Linear regression for Gamma-Ray spectrum

The radiation emitted from nuclear decay is subject to a certain degree of statistical variability. These inherent fluctuations represent an inevitable source of uncertainty in all nuclear measurements and often they can be the predominant source of inaccuracy or error. So we used programming and statistical tests to study the spectrum of the Cesium-137 source. We analyzed the spectrum areas from the total area of the spectrum, photopeak, and others, and found through the analysis that the samples mean do not obey the normal distribution and this was proved by using a T-test. The distribution of the values was observed randomly around the rate by using the linear regression test. and there were few differences between the mean values and the statistical variation of the single assumed random models by using the statistical models.