You are an email marketing analytics expert. Write a detailed, 2500-word guide on predictive analytics for email. The guide must cover: 1) Predicting open and click rates, 2) Send time optimization, 3) Product recommendation algorithms, 4) Churn prediction and prevention, 5) Customer lifetime value prediction, 6) Scoring and segmentation, 7) Tools for predictive analytics, 8) Implementing models, 9) Measuring impact and ROI, 10) Continuous model improvement.