Present Piracy Trends to a PM

You ran the analyses above and got two preliminary findings: - the monthly pirated-theme usage rate appears to rise from **0% to 100%** over the observed period - cumulative estimated revenue loss from pirated themes keeps increasing over time A product manager asks: **Is this actually a red flag, how should we interpret it, and what should we do next?** Explain how you would present these results to the PM. Your answer should cover: 1. Which piracy metric(s) you would show first and why: new pirated installs, active pirated shops, revenue loss, or another metric. 2. Why a change from 0% to 100% may or may not be meaningful, including the role of small denominators, changing merchant mix, detection bias, and seasonality. 3. Whether you would show **monthly loss**, **cumulative loss**, or both, and what each one does or does not tell the PM. 4. What caveats you would call out around `valid_to` being null, right-censoring, false positives in piracy detection, and segment-level effects that could create Simpson's paradox. 5. What additional analyses, slices, or follow-up actions you would recommend before the PM commits engineering or policy resources.