User Behavior Funnel Analysis with SQL: From Acquisition to Conversion,\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\n

Write SQL queries to analyze the user conversion funnel for [PRODUCT NAME], given the following event table:\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\n\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\nTable: \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\`user_events\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\`\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\n- event_id, user_id, event_type, event_timestamp, page_url, session_id, device_type, country\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\n\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\nEvent types: page_view, signup_started, signup_completed, onboarding_started, onboarding_completed, first_action, activated, subscribed\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\n\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\n**Query 1 — Funnel Step Volumes:**\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\n- Count of unique users at each funnel step\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\n- Conversion rate from previous step\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\n- Overall conversion rate (first step to last step)\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\n- Segmented by: device_type, country, acquisition channel (derived from page_url)\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\n\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\n**Query 2 — Drop-off Analysis:**\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\n- For each step, identify the most common last action before dropping off\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\n- Average time spent at each step before dropping off\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\n- Users who dropped off but returned later (session gap analysis)\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\n\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\n**Query 3 — Time-to-Convert:**\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\n- Median and average time between each funnel step\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\n- Users who convert within 24h vs. 1 week vs. 1 month\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\n- Time-to-convert by acquisition channel\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\n\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\n**Query 4 — Cohort Funnel Comparison:**\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\n- Funnel conversion rates by signup month cohort\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\n- Is the funnel improving or degrading over time?\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\n- Statistical significance of changes between cohorts\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\n\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\n**Query 5 — Predictive Signals:**\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\n- What behaviors in the first session predict eventual activation?\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\n- Correlation between number of events in first session and conversion\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\n- Users who complete [SPECIFIC ACTION] within first hour are [X]x more likely to convert\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\n\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\nSQL dialect: [PostgreSQL/MySQL/BigQuery]. Use CTEs for readability.