A test for serial independence of regression errors is proposed that it consisten in the direction of serial independence alternative of first order. The test of statistic is a funtion of a Hoeffiding-Blum-Kiefer-Rosenblatt type of empirical process, based on A test for serial independence of regression errors is proposed that it consisten in the direction of serial independence alternative of first order. The test of statistic is a funtion of a Hoeffiding-Blum-Kiefer-Rosenblatt type of empirical process, based on residuals. The resultant statistic converges, surpresingly to the same limited distribution as the corresponding statistic base in true errors[+][-]