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A Researcher Wants to Examine How the Remaining Balance on $100,000

question 28

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A researcher wants to examine how the remaining balance on $100,000 loans taken 10 to 20 years ago depends on whether the loan was a prime or subprime loan.He collected a sample of 25 prime loans and 25 subprime loans and recorded the data in the following variables: Balance = the remaining amount of loan to be paid off (in $) ,
Time = the time elapsed from taking the loan,
Prime = a dummy variable assuming 1 for prime loans,and 0 for subprime loans.
The regression results obtained for the models:
Model A: Balance = β0 + β1Prime + ε
Model B: Balance = β0 + β1Time + β2Prime + β3Time × Prime + ε
Model C: Balance = β0 + β1Prime + β2Time × Prime + ε,
Are summarized in the following table. A researcher wants to examine how the remaining balance on $100,000 loans taken 10 to 20 years ago depends on whether the loan was a prime or subprime loan.He collected a sample of 25 prime loans and 25 subprime loans and recorded the data in the following variables: Balance = the remaining amount of loan to be paid off (in $) , Time = the time elapsed from taking the loan, Prime = a dummy variable assuming 1 for prime loans,and 0 for subprime loans. The regression results obtained for the models: Model A: Balance = β<sub>0</sub> + β<sub>1</sub>Prime + ε Model B: Balance = β<sub>0</sub> + β<sub>1</sub>Time + β<sub>2</sub>Prime + β<sub>3</sub>Time × Prime + ε Model C: Balance = β<sub>0</sub> + β<sub>1</sub>Prime + β<sub>2</sub>Time × Prime + ε, Are summarized in the following table.   Note: The values of relevant test statistics are shown in parentheses below the estimated coefficients. Using Model C,which of the following is the predicted balance on a $100,000 prime loan taken 15 years ago? A)  $88,020 B)  $69,486 C)  $74,591 D)  $82,183 Note: The values of relevant test statistics are shown in parentheses below the estimated coefficients.
Using Model C,which of the following is the predicted balance on a $100,000 prime loan taken 15 years ago?


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