A researcher, using a sample of lottery players, regresses life expectancy on a dummy variable for randomly winning a jackpot in the lottery. The researcher considers adding education as another explanatory variable. What is likely to be true?
A. The coefficient on winning a jackpot will change because education affects life expectancy.
B. The coefficient on winning a jackpot will not change because education does not affect life expectancy.
C. The coefficient on winning a jackpot will not change because education and winning a jackpot are not correlated.
D. The coefficient on winning a jackpot will not change because education and life expectancy are not correlated.
Answer: C. The coefficient on winning a jackpot will not change because education and winning a jackpot are not correlated.