Multiple linear regression 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 in this paper. The total partial regression coefficient is calculated by using each partial regression coefficient at the lower part and the hierarchical matrix between the lower part and upper part. This paper validates that the new model is equivalent to the common models of multiple linear regression from the theoretical research and the real data. The new method can effectively solve the problem of privacy data in privacy protection research. Meanwhile, the new model can realize the parallel computation, which improves the capability of big data processing.