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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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