APPLICATION OF THE NEWTON INTERPOLATION METHOD TO APPROXIMATE SOME REAL DATA

Abstract

In this paper, we use the Newton polynomial interpolation method to build approximate functions for some real data in Vietnam such as data on expenditure and income per capita, data on rice productivity and rice cultivation area. The data used in this paper are extracted from the General Statistics Office of Vietnam. We also develop some Matlab programs to find the coefficients of interpolation functions and calculate the values of the interpolation functions at specific points. Using the obtained interpolation function, some missing values in the data on income and expenditure per capita of Vietnam in 2019 and 2021 are estimated. We also estimated the rice productivity using the results of the interpolation polynomial. We found that the difference in average rice productivity between the calculated data from the interpolation function is quite small.