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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 + 83 Mortality + e. The following ANOVA table shows a portion of the regression results. df SS MS F Regression 3 415.3 138.43 92.3 Residual 47 70.6 1.5 Total 50 485.9 Coefficients Standard Error t-stat р-value Intercept 60.7 4.2 14.45 1.65E-16 Education -0.57 0.06 -9.5 5.45E-10 Income -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?

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 + 83 Mortality + e. The following ANOVA table shows a portion of the regression results. df SS MS F Regression 3 415.3 138.43 92.3 Residual 47 70.6 1.5 Total 50 485.9 Coefficients Standard Error t-stat р-value Intercept 60.7 4.2 14.45 1.65E-16 Education -0.57 0.06 -9.5 5.45E-10 Income -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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 18HP
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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 Cholce 12.49% 14.39% 16.49% 18.59%
Transcribed Image Text: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 Cholce 12.49% 14.39% 16.49% 18.59%
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 = B0 + B1 Education + 82 Income + 83 Mortality + 2. The following ANOVA table shows a portion of the regression results. df MS F Regression 3 415.3 138.43 92.3 Residual 47 70.6 1.5 Total 50 485.9 Coefficients Standard Error t-stat р-value Intercept 60.7 4.2 14.45 1.65E-16 Education -0.57 0.06 -9.5 5.45E-10 Income -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?
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 = B0 + B1 Education + 82 Income + 83 Mortality + 2. The following ANOVA table shows a portion of the regression results. df MS F Regression 3 415.3 138.43 92.3 Residual 47 70.6 1.5 Total 50 485.9 Coefficients Standard Error t-stat р-value Intercept 60.7 4.2 14.45 1.65E-16 Education -0.57 0.06 -9.5 5.45E-10 Income -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?
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