For what it's worth, I haven't been able to reproduce any of the touch issues that I've read other people complaining about, regardless of whether I'm actually holding the tablet or not. I have noticed that the touchscreen seems to be slightly less sensitive than the one on my first gen Nexus 7, but it's never been a problem for me in actual use.
YAMTT shows all 10 touch points while my N7 is laying on my bed, and I can draw basically perfect squares and circles, even with multiple fingers at once. I could just be lucky though.
Sent from my Nexus 7 using xda app-developers app
Suffice to say this morning I put it back in the box and sent it back for a full refund, it is only one week's old.
I must also say that we have at home two other tablets, a Samsung 10.1 and a Pipo M7 Pro, 2 iPhones, and 3 Android Smartphones (Samsung Galaxy S3, Zopo ZP300, Samsung Galaxy Mini) - none of them devices suffer from anything like this problem - absolutely not. I am saying this because in some thread another person claimed that these screen problems are "normal" and can happen to any "electrical/electronic" device - well, no, this is not true.