Predictive analytics can help address current QA challenges by prioritizing test cases, optimizing resource utilization, and generating insightful reports. Techniques like text diversity-based prioritization, topic diversity-based prioritization, and history-based clustering can be used for test case prioritization in regression testing. Inputs like change information, historical fault detection data, coverage data, requirements, and test scripts can be analyzed. Tools like R, Statpro, Excel, and LibreOffice can be used to perform predictive analytics in QA.