Battery backup? UPS you mean?
For your configuration (only 1 GTX970), I would recommend going at least 650VA, I would 750VA as recommendation. You rig should consumes around 450W under normal load. Having UPS with higher VA rating is good but just do not empty your pocket too much.
The purpose of the UPS is only to buy you enough time to shutdown your PC properly.
It is not a replacement for normal electricity.
Normal UPS should be able to hold around 5-15mins, depending on the battery capacity not the power rating. You can also add extra battery to prolong the UPS battery capacity (not all UPS support this expansion method).
If you wanna buy an UPS, make sure you pick UPS with pure/true sinewave output. Many PSUs have problems with UPSs without that feature.
950W? 950VA you mean? This should be plenty for your rig regardless of your 1100W PSU.
If you see issues, the problem could be the sinewave output thing.