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Thirty Employed Single Individuals Were Randomly Selected to Examine the Relationship

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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. 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.   If you impose the restrictions β<sub>2</sub> = β<sub>3</sub> = 0 on the model Debt = β<sub>0</sub> + β<sub>1</sub>Age + β<sub>2</sub>Age<sup>2 </sup><sup>+ β</sup><sub>3</sub>Age<sup>3 </sup>+ ε, what will be the sum of the squared errors (SSE<sub>R</sub>) computed for the restricted model? If you impose the restrictions β2 = β3 = 0 on the model Debt = β0 + β1Age + β2Age2 + β3Age3 + ε, what will be the sum of the squared errors (SSER) computed for the restricted model?


Definitions:

Balance Sheet

A financial statement that summarizes a company's assets, liabilities, and shareholders' equity at a specific point in time, giving a snapshot of its financial condition.

Unearned Liability

A liability on the balance sheet representing revenues received but not yet earned, typically because the service or good has not yet been delivered.

Zero-Coupon Bonds

Bonds that do not pay periodic interest payments, instead being sold at a discount from their face value and maturing at said value.

Discount Amortization

Discount Amortization refers to the process of gradually reducing the book value of a bond discount over the life of the bond until it reaches its par value.

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