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Thirty Employed Single Individuals Were Randomly Selected to Examine the Relationship

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Essay

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.   Suppose the restriction β<sub>3</sub> = 0 is imposed on the cubic regression 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 regression equation is obtained under this restriction? Suppose the restriction β3 = 0 is imposed on the cubic regression model Debt = β0+ β1Age + β2Age2+ β3Age3+ ε. What regression equation is obtained under this restriction?


Definitions:

Willingness To Pay

This is the maximum amount a consumer is prepared to spend on a good or service, reflecting the value the consumer places on it.

Demand Curve

A graphical representation showing the relationship between the quantity of a good consumers are willing and able to purchase and its price.

Supply Curve

A graphical representation showing the relationship between the price of a good and the quantity of that good that suppliers are willing to offer for sale.

Consumer Surplus

The imbalance between the funds consumers are willing to dedicate to a good or service and the funds they actually dedicate.

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