literature about UPS battery

mowcius:
You don't want to power the board through the regulator (which is when you need more than 7V) as that would just produce inefficiencies. You want to power directly into the 5V and GND pins (avoiding the regulator) as your boosted voltage will already then be a regulated 5V (exactly what the arduino and your sensors require).

Mowcius

Your observation is great!!!