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A Sociologist Examines the Relationship Between the Poverty Rate and Several

Question 117

Multiple Choice

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 + β1 Education + β2 Income + β3 Mortality + 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 the regression model is explained by the variation in the poverty rate. C)  86% of the variation in the poverty rate is explained by the regression model. D)  86% of the variation in the regression model is explained by the variation in the poverty rate. 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 the regression model is explained by the variation in the poverty rate.
C) 86% of the variation in the poverty rate is explained by the regression model.
D) 86% of the variation in the regression model is explained by the variation in the poverty rate.

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