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The development process of a complex product is often related to many different domains, such as mechanics, dynamics, and cybernetics, hydraulics, and usually in separate locations. While applying traditional design method to solve multidisciplinary design problems, frequently redesign may be taken place due to the fact that the inherent relations between parameters and product specifications can not be represented intuitively and quantitatively. This paper analyzes the mapping relationship between parameters and product specifications according to statistical theory. And by applying the idea of regression analysis, the method of supporting multidisciplinary collaborative design based on the regression relevant model is proposed, with which inherent relationship between parameters and product specifications can be represented quantitatively. Finally, the headstock of the grinding machine is taken as an example to validate the validity of the method.