Data from the World Health Organization in 2013 were used to predict the life expectancy for men in a country from the life expectancy of women in the country.The resulting regression equation was Ŷ = 3.73 + 0.88(X).This regression equation implies that:
A) when a woman's life expectancy increases by 1 year, a man's life expectancy increases by 3.73 years.
B) women live 0.88 times as long as men do.
C) when a woman's life expectancy increases by 1 year, a man's life expectancy increases by 0.88 of a year.
D) the average life expectancy for men in some countries is 3.73.

Question

Quizplus · Accepted Answer

The regression equation states that for every 1 year increase in women's life expectancy (X), men's life expectancy (Ŷ) increases by 0.88 years. Therefore, choice C is the correct interpretation of the regression equation. A represents an incorrect interpretation as the coefficient for the intercept is not interpretable in this context. B is also incorrect as it implies that women have a shorter life expectancy than men, which is not supported by the regression equation. D is incorrect as the regression equation gives a prediction for the relationship between men's and women's life expectancies, not a fixed value for men's life expectancy.

Data from the World Health Organization in 2013 Were Used