In this research paper, a new regression model for the transmuted Weibull distribution was proposed, and the parameters of the new model were estimated by using the Maximum likelihood method, the different types of residuals were calculated for the new model, such as Cox and Snell Residual, Pearson Residuals, Deviance component Residual, and the martingale residual. The proposed model was applied to a set of real data representing bad debit rate, and the proposed model was also compared with some other models such as the Kumaraswamy Lindley regression model and the LG Weibull regression model.