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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 =

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

  • 15.85%

  • 17.75%

  • 19.85%

  • 21.95%

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