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Bivariate Regression Many analysts believe that people who live in big cities are more likely to be liberal than those living outside of cities. Based
Bivariate Regression Many analysts believe that people who live in big cities are more likely to be liberal than those living outside of cities. Based on this idea, we can develop the following hypothesis about US. state-level liberal and urban population: in a comparison of states, those with higher urban population percentage will have higher liberal population percentage than those states with lower urban population. We can test this hypothesis with a bivariate regression using these variables: state liberal population percentage (libpct_m) and urban population percentage (urban); _cons = \"Constant." The results are below: regress libpct_l urban Number of obs = 50 - Fl 1, 49) = 5.55 Prob > F = 0.0227 R-squared = 0.1036 - Adj Rsquared = 0.0849 Root MSE = 3.5613 11bpct_m Coef. Std. Err. t P>|t| [95% Conf. Interval] urban .0904013 .0341397 2.36 0.023 .0117608 .1490419 _cons 13.90465 2.493022 5.69 0.000 9.960434 19.00997 According to the regression results, the constant is [fill in the blank, round up to two decimal places]: According to the regression results, the regression coefficient for urban is [fill in the blank, round up to two decimal places]: |:| According to the regression results, the p-value for the urban regression coefficient is: 00.000 00.034 00.023 00.1 49 According to the regression coefficient for urban, a 1-point increase in urban population percent is correlated with a 013.98 point increase in state liberal population percent 00.08 point increase in state liberal population percent 02.36 point increase in state liberal population percent 01 0.36 point increase in state liberal population percent According to the regression results for the constant, a state with an urban population percent of 0 will have a liberal population percent of: 00 08.04 010.36 013.98 According to the regression results, how much of the variation in state liberal population percent is explained by the variation in urban population percent? 02.27 percent of the variation 03.56 percent of the variation 08.49 percent of the variation 013.98 percent of the variation Based on your understanding of the regression results, the Null Hypothesis should be: ORejected ONot rejected ONot enough evidence to say Do the regression model results support the hypothesis that states with higher urban populations will have higher liberal populations, compared to states with lower urban populations? ONO, the results do not support the hypothesis OYes, the results support the hypothesis ONot enough evidence to say
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