Hi everyone,

This is my first post on this site. I hope my question is appropriate for this forum. I also must make clear from this first sentence that I am not a statistician (and that, therefore, my question might be naïve and my understanding of possible answers incomplete)

My question: I would be interested in building up an interpretable regression model for a response variable (Y) which is bounded (0,1). For this, I have 100 continuous predictors and a sample of 300 subjects (with no missing values at any variable).I have seen a similar question in this thread (https://stats.stackexchange.com/questions/120671/probability-distribution-of-y-in-regression). From that thread, it seems that a semiparametric model would allow me to estimate such a distribution. Therefore, I have consulted chapter 15 of Dr. Harrell’s book(*Regression modeling strategies*, 2nd edition). However, and due to my very limited knowledge on the matter, I have not been able to find the right information to build such a model. Moreover, I would be interested in identifying and ranking the most relevant predictors of Y (although on pages 117-118 of the same books, I have read of the difficulties of such ranks). Therefore, here I am kindly asking whether it could be possible that any of you would provide some help in this regard.

I am already thankful for any possible answer