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 as = β0 + β1 Education + β2 Income + β3 Mortality + ε. The following ANOVA table shows a portion of the regression results.
df SS MS F
Regression 3 417.3 139.1 94.6
Residual 47 69.1 ? Total 50 486.4 Coefficients Standard Error t-stat p-value
Intercept 60.3 4.8 12.47 1.65E-16
Education â0.43 0.05 â7.78 5.45E-10
Income â0.20 0.03 â7.75 6.02E-10
Mortality 0.08 0.17 0.47 0.6438
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 1,000 residents?
18.6%
16.6%
14.6%
12.6%