1. A control model updating device for calculating and updating a control model that is a function for approximating that which is to be controlled, doing so using analysis data that is provided in order to update a control model for that which is to be controlled, comprising: a control model calculating portion calculating the control model using the analysis data; a control model updating portion updating through accepting a control model calculated by the control model calculating portion; and a data suitability evaluating portion evaluating the suitability of the analysis data; wherein: the data suitability evaluating portion comprises: a characteristic prior knowledge storing portion storing prior knowledge regarding the characteristics obtained in advance regarding that which is to be controlled; a quadratic polynomial calculating portion calculating a quadratic polynomial that approximates the analysis data using a quadratic function; and a characteristic evaluating portion comparing the characteristics of the quadratic polynomial, calculated by the quadratic polynomial calculating portion, to the prior knowledge stored in the characteristic prior knowledge storing portion; and wherein the control model updating portion updates the control model when there is a match between the two in the comparison in the characteristic evaluating portion.