Linear Analysis Linear And Linear Essay - 1373 Words

This experiment was performed to understand the process of linear least-squared analysis as well as developing the skills to use EXCEL and having the criteria for the best line of fit to ones’ graphs. Linear least-squared analysis is a statistical method to determine a line of best fit by minimizing the sum of squares created by a mathematical function. A â€Å"square† is determined by squaring the distance between a data point and the regression line. For the 1st order kinetics graph, the y-axis was for the sum of ln(A). The straight line equation came out to be y=-0.0224x-0.546 while the regression line was at a 0.99564 which was very good. For the 2nd order kinetics graph, the y-axis was for the sum of 1/A. The straight line equation came out to be y=0.0575x+1.6104 while the regression line was at a 0.97327 which was also quite good. Each data set had 9 degrees of freedom. The F-value for the first graph was 2057.16 and the 2nd graph was 327.67. Introduction: We used a set of data using least-squares procedures and decided from the evidence whether the 1st or 2nd –order kinetics was a better suited match to describe the data. Paying attention to data analysis and plots for these graphs were the most challenging. The data involves a pair of measurements of an independent variable x and a dependent variable y. In this case, our independent variable was Time(minutes) and the dependent variable was Abs(ODU). We preformed linear least-squared analyses using EXCEL in order toShow MoreRelatedMixed Linear Analysis1070 Words   |  5 Pagesmixed linear model (Zhang et al. 2010) implemented in the GAPIT package (Lipka et al. 2012) in R. determines the trade-off between misclassifying training examples and minimizing the norm of the weights. Parameter controls the band of the insensitive zone that in turn affects the number of support vectors in building the regression function. 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