Figure 4: Trace plots of the MCMC draws at the 75th quantile for the homeownership application. 21 0 5000 10000 15000 −1 0 1 2 log Age 0 5000 10000 15000 −0.5 0 0.5 log Income 0 5000 10000 15000 −0.2 0 0.2 Household Size 0 5000 10000 15000 −0.5 0 0.5 1 1.5 Female 0 5000 10000 15000 −2 −1 0 Post−Bachelors 0 5000 10000 15000 −2 −1 0 1 Bachelors 0 5000 10000 15000 −1 0 1 Below Bachelors 0 5000 10000 15000 −1 0 1 Full−time 0 5000 10000 15000 −1 0 1 Part−time 0 5000 10000 15000 −1 0 1 White 0 5000 10000 15000 −1 0 1 African−American 0 5000 10000 15000 −2 0 2 Northeast 0 5000 10000 15000 −1 0 1 2 West 0 5000 10000 15000 −1 0 1 2 South 0 5000 10000 15000 −1 0 1 Fin−Worse 0 5000 10000 15000 −1 0 1 Fin−Same 0 5000 10000 15000 0.4 0.6 0.8 1 1.2 0 5000 10000 15000 −3 −2 −1 0