Visual interfaces for telephone calls

A method for communications over one or more wide-band networks in a system having an analytics server and having a data communications server configured to interface with remotely-situated client entities and with the data communications server configured as a private branch exchange (PBX) for data communications routing on behalf of the remotely-situated client entities, the method for processing incoming communication using devices that have graphical display capacities, in which the method comprises:

• sending to an analytics server, in response to the data communications server receiving incoming data communications from at least one user device having audio-communication circuitry, communications event messages corresponding to communications routed by the data communications server;
• from the analytics server, receiving communications summary metrics that relate to the communications event messages by characterizing the communications routed by the data communications server via a plurality of call-related parameters;
• modifying, in response to the communications summary metrics, a set of data that specifies graphical menu options for functions supported by the data communications server;
• causing, in response to an indication of a selection of one of the graphical menu options, a communications transfer for an incoming communication;
• and
• providing, based upon the communications summary metrics, predictive information about needs related to the incoming communication, wherein the set of data includes informational data that corresponds to the predictive information.