Below I have attached two graphs of issues over time for a site in Chattanooga. (one is all issues over time, and the other is all issues restricted to date of the software update that causes the spikes) I am wondering what method of time series I could use to fit this data? I do not want to get rid of the "outliers"/spikes because this is what I am trying to fit to be able to "lay" the graph on another site location and make a prediction about its future spike. (therefore, I think smoothing the data or differencing defeats the purpose of what I am trying to do, but maybe I am misunderstanding) There are factors that go into play at Chattanooga and other sites, such as experience and size. Is this possible to incorporate and fit?
Any help is greatly appreciated!