Response Rate & Response Time are shown on your profile (as when you click on your name on the approved trip page).
The response time is calculated by your time used to response to message and request. The faster you response, the lower the response time.
The response rate is calculated by the number of times you response to messages and requests. The more often you response, the higher the response rate.
Why are they important?
This will show how active you are on TakeMeTour. Travelers may use this information to decide to send you a request or not.