I’ve been playing around with the numbers, and am able to get a decent projection model with relatively few assumptions. The model is not yet amazingly statistically significant. Nevertheless, the predictions are interesting.
The model assumes that the primary indicators of elimination are Gender, Slot, and whether or not the contestant scored in the bottom 3 on Dialidol and WNTS. You can download the full data set for Top 11 episodes (S4-S9; male is coded as 1, female as 0, and bottom 3 is 1 for yes, 0 for no). Now, we can use R to get a logistical fit