My iPhone screen keeps jumping on its own?

It only started happening yesterday and my screen just keeps moving on its own when I try controlling it. Like i was on Facebook and I put my finger on a button an the screen was moving up and down, now it's doing it on everything
I've closed the apps and that didn't do anything and then I turned my phone off and on and still nothing!
What do I do?

Have you dropped it recently? It could be hardware damage that's causing it to basically malfunction and respond incorrectly.
My best advice: Get it checked by an Apple technician at the Genius Bar at the Apple Store