soc question 4

Problem SET 4 (25 points): Using the 1998 GSS, a researcher is interested in sociodemographic a) Is this overall model statistically significant? How can you tell? (5 points) characteristics predicting the log odds of supporting the suicide of someone who has an incurable disease. She models five independent variables. For religious affiliation (Protestant, Catholic, or other religion), she included two dummy variables: X1 = Protestant and X2 = Catholic. The omitted variable (reference group) for religious affiliation is other religion (neither Protestant nor Catholic) She also includes a dummy variable for gender: X3 = Female (female = 1, male = 0). For continuous independent variables, she includes: X4 = education (measured in years of school completed) b) Is the individual slope for each predictor significant? How can you tell? Note: you should Xs = political views (1 = extremely liberal, 2 = liberal, 3 = slightly liberal, 4 = moderate, 5 = explain whether all five predictors are statistically significant or not. (10 points; 2 points for slightly conservative, 6 = conservative, 7 = extremely conservative) each) The dependent variable Y = whether a respondent would support the suicide of an individual with an incurable diseases (1 = support, 0 = not support). The STATA regression readout is below. . logit suicidel protestant catholic Female educ polviews Iteration 0: log likelihood = -1091.5662 Iteration 1: log likelihood = -1003.0764 Iteration 2: log likelihood = -1001.5651 c) Write down the regression equation in log odds and interpret odds of being Catholic. Iteration 3: log likelihood = -1001.5623 Hint: the STATA output shows the estimated log odds of each predictor. Convert log odds Iteration 4: log likelihood = -1001.5623 to odds and interpret for Catholic. (5 points) Logistic regression Number of obs 1, 675 LR chi2(5) 180.01 Prob > chi2 0. 0000 Log likelihood = -1001.5623 Pseudo R2 0. 0825 suicide1 Coef. Std. Err. Z P> |21 [95% Conf. Interval] protestant -1. 124264 1642547 -6. 84 0.000 -1. 446197 -. 8023308 d) What is the probability that the following person would support the suicide of someone catholic -. 780433 . 183474 -4.25 0. 000 -1. 140036 -. 420831 with an incurable disease: a Catholic man who has 16 years of education and extremely Female . 308892 109789 -2. 81 0. 005 -. 5240746 -. 0937097 liberal political views? Hint: Convert log odds to probability. (5 points) duc . 101392 0189984 5.34 0. 000 . 0641559 . 138628 polviews . 298693 0409986 -7.29 0. 000 . 3790497 -. 2183381 _cons 1.505299 . 338429 4. 45 0.000 8419906 2. 168608 D DD X 9