RT Book, Section A1 Johnson, Ken B. SR Print(0) ID 1103963220 T1 Origin of Mathematical Models for Anesthetic Drug–Drug Interactions T2 Clinical Pharmacology for Anesthesiology YR 2015 FD 2015 PB McGraw-Hill Education PP New York, NY SN 9780071736169 LK accessanesthesiology.mhmedical.com/content.aspx?aid=1103963220 RD 2024/04/16 AB Modeling is the technique of defining a mathematical equation that fits a data set as accurately as possible. Linear regression could be considered as a rudimentary form of modeling. A linear regression analysis of a data set determines the best-fitting linear correlation between data couples by minimizing the sum of squares of all perpendicular distances from each observation to the proposed line (least-squares principle). As such, the optimal value for parameters a and b in an equation of the form y = a ⋅ x + b can be determined from an observational data set. The resulting linear equation describes the correlation of the data couples within the population with the least possible scatter (or residual error). Consequently, the resulting equation can be used to predict prospectively which y can be expected for every known x, with the smallest possible error.