Exhibit 14-10.A sociologist examines the relationship between the poverty rate and several socioeconomic factors.For the 50 states and the District of Columbia (n = 51),he collects data on the poverty rate (y,in %),the percent of the population with at least a high school education (x₁),median income (x₂,in $1000s),and the mortality rate per 1,000 residents (x₃).He estimates the following model: .The following table shows a portion of the regression results. Notes: Data obtained from the Statistical Abstract of the US for the year 2007. Refer to Exhibit 14-10.What is the poverty rate for a state where 85% of the population has at least a high school education,the median income is $50,000,and the mortality rate is 10 per 1000 residents?

Question

Quizplus · Accepted Answer

Plug in the given values into the estimated regression model: y = 22.8 - 0.47(x₁) + 0.15(x₂) + 0.10(x₃) y = 22.8 - 0.47(85) + 0.15(50) + 0.10(10) y = 14.6 Therefore, the estimated poverty rate for a state with these characteristics is 14.6%. The best choice is B.