If you're wondering if there is a direct correlation between work and fatigue that you can predict, no. Its going to be affected by so many factors from day to day, it is impossible to predict. Your body in general is constantly in flux based on so many of these factors (diet, sleep, physiology, life, etcetera).
However, the more experience you gain through lifting, the more you'll be able to sort of "predict" what you can do in the gym. For instance I know I can usually get about x amount of reps, using y amount of weight, on set number z. This is not always the case, I can show up and blow those numbers out of the water, or totally not get anywhere near them.
So, you just have to learn your own body and what outside influences affect your lifting.
Hope this helps.