Due to the error of data and calculation,there are certain errors to the results in regression computation. Commonly,we use the least square method or the least one-power method,which is completed by adopting the objective function as minimum. If the error of objective function is permitted to change in a specified range,then the obtained parameters are also corresponding to a variable range. In this paper,the sensitivity of parameters estimation for two variables regression is discussed mainly. When the corrected relationship between series is not intimate,the error may affect largely on the results.