I've been looking online for a while now, trying to find definitions and examples on these two terms but I cannot seem to get a straight answer and I am simply getting more confused.
Could someone explain the difference to me. A nice and descriptive article would help.
I haven't found any link containing the description of "Completion time", nor I read that in my OS course. I think you are inquiring about the Turnaround time.
Turnaround time - Time required for a particular process to complete, from submission time to completion. It is equal to the sum total of Waiting time and Execution time.
Response time - The time taken in a program from the issuance of a command to the commence of a response to that command.(i.e., the time-interval between submission of a request, and the first response to that request, not the output .)