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24 A sociologist examines the relationship between the poverty rate and several socioeconomic factors. For the 50 states and the District of Columbia (n =
24 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 = Bo + 81 Education + 82 Income + 83 Mortality + E. The following ANOVA table shows a portion of the regression results. df SS MS F 3.33 Regression 415.3 138.43 92. 3 points Residual 47 70.6 1.5 Total 50 01:12:51 485 .9 Coefficients Standard Error t-stat p-value Intercept 60.7 4.2 14.45 1. 65E-16 Education -0.57 0 . 06 -9.5 5. 45E-10 Income eBook -0.5 0.04 -12.5 6. 02E-10 Morality 0.07 0. 12 0.58 0 . 6438 What is the predicted poverty rate for a state where 45% of the population has at least a high school education, the median income is $43,000, and the mortality rate is 12 per 1,000 residents? Multiple Choice O 12.49% O 14.39% O 16.49% O 18.59% Exam 3 (Ch. 11-15)
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