"It was very important we got the response," said McCoist.
"One of the key areas - our centre-halves were very influential in the game the positions they took up."
McCoist praised Scotland forward Steven Naismith who has scored eight goals this season.
"He (Naismith) is on a great run at the moment and long may that continue," said McCoist.
"I just the feel the important thing is the timing of Steven's runs."