According to the Centers for Disease Control and Prevention, life expectancy at age 65 in America is about 18.7 years. Medical researchers have argued that while excessive drinking is detrimental to health, drinking a little alcohol every day, especially wine, may be associated with an increase in life expectancy. Others have also linked longevity with income and gender. The accompanying table shows a portion of data relating to the length of life after 65, average income
(in $1,000s) at a retirement age of 65, a dummy variable Woman that equals 1 if woman, and the average number of alcoholic drinks consumed per day. The entire data set, labeled Longevity, can be found on the text website.

a. Use the data to model life expectancy at 65 on the basis of Income, Woman, and Drinks.
b. Conduct a one-tailed test at α = 0.01 to determine if women live longer than men.
c. Estimate the life expectancy at 65 of a man with an income of $40,000 and an alcoholic consumption of two drinks per day; repeat the prediction for awoman.

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Life Income (in $1,000)Woman Drinks 19.00 19.30 64 43 20.24 36