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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. 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 null hypothesis for testing the joint significance of the variable Time and the interaction variable Time × Prime?
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A course of action or opinion that avoids extremes and adopts a moderate or balanced viewpoint.
Median Voter
A theoretical concept in political economy and public choice theory that suggests policies are determined by the preferences of the median voter when voters are positioned along a single policy dimension.
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Arrow Impossibility Theorem
A principle stating that no rank-order voting system can be designed that always satisfies three fairness criteria: non-dictatorship, unrestricted domain, and independence of irrelevant alternatives.
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