THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

question 156

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.You develop the model Y = β₀ + β₁X₁ + β₂X₂ + β₃


+ β₄X₃ + β₅X₄ + β₆(X₁ ∙ X₄) + 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 obtained
= 17.2 + 0.38x₁ + 1.04x₂ - 0.04
+ 2.15x₃ + 0.11x₄ - 0.22(x₁ ∙ x₄),
= 5.3,
= 0.13,
= 0.33,
= 1.51,
= 4.7,
= 0.05,and
= 0.07.
-Test the hypothesis H₀ : β₃ = 0 and interpret your result.

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Definitions:

Depleted Water

Water resources that have been significantly used up or reduced, commonly due to human consumption, pollution, or climate change.

Algae Blooms

Rapid increase in the population of algae in aquatic ecosystems, often due to excess nutrients, which can deplete oxygen and harm aquatic life.

Inorganic Plant Nutrients

Minerals required by plants for growth that do not contain carbon, including elements like nitrogen, phosphorus, and potassium.

Organic Wastes

Biodegradable waste that comes from plants or animals, often used for composting or as a renewable energy source through biomass conversion.