You can’t tell if the data is “fairly random” or not just based on that plot though. Once a blue dot of finite size plots over another, a density of two dots nearly on top of one another will appear identically to the human eye as 10 or 100 or any N > 1 dots plotted almost entirely on top of another.

Unfortunately, OP doesn’t provide anything close to enough information for anyone here to truly be able to diagnose the problem (what is the theoretical relationship between these inputs/outputs?), or even if there is a problem; i.e., what would we estimate the Bayes Error Rate to be for this problem and what loss would that yield?