Based On The Improved Grey Model Of Xinjiang GDP Empirical Analysis And Prediction

This article analyzes and predicts Xinjiang's GDP in the past decade through quantitative research methods.Provide reference suggestions for the construction of the “Belt and Road” in Xinjiang and the completion of a well-off society.The details are as follows:The first chapter mainly introduces the preliminary knowledge needed in this paper.It focuses on the traditional gray prediction GM(1,1)model,Lagrange interpolation,mean difference and Newton interpolation formula,differential and equidistant node interpolation,piecewise linear Interpolation,cubic spline interpolation and Gaussian quadrature formulas.The second chapter mainly introduces the construction of grey forecasting model,and the traditional grey forecasting model improved by Lagrange interpolation,Newton interpolation,piecewise linear interpolation and Gaussian quadrature formula,which provides a theoretical basis for Xinjiang GDP forecasting.The third chapter is mainly that we use the GDP of Xinjiang in the past ten years to predict the GDP of Xinjiang in the next three years.We use the piece wise linear Lagrangian interpolation gray prediction model,the piecewise linear Newton interpolation gray prediction model,the Gaussian interpolation orthogonalization model,and the gray Markov chain Gauss-Chebyshev orthogonalization prediction model to test.Which model is more optimal,and the Gauss-Chebyshev optimization background value prediction results have smaller errors and better results.We can see from the Xinjiang GDP results predicted by this method that by 2017,GDP in Xinjiang will exceed 1 trillion yuan,and by 2018 it will reach1,256.30 billion yuan,and Xinjiang can make full economic decisions based on the forecast results.In order to cooperate with the country to fully build a well-to-do society by 2020,make good preparations.