Supported by the following organizations
This is to certify that Jacqueline Williams successfully completed and received a passing grade in PH125.1x: Data Science: R Basics 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 September 18, 2025
- Valid Certificate ID 4b698e403e2447d0b364da61e2bd9766