The Robins were put to the sword 4-1 at Rochdale on Friday night but responded superbly to dispose of Wanderers at Whaddon Road - Jake Taylor, Jeff Goulding, Darryl Duffy and Jermaine McGlashan getting on the scoresheet.
"It was a case of the boys putting right what was very evidently wrong on Friday night," Yates said. "We've had a tough couple of days since then but the boys have responded in the right way, as I knew they would. As bad as we were on Friday, we were good here."
Yates singled out midfielder Russ Penn for praise as he led Cheltenham forward from the centre of the pitch.
"Russ epitomised what I want from my team with his performance," Yates said. "We showed grit and determination and what it takes to win matches. On Friday we looked like we thought we just could turn up and win matches.
"We gifted Rochdale chances and didn't heed the warnings, carrying on in the same lethargic manner. But against Wycombe we showed aggression, tempo and more pressing in the opening two minutes than we did in 95 minutes at Rochdale.
"That's pleasing and when we play on the front foot and like we did here we look a half decent side. As long as we perform with same energy and purpose, we'll be fine."
Wycombe boss Gareth Ainsworth was determined to remain upbeat, despite his team's five-game unbeaten run coming to a shuddering halt.
"It was a disappointing day," he said. "We've done really well lately and we can't win every game. It's brought us back to down to earth and Cheltenham played very well.
"We had three second-year apprentices on the pitch at the end. I am still buzzing about the way we are, the way we do things and I am still confident that we can go to Plymouth on Saturday and give them a game, that's the way we are. There will be nobody down and there is plenty of passion in the dressing room."
- Sports & Recreation
- Jeff Goulding