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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 + B1 Education + B2 Income + B3 Mortality + ɛ. The following ANOVA table shows a portion of the regression results. df S MS F Regression 3 416.6 138.87 90.8 Residual 47 71.7 1.53 Total 50 488.3 Coefficients Standard Error t-stat p-value Intercept 63.2 4.6 13.74 1.65E-16 Education -0.52 0.02 -26 5.45E-10 Income -0.4 0.04 -10 6.02E-10 Morality 0.05 0.13 0.38 0.6438 What is the predicted poverty rate for a state where 50% of the population has at least a high school education, the median income is $48,000, and the mortality rate is 15 per 1,000 residents? Multiple Choice 22.95% 20.85%

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 + B1 Education + B2 Income + B3 Mortality + ɛ. The following ANOVA table shows a portion of the regression results. df S MS F Regression 3 416.6 138.87 90.8 Residual 47 71.7 1.53 Total 50 488.3 Coefficients Standard Error t-stat p-value Intercept 63.2 4.6 13.74 1.65E-16 Education -0.52 0.02 -26 5.45E-10 Income -0.4 0.04 -10 6.02E-10 Morality 0.05 0.13 0.38 0.6438 What is the predicted poverty rate for a state where 50% of the population has at least a high school education, the median income is $48,000, and the mortality rate is 15 per 1,000 residents? Multiple Choice 22.95% 20.85%

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.3: Lines
Problem 92E
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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 + B1 Education + B2 Income + B3 Mortality + ɛ. The following ANOVA table shows a portion of the regression results. df S MS F Regression 3 416.6 138.87 90.8 Residual 47 71.7 1.53 Total 50 488.3 Coefficients Standard Error t-stat p-value Intercept 63.2 4.6 13.74 1.65E-16 Education -0.52 0.02 -26 5.45E-10 Income -0.4 0.04 -10 6.02E-10 Morality 0.05 0.13 0.38 0.6438 What is the predicted poverty rate for a state where 50% of the population has at least a high school education, the median income is $48,000, and the mortality rate is 15 per 1,000 residents? Multiple Choice 22.95% 20.85%
Transcribed Image Text: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 + B1 Education + B2 Income + B3 Mortality + ɛ. The following ANOVA table shows a portion of the regression results. df S MS F Regression 3 416.6 138.87 90.8 Residual 47 71.7 1.53 Total 50 488.3 Coefficients Standard Error t-stat p-value Intercept 63.2 4.6 13.74 1.65E-16 Education -0.52 0.02 -26 5.45E-10 Income -0.4 0.04 -10 6.02E-10 Morality 0.05 0.13 0.38 0.6438 What is the predicted poverty rate for a state where 50% of the population has at least a high school education, the median income is $48,000, and the mortality rate is 15 per 1,000 residents? Multiple Choice 22.95% 20.85%
What is the predicted poverty rate for a state where 50% of the population has at least a high school education, the median income is $48,000, and the mortality rate is 15 per 1,000 residents? Multiple Choice 22.95% 20.85% 16.85% 18.75%
Transcribed Image Text:What is the predicted poverty rate for a state where 50% of the population has at least a high school education, the median income is $48,000, and the mortality rate is 15 per 1,000 residents? Multiple Choice 22.95% 20.85% 16.85% 18.75%
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