Question

ies yuu t pret and comimuhicate the findings of two linear regression models. The data is from an article that studies the relationship between salaries of legislators and representation of the working-classes in state legislatures in the US. Background If politicians in the United States were paid better, would more working-class people become politicians? It is often argued that if politicians are paid too little, then it is economically too difficult for lower-income citizens to hold positions of office. This could mean that low-paying political jobs lead to the under-representation of working-class people in politics. On the other hand, if politicians are paid more, then holding political office might become more attractive to wealthy poople, and this might also lead to the under-representation of working-class people. To investigate these two contrasting hypothcses, we will examine data on the salaries paid in different state legislatures in the US and the percentage of legislators who come from working-class Dataset The dataset includes salaries of state legislators from all 50 states in the US. It also includes variables measuring information unique to each state such as the length of the legislative session and the number of staffers in each logislature. The occupational backgrounds of legislators are also included, as well demographic data on the makeup of the population in each state. A detailed description of the dataset is provided in the table below Variable pet worker salary session len staff sixe tern limits income ncome t pct union pct blacik pct urban ption of legisiators from working unds Average salary of legislators in $100,000s Length of legislative session (in days) verage number o Bin Average per-capita income (in $1000s time permanent staffers in the legislature ndica tor (0 or 1) of term limits for state ators ty | Percentage of income to top 1% of earners Percentage of workers belonging to a lab Percentage of state residents who are Bl Percentage of state residents living in urban areas Percent of state our union rate ving the poverty line 3a. Multiple Linear Regression This question requires you to interpret and communicate the findings of two linear regression models from Table 1 Model 1 presents results from a simple linear regression, where the independent variable is salary. Model 2 presents results from a multiple linear regression which includes a number of explanatory variables. The dependent variable for both models is the percentage of legislators from working-class backgrounds. Your task is to interpret the models and write up the results as if you were writing the discussion for publication in a major journal/book. Interpret the two models statistically and substantively, and in comparison to one another. You should focus on determining which variables have coefficients that are significantly different from zero, and what the effect sizes mean in substantive terms. Simply listing the significant effects will be insufficient to receive full marks. You should also comment on how the estimates differ between the two models, and on the fit statistics of the two models.

Answer 1