THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

question 195

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 : β₄ = 0 and interpret your result.

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Definitions:

Individual

A single, separate organism or entity, often referenced in the context of discussing human beings and their unique characteristics.

Behavior

The range of actions and mannerisms made by individuals, groups, or systems, in conjunction with themselves or their environment, which includes the other systems or organisms around as well as the physical environment.

Applied Science

The use of scientific knowledge and principles to solve practical problems, often leading to innovations in technology, medicine, and other fields.

Engineering

The applied science of energy and matter.