should be indicated by a minus sign.)
Predictor | Coefficient | SE Coefficient | t | p-value |
Constant | ||||
loan | ||||
monthly payment | ||||
payments made | ||||
(Loan)(payments made) |
3)Compute the t-value corresponding to the interaction term. (Round your answer to 2 decimal places. Negative amount should be indicated by a minus sign.)