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...


A sociologist examines the relationship between the poverty rate and several socioeconomic factors. For the 50 states and the District of Columbia (n =<br>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),<br>and the mortality rate per 1,000 residents (x3). He estimates the following model as = Bo + B1 Education + B2 Income + B3 Mortality + ɛ. The<br>following ANOVA table shows a portion of the regression results.<br>df<br>S<br>MS<br>F<br>Regression<br>3<br>416.6<br>138.87<br>90.8<br>Residual<br>47<br>71.7<br>1.53<br>Total<br>50<br>488.3<br>Coefficients<br>Standard Error<br>t-stat<br>p-value<br>Intercept<br>63.2<br>4.6<br>13.74<br>1.65E-16<br>Education<br>-0.52<br>0.02<br>-26<br>5.45E-10<br>Income<br>-0.4<br>0.04<br>-10<br>6.02E-10<br>Morality<br>0.05<br>0.13<br>0.38<br>0.6438<br>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<br>mortality rate is 15 per 1,000 residents?<br>Multiple Choice<br>22.95%<br>20.85%<br>

Extracted 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<br>mortality rate is 15 per 1,000 residents?<br>Multiple Choice<br>22.95%<br>20.85%<br>16.85%<br>18.75%<br>

Extracted 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%

Jun 11, 2022
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