In a previous paper, the empirical extended Barus viscosity and theoretical van der Waals type viscosity equations were derived to estimate high-pressure viscosity. Furthermore, various analyses using statistical methods, such as machine learning, are becoming popular. Thus, predicting physical properties without it being based on an experiment or theory are becoming possible. In this study, the possibility of estimating the high-pressure viscosity of a lubricant via statistical analysis is investigated. Hence, a quadratic polynomial multiple regression viscosity equation with two variables is derived. Although this equation lacks physical meaning, it can provide viscosity via automatic calculation using the Excel regression analysis. Additionally, this equation is equivalent to the extended Barus viscosity and van der Waals type viscosity equations and has a small standard deviation of error% in the interpolation region. Hence, this equation is highly effective and exhibits estimation ability equivalent to those of the extended Barus viscosity and van der Waals type viscosity equations. Thus, the proposed equation provides a different perspective on the physical properties of viscosity. These results indicate that the prediction of high-pressure viscosity equivalent to the empirical and theoretical equations is possible via statistical analysis using a multiple regression equation.
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