THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

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.