Difference between Ramp up Response time and TPS

RampUp: The time to be taken by the threads to start
Response Time: The time taken by the request to provide a response
TPS: As the name says transactions per second. The number of requests processed per second.

Is this statement correct ? - if TPS increased then the response time will be decreased..

It is also one of the factors on which response time depends. Network is also one of the factors for the higher response time.

In my experince, as TPS goes up, Response Time goes up as well.  This is in relation to Num of Vusers, Server Reasources (CPU, Ram, etc...)

The more number of users are accessing the app, the more are the chances of increased response time.