1. A speech recognition terminal device capable of communicating with a speech recognition server that carries out speech recognition, the speech recognition terminal device comprising: a speech acquisition device that acquires a speech command spoken by a user; a request device that requests the speech recognition server to carry out the speech recognition of the speech command acquired by the speech acquisition device; a prediction device that predicts a present delay time until a result of the speech recognition of the speech command requested from the request device is obtained from the speech recognition server; a determination device that determines a filler word with a time length in accordance with the present delay time predicted by the prediction device; a filler speaking device that outputs the filler word determined by the determination device as speech information during a waiting time until the result of the speech recognition requested from the request device is obtained from the speech recognition server; a response device that, when the result of the speech recognition is acquired from the speech recognition server, executes a process of responding to the user based on the acquired result of the speech recognition; and an acquiring device that acquires time information expressing past delay times when the communication has been carried out with the speech recognition server in past, wherein based on the past delay times expressed by the time information acquired by the acquisition device, the prediction device predicts the present delay time until the result of the speech recognition requested from the request device is obtained from the speech recognition server.