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Least-Squares Analysis of Data with Uncertainty in "y" and "x": Algorithms in Excel and KaleidaGraph
Tellinghuisen, Joel – Journal of Chemical Education, 2018
For the least-squares analysis of data having multiple uncertain variables, the generally accepted best solution comes from minimizing the sum of weighted squared residuals over all uncertain variables, with, for example, weights in x[subscript i] taken as inversely proportional to the variance [delta][subscript xi][superscript 2]. A complication…
Descriptors: Chemistry, Least Squares Statistics, Data Analysis, Spreadsheets