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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.   What is the value of the test statistic for testing H<sub>0</sub>: β<sub>2</sub> = β<sub>3</sub> = 0 against H<sub>A</sub>: β<sub>2</sub> ≠ 0 or β<sub>3</sub> ≠ 0 in 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 is the value of the test statistic for testing H0: β2 = β3 = 0 against HA: β2 ≠ 0 or β3 ≠ 0 in the model Debt = β0 + β1Age + β2Age2+ β3Age3 + ε?


Definitions:

Middle-Class Consumer Society

A societal structure characterized by a dominant middle-class population engaging in significant consumption of goods and services, typically associated with economic growth and stability.

The Lonely Crowd

A sociological analysis by David Riesman that examines changes in the character of American social life and the shift from inner-directed to other-directed personalities.

Individuality

The quality or character of being an individual; distinctiveness and uniqueness that separates one person from others.

Below the Poverty Line

The condition of having an income insufficient for the basic needs of food, shelter, and clothing, as defined by official government standards.

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