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Exhibit 17

question 77

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Exhibit 17.4.A researcher wants to examine how the remaining balance on $100,000 loans taken 10-20 years ago depends on whether the loan was a prime or sub-prime loan.He collected a sample of 25 prime loans and 25 sub-prime loans and records the data in the following variables: Balance = the remaining amount of loan to be paid off (in dollars) ,
Time = the time elapsed from taking the loan,
Prime = a dummy variable assuming 1 for prime loans,and 0 for sub-prime 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 below. Exhibit 17.4.A researcher wants to examine how the remaining balance on $100,000 loans taken 10-20 years ago depends on whether the loan was a prime or sub-prime loan.He collected a sample of 25 prime loans and 25 sub-prime loans and records the data in the following variables: Balance = the remaining amount of loan to be paid off (in dollars) , Time = the time elapsed from taking the loan, Prime = a dummy variable assuming 1 for prime loans,and 0 for sub-prime 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 below.   Note.The values of relevant test statistics are shown in parentheses below the estimated coefficients. Refer to Exhibit 17.4.Using Model B,what is the value of the test statistic for testing the joint significance of the variable Time and the interaction variable Time × Prime? A) -0.64 B) -5.36 C) 2.03 D) 2.74 Note.The values of relevant test statistics are shown in parentheses below the estimated coefficients.
Refer to Exhibit 17.4.Using Model B,what is the value of the test statistic for testing the joint significance of the variable Time and the interaction variable Time × Prime?


Definitions:

Money Wage Rate

The nominal rate of compensation employees receive for their labor per unit of time, not adjusted for inflation.

Levels of Production

The various stages through which the production of goods progresses, from raw materials to finished product.

Marginal Product Curve

A graphical representation that shows how the addition of a unit of labor or capital affects the output of production.

Money Wage Rate

The money wage rate refers to the nominal amount of money that employees receive in exchange for their labor, typically reported as an hourly or yearly salary.

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