4. Looking first at Model 1 in Table 1, what is the beta coefficient for population? The stars indicate that the variable is statistically significant. What is the level of significance? What does this mean? That is, interpret what this beta coefficient is telling us. If the stars were not there, and you needed to conduct your own t-test, how would you do that? Note: you do not need to do the t-test, just explain to me the steps you would take. 5. In Model 2 of Table 1, what is the alpha or constant? In this specific case, what does this tell us? 6. In Model 3 of Table 1, what is the beta for percent nationals from African countries? If I asked you to construct the 95% confidence interval for this beta, what general steps would you take? NOTE: I AM NOT ASKING YOU TO DO THE CALCULATION; I AM ASKING YOU TO DESCRIBE THE STEPS. What would that 95% confidence interval tell us? Would 0 be in your interval? Why or why not? HINT: YOU DO NOT NEED TO ACTUALLY CONSTRUCT THE INTERVAL TO KNOW WHETHER OR NOT IT CONTAINS O. 7. In Model 4 of Table 1, what is the R'? Interpret what this means. Compare this to the R from Model 1 and explain why they are different. 3. In Model 6, Afonso adds the variable percent Roma # percent social assistance recipients. Why does the author add this variable? What does it tell us? Note: this relationship is illustrated in Figure 3 and explained in the text.Table I. Ordinary least squares (OLS) regression estimates predicting radical-right vote shares across Portuguese municipalities in the 2021 presidential election. (1) (2) (3) (4) (5) (6) Model I SE Model 2 SE Model 3 SE Model 4 SE Model 5 SE Model 6 SE Population (thousands) -0.0163** (0.00554) -0.0153** (0.00538) -0.0145#* (0.00446) -0.0134** (0.00512) -0.0133** (0.00513) -0.0125* (0.00505) % secondary education as 0.564** (0.0903) 0.707*** (0.1 16) 0.456* * (0.0829) 0.574* * (0.1 16) 0.572* * (0.1 16) 0.595** (0.1 14) highest diploma Elderly ratio 0.0108*** (0.00249) 0.01 19*** (0.00286) 0.00633* (0.00206) 0.00854** (0.00282) 0.00856** (0.00282) 0.0100*** (0.00281) Crime rate 0.0370 (0.0231) 0.0176 (0.0262) 0.0081 1 (0.0216) -0.00151 (0.0254) -0.00557 (0.0259) 0.0135 (0.0255) Population density -0.000622 (0.000353) -0.000974** (0.000330) -0.000744* (0.000303) -0.000853* (0.000334) -0.000841* (0.000334) -0.000805* (0.000329) Incidence of COVID (log) 1.375*** (0.259) 1.32|** (0.353) 0.997*** (0.209) 1.045* (0.332) 1.008** (0.336) 1.071** (0.327) % social assistance recipients 1.194* (0.139) 0.505* (0.162) 0.542** (0.167) 0.234 (0.182) Mean monthly income 2018 0.00131 (0.00155) -0.00105 (0.00 147) -0.00102 (0.00 148) -0.00 1 10 (0.00145) Change in mean monthly 0.0410 (0.0316) -0.0179 (0.0299) -0.0208 (0.0301) -0.0197 (0.0294) income (2010-2018) % unemployed in population -0.325 (0.179) -0.0737 (0.173) -0.154 (0.198) 0.0554 (0.175) Change in unemployment 0.356 (0.195) 0.0817 (0.185) 0.127 (0.193) -0.0380 (0.186) rate 2015-2020 Median house price (2020) 0.000324 (0.0009 10) -0.000161 (0.000961) -0.0000537 (0.000970) -0.000312 (0.000947) Change in house prices -0.00493 (0.00640) -0.00810 (0.00593) -0.00775 (0.00594) -0.01 13 2017-2020 (0.00592) Percent Roma (2014) 2.406*#* (0.188) 1.806*#* (0.254) 1.785*** (0.256) 1.056** (0.351) % foreign nationals 2019 0.0243 (0.0447) 0.0453 (0.0612) -0.0125 (0.0919) 0.0187 (0.0609) Change in proportion of -0.001 14 (0.00163) -0.000902 (0.00185) -0.000666 (0.00188) -0.00129 (0.00183) foreign nationals 2010-2019 % National from African 0.477 (0.328) 0.483 (0.348) 0.475 (0.348) 0.540 (0.343) countries % foreign nationals 2019 # 0.008 16 (0.00968) % unemployed in population Percent Roma (2014) # % 0. 122** (0.0400) social assistance recipients Constant -6.314** (2.153) -7.386* (3.693) -1.947 (1.837) -3.232 (3.485) -2.586 (3.570) -3.888 (3.436) Observations 300 272 300 272 272 272 R2 0.267 0.434 0.544 0.538 0.540 0.555 Standard errors (SEs) in parentheses *p