Modelling the first 100 digits of the number Pi (π) using the objective regressive regression methodology

Osés, RR and Osés, LC and del, Valle LD and Fimia, DR (2025) Modelling the first 100 digits of the number Pi (π) using the objective regressive regression methodology. International Journal of Science and Research Archive, 14 (2). pp. 543-548. ISSN 2582-8185

Every year the existence of the number π is celebrated around the world, new applications are presented and festivities are held. The aim of this research is to model the first 100 digits of the number π using the ROR methodology. Through this research we will see a new definition of this number and we will try to encourage undergraduate students to be motivated to study mathematics, we will also see a modelling of the first 100 digits of π. As a result, the first 100 digits of the number π can be modelled and predicted explaining 88 % of variability, with an error of 2.74. By modelling the Objective Regressive Regression (ORR), a model with more variables that also explain a high level of variance is also obtained. The short-term model depends on the variables sawtooth and inverted sawtooth, which are characteristic of the ROR model, and also depends on the number of digits two steps back linearly.