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 to estimate what the actual auction price will be.

Loan ($)	Payments ($)	Payments Made	Auction ($)
85608	1030.81	1	75525
114826	985.52	35	36175
110930	744.28	12	46250
117035	863.12	10	16600
97600	874.16	22	40700
104400	983.27	24	63100
113800	1075.54	18	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

Add a new variable that describes the potential interaction between the loan amount and the number of payments made. Then do a test of hypothesis to check if the interaction is significant.