Extracting time series trend analysis parameters from kriging using ArcGIS (versus R)

A grad student has asked me a question about extracting trend parameters for a time series of data using ordinary kriging ArcGIS tools. I’m not an expert in the spatial statistics options of ArcGIS, so I’m hoping to find some advice here. Currently the student has decided to stick with R due to frustration with not being able to figure out the same process in ArcGIS, but it would still be helpful to know if it’s even possible in ArcGIS. They say:

We are having trouble figuring out how to extract the trend
parameters, more specifically the equation of the line that was used
to remove the trend from the data, to which the kriging model is
fitting. The equation is essential when I present my thesis so that I
can say with confidence why I chose one model over the other. We know
there is a goodness of fit parameter, but we want to have a better
indication of the best model to choose rather than just the goodness
of fit. We know that we can extract out the trend parameters in R, but
we have not been able to figure it out in ArcGIS.

Do you happen to know how to extract the trend parameters from the
Geostatistical Analyst tool?