Data driven three-phase Fundamental Diagram for traffic modeling Jiah Song, jiahsong@umich.edu Department of Mathematics, University of Michigan Romesh Saigal, rsaigal@umich.edu Department of Industrial and Operations Engineering, University of Michigan Kang-Ching Chu, kcchu@umich.edu Department of Mechanical Engineering, University of Michigan Qi Luo, luoqi@umich.edu Department of Industrial and Operations Engineering, University of Michigan May 31, 2016