I like the clear way he describes an attitude to improving a product, using analytics as a tool not the director. The Lean Analytics Cycle: Metrics > Hypothesis > Experiment > Act – Occams Razor by Avinash Kaushik.
To improve something I see our role as a detective with analytics giving us useful clues. These clues help us, they are a starting point for us, to add intelligence and come up with an hypothesis, to make deductions that we can test. Analytics never give any answers in themselves.