Three histograms are produced using geom_histogram with ten bins.
Once a Weighted Quantile Sum (WQS) regression is run, the hist.weights is a panel of histograms. These are distributions of the weight estimates to determine which chemicals are important in the mixture. Each weight is between 0 and 1 and sum to 1. The individual bootstrapped weight estimates were used to construct the overall chemical index, WQS.
The hist.beta1 is the distribution of the overall effect of the mixture on the outcome across bootstraps in the training dataset. Due to the constraint in WQS regression, these estimates are either all positive or all negative as dictated by b1.pos() argument in estimate.wqs. The patterns detected here might be helpful in adjusting the signal function, which is controlled by signal.fn() argument in estimate.wqs.