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A Sociologist Examines the Relationship Between the Poverty Rate and Several

question 79

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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 y = β0 + β1Education + β2Income + β3Mortality + ε. The following ANOVA table shows a portion of the regression results. 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 (x<sub>1</sub>) , median income (x<sub>2</sub>, in $1000s) , and the mortality rate per 1,000 residents (x<sub>3</sub>) . He estimates the following model as y = β<sub>0</sub> + β<sub>1</sub>Education + β<sub>2</sub>Income + β<sub>3</sub>Mortality + ε. The following ANOVA table shows a portion of the regression results.   The coefficient of determination indicates that ________. A)  14% of the variation in the poverty rate is explained by the regression model. B)  14% of the variation in median incomes is explained by the sample regression equation. C)  86% of the variation in the poverty rate is explained by the sample regression equation. D)  86% of the variation in median incomes is explained by the sample regression equation. The coefficient of determination indicates that ________.


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