Based on the definition of criterion decision-making value and the method of linear regression, a linear regression
model to the objective function for multi-attribute decision making of large colony with some restrict conditions is proposed,which proves that the best solution to the model is existence and uniqueness. The best concentration and coordination to the criterion decision making value from every specialist are performed. From the discussion of the regression method, a set of arithmetics from Matlab to seek best solution to the model are obtained. An example demonstrates the effectiveness of the method.