Multiple Regression Three scholars are debating the same question addressed previously: when looking at U.S. states, what causes an increase in mass public liberalism? The debate focuses on three variables: urbanization, unionization, and education level. Scholar 1 believes that urbanization (percent of state population living in a city), is the most important factor, for two reasons. First, living in big cities causes people to become more liberal, and, second, because people who are liberal are more likely to attracted to living in big cities. Scholar 1 expects that mass public liberalism will increase with urbanization, even after controlling for other state-level variables such as unionization and education. Scholar 2 believes that unionization (percentage of a state's workforce that are union members) is more important cause of mass public liberalism than urbanization. Scholar 2 argues that as union members in a state increase the percent of liberals in the public will also increase. Scholar 2 argues that relationship between mass public liberalism and urbanization is spurious. \"Once you control for unionization, the relationship between mass public liberalism and urbanization will disappear." Scholar 3 disagrees about the causal importance of both urbanization and unionization, and argues that education is the only thing that matters. \"Going to college is what causes people to be liberal, not living in a city or being a union member: I expect there to be a positive relationship between mass public liberalism and education (percent state population with a B.A. degree or more). Further, I expect urbanization and unionization to have no effect on mass public liberalism.\" To resolve their debate, the three scholars can conduct a multiple regression analysis on data from the U.S. states testing the relationship between the dependent variable libpct_m (state mass public liberalism) and three independent variables: . urban (state population percent that lives in a city) - union_2016 (state population percent that is a member of union) . BA_or_more (state population percent with a B.A. degree or more) If Scholar 1 is correct, the regression coefficient for urban would be: OStatistically Significant ONot Statistically Significant ONegative If Scholar 2 is correct, the p-value for the union_2016 regression coefficient would be: OGreater than or equal to 0.05 OLess than 0.05 OGreater than or equal to 0.50 If Scholar 2 is correct, what would be the correct inferential decision for the mass public liberalism - urbanization relationship? Oa. Reject the Null Hypothesis Ob. Do Not Reject the Null Hypothesis If Scholar 3 is correct, the regression coefficient for BA_or_more would be: OStatistically Significant ONot Statistically Significant ONegative If Scholar 3 is correct, the p-value for the union_2016 regression coefficient would be: OGreater than or equal to 0.05 OLess than 0.05 OGreater than or equal to 0.50Use the multiple regression results below to evaluate which scholar's argument is most supported by the analysis: regress libpct_m urban union_2016 BA_or_more Source SS df MS Number of obs 11 50 F ( 3, 46) 18.35 Model 369 . 971498 123. 323833 Prob > F = 0 . 0000 Residual 309 . 139641 46 6. 72042699 R-squared 0 . 5448 Adj R-squared 0. 5151 Total 679 . 11114 49 13 . 859411 Root MSE = 2. 5924 libpct_m Coef. Std. Err. t P>It| [95% Conf. Interval] urban - . 0183718 . 0290985 -0.63 0. 531 - . 076944 . 0402004 union_2016 . 3263417 . 0847828 3 . 85 0 . 000 . 1556829 . 4970005 BA_or_more . 3765946 . 0944198 3. 99 0 . 000 . 1865375 . 5666517 cons 7. 589429 2. 349938 3.23 0. 002 2 . 85925 12 . 31961 According to the multiple regression results, the regression coefficient for urban is [three decimal places]: Based on the multiple regression results for the urban regression coefficient, what is the correct inferential decision about the relationship between urbanization and mass public liberalism? OReject the Null Hypothesis ODo Not Reject the Null HypothesisAccording to the regression coefficient for BA_or_more, there is, on average, I ercentage point |:| in mass public liberalism, for every 1-percentage point increase in population with a B - or more. Based on the multiple regression results for the BA_or_more regression coeiCIe , a is the correct inferential decision about the relationship between state education and mass public liberalism? OReject the Null Hypothesis ODo Not Reject the Null Hypothesis Which of the following is the correct interpretation of the adjusted-R2 for the multiple regression analysis? 06 percent of the variation in state mass public liberalism is explained by the variation in state urbanization, unionization, and education 05.15 percent of the variation in state mass public liberalism is explained by the variation in state urbanization, unionization, and education 051.5 percent of the variation in state mass public liberalism is explained by the variation in state urbanization, unionization, and education Based on the multiple regression results, which of the three scholar's arguments is most correct? OScholar 1 is correct OScholar 2 is correct OScholar 3 is correct ONone of them are correct