The heteroscedastic regression model was established and the heteroscedastic regression analysis method was presented for mixed data composed of complete data

type-Ⅰ censored data and type-Ⅱ censored data from the location-scale distribution. The best unbiased estimations of regression coefficients

as well as the confidence limits of the location parameter and scale parameter were given. Furthermore

the point estimations and confidence limits of percentiles were obtained. Thus

the traditional multiple regression analysis method which is only suitable to the complete data from normal distribution can be extended to the cases of heteroscedastic mixed data and the location-scale distribution. So the presented method has a broad range of promising applications.