I'm working on a problem which is a multiple equation. I have a group of people and each person in the group is working on different tasks (e.g. n tasks in total). Each person in this group is working on multiple tasks and complete them. I'd like to find an estimation for the time each type of task takes.
I have equations like below:
#of days person i worked = time(task1) * #task of type 1 completed + time(task2) * #task of type 2 completed +...+ time(task n) * #task of type n completed
The only unknown in these equations are time (task i).
I have one equation per person in the group (there are 100k people). Does it make sense to use regression to find time (task i)?