Interpolation for multiple data sets (Independent and dependent variable) in ArcMap

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I'm relatively new to ArcMap, and I'm looking at the relationship between the internet and health outcomes. My dependent variables for my regression come from the Demographic & Health Survey (DHS) program, while my independent variable is a measure of internet connectivity (IP address density). These will be aggregated up to a district level.

My understanding is that I should create an interpolated surface for both the DHS and internet data, since not all of the districts contain locations with IP addresses or DHS clusters (the DHS program actually recommends using interpolation to estimate health indicators in small administrative areas).

In a previous paper using the same independent variable (IP address density), the author used IDW to create a surface to account for measurement error, but my understanding is that this is disadvantageous because it does not include any information on the uncertainty about the interpolated surface created, unlike for instance the method of kriging.

So, my first question is which type of interpolation method would be most appropriate with the present research.

Second, I am trying to wrap my head around the process of potentially interpolating both the independent and dependent variables, and wondering if someone could give me a few pointers regarding the process.



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