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Exhibit 16

Question 84

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Exhibit 16.6.Thirty employed single individuals were randomly selected to examine the relationship between their age (Age)and their credit card debt (Debt)expressed as a percentage of their annual income.Three polynomial models were applied and the following table summarizes Excel's regression results. Exhibit 16.6.Thirty employed single individuals were randomly selected to examine the relationship between their age (Age)and their credit card debt (Debt)expressed as a percentage of their annual income.Three polynomial models were applied and the following table summarizes Excel's regression results.   Refer to Exhibit 16.6.Suppose the restriction β<sub>3</sub> = 0 is imposed on the cubic model Debt = β<sub>0</sub> + β<sub>1</sub>Age + β<sub>2</sub>Age<sup>2</sup>+ β<sub>3</sub>Age<sup>3</sup> + ε.What regression equation is obtained under this restriction? Refer to Exhibit 16.6.Suppose the restriction β3 = 0 is imposed on the cubic model Debt = β0 + β1Age + β2Age2+ β3Age3 + ε.What regression equation is obtained under this restriction?

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