A friend tells you that you should never be a patient in a teaching hospital because the death rate among patients in teaching hospitals is higher than in other hospitals. (b) Write down a regression equation where the dependent variable is the death rate in a hospital, and one explanatory variable is whether a hospital is teaching or not. (c) Interpret the meaning of the regression coefficient on the explanatory variable. (d) What sign of the coefficient in (c) would correspond to your friend's story? (e) Do you agree with the interpretation of the coefficient your friend provides? If not, explain why not? (f) How can you change the regression equation to support your explanation in (e)?