1. An incident management system in a public transit network, comprising: a processor; and a computer readable medium containing a set of programming instructions configured to cause the processor to: receive public transit system incident data collected by one or more sensors of the public transit network; cause an electronic display device to segment a display screen into a plurality of cells so that each of the cells corresponds to one of a plurality of route segments and one of a plurality of time segments, so that each cell represents a portion of a route which one or more vehicles of the public transit network traveled over a period of time; determine, based on the incident data, a cumulative incident rate pertinent to each of the cells; identify a linear model comprising a set of parameters indicative of effects of one or more route segments and one or more time segments on the cumulative incident rate; use the linear model and the cumulative incident rate to estimate a future incident rate for each of the cells; and cause the electronic display device to output a graphical representation for each of the plurality of cells so that the graphical representation is indicative of the estimated future incident rate for the route segment and the time segment to which each cell corresponds.