Supported by the following organizations
This is to certify that James Robert Titus successfully completed and received a passing grade in PH125.8x: Data Science: Building Machine Learning Models a course of study offered by HarvardX, an online learning initiative of Harvard University.
Noted by
Rafael Irizarry
Professor of Biostatistics Harvard T.H. Chan School of Public Health
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- Verified Certificate Issued December 16, 2025
- Valid Certificate ID 136069789a6f4e9c9d9ae5c86e9c26a6