Análisis de correlación entre el año de fabricación y precio de un vehículo aplicando el método de mínimos cuadrados.

Abstract

Correlation studies will help establish the Association or present dependence between two variables. The general purpose of this research was to determine the correlation between the year manufacture and price of a vehicle by applying the method of least squares. Additionally, specific objectives are formulated to theoretically explain the method of least squares, estimated regression equation as well as the coefficients of determination and correlation; develop the estimated regression equation using the method of least squares as variables whereas the year manufacture and price of a vehicle; and analyze the results of the coefficients of determination and correlation among the variables of year manufacture and price a vehicle. This established a methodology with quantitative approach, where mathematical and statistical procedures were used to explain the subject of study; and the type of research was correlational. Case study was to investigate a series of data corresponding to the price of the car Chevrolet Aveo Activo 1.4l, within a time frame of 2008 until the year 2017. Once collected the data of proceeded to determine the regression equation estimated by the method of least squares, then we calculated coefficients of correlation and determination. The results revealed that, if there is a direct and strong relationship between the variables of year manufacturing and price of a vehicle, thus established equation allows future estimates of the price of a pre-owned vehicle based on a year of manufacturing.