It can be seen that this is a reasonable fit for the data however estimation of the rest energy of the electron is largely outside of the expected value for the rest energy of an electron given our small uncertainty in this value. This I believe can be explained by the increasing amount of noise that we received near the low energy side of the window set for our MCA. An attempt was made to limit the effect of this noise by making runs of 2 hour intervals without a target to check radiation coming from unintentional scattering, then subtracting this background noise from runs made with the target in. This however did not drastically reduce the shift in energies believe to be caused by the background noise. A second attempt could be made to reduce this noise by increasing the amount of shielding between possible unnecessary scattering alignments from the source to the detector.
Conclusion
Given the information obtained from our residuals we find a reduced chi-squared value of 1.5 which allows us to be 20% confident in our fit. It is possible however that error here has been underestimated by our inability to properly account for error in our independent variable, namely the angle at which we were collecting data, which if accounted for is likely to improve our confidence. We conclude that treating photon-electron interactions as elastic collisions is a proper way to model this interaction.