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Question 12 (10 points) Fit a logistic regression model between Y and X1, X2, and obtain the 98% confidence interval for the odds ratio between
Question 12 (10 points) Fit a logistic regression model between Y and X1, X2, and obtain the 98% confidence interval for the odds ratio between Y and age of oldest family automobile controlling for annual family income. Which of the following is correct? 0 (-6.6591, -0.6196) 0 (-9.6292, 0.1506) 0 (0.00246, 0.1330) 0 (-0.3088, 1.5061) 0 (0.734, 4.509) For Questions 11-12 The LOGISTIC Procedure Model Information Data Set WORK.LAB4 Response Variable y Number of Response Levels 2 Model binary logit Optimization Technique Fisher's scoring Number of Observations Read 33 Number of Observations Used 33 Response Profile Ordered Total Value y Frequency 1 0 19 2 1 14 Probability modeled is y=1. Model Convergence Status Convergence criterion (GCONV=1E-8) satisfied. Model Fit Statistics Intercept and Criterion Intercept Only Covariates AIC 46.987 42.690 SC 48.484 47.179 -2 Log L 44.987 36.690 Testing Global Null Hypothesis: BETA=0 Test Chi-Square DF Pr > ChiSq Likelihood Ratio 8.2976 2 0.0158 Score 7.4450 2 0.0242 Wald 5.8280 2 0.0543 Analysis of Maximum Likelihood Estimates Standard Wald Parameter DF Estimate Error Chi-Square Pr > ChiSq Intercept -4.7393 2.1020 5.0838 0.0242 X1 0.0677 0.0281 5.8280 0.0158 X2 0.5986 0.3901 2.3553 0.1249Odds Ratio Estimates 98% Wald Effect Point Estimate Confidence Limits x1 1.070 1.002 1.142 x2 1.820 0.734 4.509 Association of Predicted Probabilities and Observed Responses pData/Local/Temp/SAS%20Temporary%20Files/ TD5772 E Percent Concordant 75.6 Somers' D 0.515 Percent Discordant 24.1 Gamma 0.517 Percent Tied 0.4 Tau-a 0.259 Pairs 266 c 0.758 Parameter Estimates and Wald Confidence Intervals Parameter Estimate 98% Confidence Limits Intercept -4.7393 -9.6292 0. 1506 x1 0.0677 0.00246 0.1330 x2 0.5986 -0.3088 1.5061
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