Question
A sociologist examines the relationship between the poverty rate and several socioeconomic factors. For the 50 states and the District of Columbia ( n =
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 = 0 + 1 Education + 2 Income + 3 Mortality + . The following ANOVA table shows a portion of the regression results.
df | SS | MS | F | |
Regression | 3 | 415.4 | 138.47 | 98.9 |
Residual | 47 | 65.9 | 1.4 | |
Total | 50 | 481.3 | ||
Coefficients | Standard Error | t-stat | p-value | |
Intercept | 58.4 | 5.8 | 10.07 | 1.65E-16 |
Education | 0.59 | 0.03 | 19.67 | 5.45E-10 |
Income | 0.4 | 0.01 | 40 | 6.02E-10 |
Morality | 0.15 | 0.11 | 1.36 | 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 $39,000, and the mortality rate is 10 per 1,000 residents?
Multiple Choice
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15.85%
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17.75%
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19.85%
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21.95%
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