Here we take the example of rectangular hyperbola, and the non linear equation describing the function is :Ī and B are constant in the above equation The process repeated iteratively until desired level of optimization reached. The value of the coefficient in the equation is changed,and the new value of the function is calculated, change in the value of the function in turn is used to calculate improved values of the coefficient. The solver is a optimization package that finds the maximum, minimum of a target cells by changing the values in one or several cells. There are many published computer programs and commercial software packages that perform non-linear regression analysis, but you can obtain the same results very easily by using the Excel's Solver. If the relationship between x and y can't be described by the equation of a straight line then the relationship is nonlinear. The example datas are a sin-curve (look the attachment).Documents in german language, but you find a lot of information about polynom regression with MS-EXCEL over the internet.Įxamples to use this tool are the ASTO-clock and the calculation of the absolute moisture of the air from measured values of the temperature and the relative moisture of the air.The relationship between two variables is linear if the graph of the relationship is a straight line and the equation of the relationship is of the form: With this polynomial z1' the total curve is in particular possible to you it to dismantle the total data area in sections (Part curves) um so for instance through two or more part curves, in each case with smaller (1 to 3) order, to approximate (and so for the LOGO! to tool usably and/or in programmable mode)! The numerical formats are predominant onto the needs the LOGO! adjusted. Then calculated (by means of so-called EXCEL MATRIX functions) a compensation polynomial about the entire x value range and (after entspr echender of definition of xa and xe as well as the polynomial parameters) a further polynomial z1' (and/or his coefficients) for a x part range of values of xa to xe. For the regression itself the order of the polynomial and the value range for the b coefficient is to be defined (sheed "Regression"). It enables the calculation of polynom coefficients according to input of corresponding date pairs (at least 2 to at the most 4000) in a separate table (sheed "Daten AQ=f(Ax)"). In the German forum part I developed a (makro-free)Tool " PolynomRegressionDynamisch_LOGO_V2.xls".
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