The system can analyze the video recording of examinees answering questions.

THe system can analyze on videotape the perormance of examinees answering questions.

网友用way作analyze的宾语，则为：

The system can analyze on videotape the way in which examinees answer questions.

这样语义成了系统分析考生回答问题的方式。从逻辑分析来看，应该用“表现”performance做analyze的宾语为宜。