How to provide site analytics to a blog network

So we’re created a multisite wordpress install with different customers creating sites on it. Up to now we’ve been creating a Google Analytics account for each site and linking that up using one of the analytics plugins. But this is becoming laborious and it’s just not sustainable in the long term.

Is there a way we can offer site analytics to our customers that can be setup automatically, without us having to manually create accounts on something like Google Analytics. It can be hosted or an installed product & I don’t mind paying for it if it solves the problem