# 基于PCA和灰色系统的住房价格建模Housing Price Modeling with PCA and Gray System

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In this paper, we analyze the factors which affect the house prices from two aspects: housing supply and demand. The approach of principal component analysis is taken to remove the linear correlation between the factors and to reduce the number of factors. Furthermore, we use the least squares method to set up the linear regression equation between prices and affecting factors. At last, we get gray forecasting model of factors by introducing gray prediction method of the gray system theory and substitute the predictive value of the factors into the regression equation to predict the house prices.

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