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You collect data on 26 metropolitan areas to analyze average monthly debt payments in terms of income and the unemployment rate. A portion of the data is shown in the accompanying table; the complete data set can be found on the text website, labeled Debt Payments.
a. Estimate the model Debt = β0 + β1 lnc + β2 Unemp + ε. Is unemployment significant at the 5% level?
b. You are told that the unemployment rate might have a quadratic influence on monthly debt payments. Provide an intuitive justification for this claim.
c. Estimate Debt = β0 + β1 lnc + β2Unemp + β3 Unemp2 + ε to determine if Unemp and Unemp2 are jointly significant at the 5% level.
What is the p-value associated with the above sample result?
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