厦门GDP和人口的房价关系探究——基于切比雪夫多项式和库兹涅茨曲线

A Study on the Relationship between GDP and Housing Price in Xiamen

摘要: 房价是人们日常生活中最为关注的话题之一。中国房价排名前五的城市中，除厦门外，2019年上半年GDP均已突破万亿元大关。那么，房价能否反映一个城市的经济发展水平？GDP的未来变化趋势是否也能够预测出房价的未来走向？此外，厦门未来人口的增长是否也会影响房价的走势？本文尝试从两个角度预测房价，通过python编写程序，运用切比雪夫多项式对厦门市人口与GDP进行预测，将所得到的人口与GDP的预测值作为自变量，进而对房价进行两次单独的预测。

Abstract: House price is one of the most concerned topics in people’s daily life. Among the top five cities in China’s housing prices, except Xiamen, the GDP in the first half of 2019 has exceeded trillion Yuan. So, can house prices reflect the economic development level of a city? Can the future trend of GDP also predict the future trend of house prices? In addition, will the future population growth of Xiamen also affect the trend of housing prices? In this paper, we try to predict house prices from two perspectives. This article attempts to predict housing prices from two perspectives. We use Python programs and Chebyshev polynomials to predict Xiamen’s population and GDP, and use the obtained population and GDP prediction values as independent variables, and then make two separate predictions of housing prices.