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Iamp;#39;m going to investigate in this video how the chi-square influences a peak model and weamp;#39;re going to do this using a set of synthetic data that has been created from a set of four component Peaks and a linear background so we have now got a spectrum that looks like a carbon 1s and it we know exactly what it is within these data so we ought to be able to reproduce this quite nicely based on generating a peak model with four components and the linear background so this is what weamp;#39;ll do weamp;#39;ll introduce a linear background weamp;#39;ll create a set of four components and we will fit these against the data and in the first instance the line shape is not quite same as the one used to create the data so we have a slight perturbation to the system based on the line shape so now if we fit this we obtain a chi square and because the line shape isnamp;#39;t exactly the one that was used we donamp;#39;t get exactly a residual standard deviation of unity but never
