Multiple linear regression (MLR) is widely used in statistical analysis. Based on common tools of the multiple linear regression in big data research, especially in the research of hierarchical structure data, a partial regression coefficient model is proposed here. The total partial regression coefficient is calculated by using each partial regression coefficient at the lower part and the hierarchical matrix between the lower and upper parts. It is validated that the new model is equivalent to the common models of multiple linear regression by the theoretical research and the real data. The new method can effectively solve the problem of privacy data in privacy protection research. Moreover, the new model can realize the parallel computation, which improves the capability of big data processing.