Analysis of Regression and Correlation on Production of Sugarcane in the States of Paraná, São Paulo and Minas Gerais, Brazil

Brazil is one of the world's largest producers of sugarcane. Studies considering the production of a culture in informatic function of time allow to verify the behavior of it in a certain homologated. The aims of this work were to analyze the production of the states of Paraná, São Paulo and Minas Gerais, as well as the national production of sugarcane crops, based on statistical tools of regression analysis, and correlation. Sugar cane production data were collected from the Sugarcane Industry Union (UNICA). The work was done in the State University of Western Paraná, Post-Graduation in Agronomy, between July 2018 and December 2018. The data used were obtained from various institutions and, made available by the Sugarcane Industry Union (UNICA), constituting a historical series of 1980/81 to 2016/17. The regression models that best fit the states of Paraná and São Paulo were the linear model, with correlation equal to 0.9711 and 0.9934 respectively, while for Minas Gerais was the quadratic, with 0.9708 of correlation with the national production. The results obtained showed a greater similarity of the behavior of the production of São Paulo with the national, evidencing its importance in participating in the sugarcane agroindustry sector. Based on the regression and correlation analyses obtained, it was found that the state of Paraná and São Paulo obtained a behavior of sugarcane production like that of the national. In the sugarcane production of the state of Minas Gerais, the growth was observed only from the year 2000. Thus, it is concluded that the productions from the states of São Paulo and Paraná contributed more significantly to the national production of sugarcane in relation to the production of the state of Minas Gerais.