The determining function that drives movie ticket sales is given by the following equation: Sales_it = α₀ + α₁ HolidaySeason_it + α₂CastAwareness_it + U_it, where the unit of observation is a particular movie (i) in month (t). Suppose one wanted to use cumulative past movie appearances of the entire cast of a movie as a proxy for CastAwareness. Which of the following conditions would not be one required for this to be an adequate proxy variable? A) CumulativePastMovieAppearances to be correlated with CastAwareness. B) HolidaySeason, CastAwareness, and CumulativePastMovieAppearances to be uncorrelated with "other factors" (U_it). C) CastAwareness to be uncorrelated with HolidaySeason. D) HolidaySeason and CumulativePastMovieAppearances to be uncorrelated with "other factors" affecting CastAwareness.

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The condition that would not be required for cumulative past movie appearances to be an adequate proxy variable for CastAwareness is that CastAwareness should be uncorrelated with HolidaySeason. The other conditions - correlation between cumulative past movie appearances and CastAwareness, uncorrelation between HolidaySeason, CastAwareness, and CumulativePastMovieAppearances with "other factors," and uncorrelation between HolidaySeason and CumulativePastMovieAppearances with "other factors" affecting CastAwareness - are all necessary for cumulative past movie appearances to be an adequate proxy variable.

The Determining Function That Drives Movie Ticket Sales Is Given