Abstract: Mine bolter is widely used in drilling and supporting the roof and side wall of underground mine,which greatly alleviates the problem of heading-anchoring imbalance. In this study,the manipulator is taken as the re-search object,and the error analysis of the kinematics of the manipulator with uncertain interval parameters was carried out. Due to the limitation of differential method in the error analysis of manipulator kinematics,Chebyshev expansion func- tion algorithm was used to solve this problem. In the study,the scanning method ( SAS),tensor product ( CTP) and collocation method (CCM) were used to analyze the envelope of the response interval of the forward kinematics solu- tion matrix of the manipulator with uncertain parameters,and the time consumption of CPU was reduced. Among these methods,the CCM was found to be an effective method which results in a reduction of 97. 65% in time consumption.Furthermore,the theoretical values were compared with the upper and lower boundary response values calculated by the three interval proxy models. It was found that the boundary values calculated by CCM and SAS are closer to the theoretical values and resulting in smaller errors. Finally,the accuracy and effectiveness of the proposed algorithm were experimentally validated by the compact package on the prototype. The testing results show that the SAS and CCM lead to the small conservative estimates in the solution of upper and lower boundary values,while the CTP leads to a better estimate in the local solution. In conclusion,the study of response interval with uncertain parameters was developed as a new method for predicting the spatial trajectory tracking and location of the manipulator to ensure that the prediction error of the manipulator is minimized. This work provides a theoretical guidance for the optimal structure design and high-speed and high-precision control of the manipulator.