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10 pts Suppose a movie studio has surveyed 1,000 random 18-22 year olds to see if they've watched their latest movie, and they wish to

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10 pts Suppose a movie studio has surveyed 1,000 random 18-22 year olds to see if they've watched their latest movie, and they wish to estimate the following regression model using OLS: Watchedi = Bo + B1 Student; + 32 In(ParentalIncome; ) + B3 HoursWorkedi + ui H Where Watched; = 1 if person i has watched the movie (and = 0 otherwise), Student, = 1 if person i was a student (and = 0 otherwise), In(ParentalIncome; ) is the natural log of person i's parents' income, and Hours Worked; is the number of hours worked by person i over the past 7 days. Suppose that the studio wished to drop the HoursWorked, variable from their analysis to simplify interpretation and (possibly) decrease their standard errors, because what they are really interested in is the effect of parental income. Under which of the following circumstances would dropping this variable NOT result in a biased estimate of the B2 coefficient? O Dropping this won't bias the coefficient estimate for 82 as long as the coefficient estimate for B3 is statistically insignificant. K O Dropping this won't bias the coefficient estimate for 82 as long as Cov (ParentalIncome;, HoursWorked. ) = 0. Dropping this won't bias the coefficient estimate for B2 as long as Cov (ParentalIncome;, HoursWorked;) = 0, AND Cov ( HoursWorked, Watchedi) = 0

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