Statistical analysis to validate mathematical model parameters using least squares method
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Keywords
Parameter estimation, linear regression, least squares, standard deviation
Abstract
This paper focus on the estimation of parameters in frequentist statistics. Through linear regressions, parameters associated with deterministic mathematical models are estimated. To this end, the least squares method is used. In addition, for the validation of the estimated parameters by means of the least squares method, a statistical analysis is carried out in which the coefficient of determination, standard deviation, the t-student test are included. In other words, this article aims to give the reader a starting point to apply a simple and very efficient method to estimate parameters in mathematical models.
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