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We model coordination and coregulation patterns in 33 triads engaged in collaboratively solving a challenging computer programming task for approximately 20 minutes. Our goal is to prospectively model speech rate (words/sec) – an important signal of turn taking and active participation – of one teammate (A or B or C) from time lagged nonverbal signals (speech rate and acoustic-prosodic features) of the other two (i.e., A + B → C; A + C → B; B + C → A) and task-related context features. We trained feed-forward neural networks (FFNNs) and long short- term memory recurrent neural networks (LSTMs) using group- level nested cross-validation. LSTMs outperformed FFNNs and a chance baseline and could predict speech rate up to 6s into the future. A multimodal combination of speech rate, acoustic- prosodic, and task context features outperformed unimodal and bimodal signals. The extent to which the models could predict an individual’s speech rate was positively related to that individual’s scores on a subsequent posttest, suggesting a link between coordination/coregulation and collaborative learning outcomes. We discuss applications of the models for real-time systems that monitor the collaborative process and intervene to promote positive collaborative outcomes.