Hey, I have an iPhone 5 64Gb just updated to iOS 7.1 (11D167) . Various apps all have the same scroll problem. It's amost like 1.5 cm from the the bottom of my screen, an invisable line across the phone where swiping across up or down causes the the normal smooth motion to be jumpy. This has only just happened after the latest iOS update. I have also noticed touch senstivity issues when using the keyboard in some older apps causing key strokes to be missed or even double pressed when only pressing once, and number keys to not work also. My current work around is to type the txt or numbers into notes app, then cut or copy the txt or numbers into the app i'm using. My other work around for the scroll issue, is to use asistive touch and create a scroll gesture.
Hope there is a fix for this soon. I'm not totally convinced this is a hardware issue. it's too coincidental these issues just happend to occur after the latest update. Gone through the normal power cycle, soft reboot holding home button and power button for 10 secs, but makes no difference.
I've turned back on the' automatically send' diagnostics & usage setting in general settings hoping this will contribute to a fix.