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

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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 ($)
85600 985.87 1 16900
115300 902.56 33 75800
103100 736.28 6 43900
84600 945.45 9 16600
97600 821.07 24 40700
104400 983.27 26 63100
113800 1075.54 19 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

GIVEN - ALL CORRECT:

  • Auction price =(118,929.46)+1.63 Loan +2.06 Monthly payment +50.34 Payments Made.
  • ANOVA

     
    Source DF SS MS F p-value
    Regression 3 5,966,725,061 1,988,908,354 39.83 0
    Residual Error 16 798,944,439 49,934,027    
    Total 19 6,765,669,500    
  • The excel data table is attached at the bottom (It is also correct).

FIND:

 State the decision rule to test the significance of each regression coefficient. Use α = 0.05.

  1. Reject t< _____________ or t> ______________
Predictor
Coefficient
SE Coefficient
p-value
Constant
(118,929.461)
19,733.607
(6.027)
0.000
Loan
1.627
0.181
8.993
1.180
Monthly Payment
2.062
14.948
0.138
0.892
Payments made
50.338
134.914
0.373
0.714
Transcribed Image Text:Predictor Coefficient SE Coefficient p-value Constant (118,929.461) 19,733.607 (6.027) 0.000 Loan 1.627 0.181 8.993 1.180 Monthly Payment 2.062 14.948 0.138 0.892 Payments made 50.338 134.914 0.373 0.714
Expert Solution
Step 1

From the given information, the estimated auction price is,

Auction price =(118,929.46)+1.63 Loan +2.06 Monthly payment +50.34 Payments Made.

The Anova table is displayed below .

  • ANOVA

     
    Source DF SS MS F p-value
    Regression 3 5,966,725,061 1,988,908,354 39.83 0
    Residual Error 16 798,944,439 49,934,027    
    Total 19 6,765,669,500    
  •  
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