THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

question 10

Essay

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Suppose you are interested in determining the factors that influence the time required to prepare a tax return,and developed the model: Y = β₀ + β₁X₁ + β₂X₂ + β₃X₃ + β₄X₄ + ε,where Y is the amount of time (in minutes),X₁ is the income of the individual (in thousands of dollars),X₂ is the age of the individual,X₃ is the number of people living in the household,and X₄ is a dummy variable that takes the value 1,if the individual owns his or her own home.After interviewing 40 accountants,you get the following results:
= 17.2 + 3.8x₁ - 1.04x₂ + 2.15x₃ + 15.1x₄,
= 5.3,
= 0.13,
= 0.33,
= 1.51,
= 4.7,SSR = 164.2,SSE = 200.7,and R² = 0.45.
-Test H₀ : β₃ = 0 against H₁ : β₃ ≠ 0 and interpret your result.

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Definitions:

Investment Center

A division or unit within a company that is responsible for its own revenues, expenses, and assets, and its performance is evaluated on its return on investment.

Generates Revenue

Activities or processes that result in the earning of income for a business through the sale of goods or services.

Incurs Costs

To undergo or suffer expenses during the execution of activities or operations.

Profit Center

A business segment or department within an organization that is responsible for generating its own revenue and thereby directly impacting profitability.