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I would recommend to look outside ArcGIS) Very easy using the free gdal software: http://www.gdal.org/gdaldem.html gdaldem TRI input_dem output_TRI_map Or if you'd prefer it in saga gis: http://www …

I would stick to R. If speed is really a problem ( I doubt so 90.000 is not such a big number) you could try finding relationships between a subset of your data. Actually the first thing I would do is …

You can use gdaltindex for this: http://www.gdal.org/gdaltindex.html It will however still create rectangles (eg 4+1 points) in the same reference system as the images. But I wonder whether that real …

Using leaflet on the clientside could be a good idea: http://esri.github.io/esri-leaflet/ Apart from that, it generally takes hard work to make the UI simple.

As a free alternative, SAGA GIS contains a module that may do what you want (Grid Statistics for Polygons). http://www.saga-gis.org/saga_modules_doc/shapes_grid/index.html

Search for regression kriging or kriging with external drift. But on topic: How many datapoints do you have? What exactly do you want to predict at which scale? Kriging and especially regression kri …

There are some efforts to run saga modules in arcgis through sextante: http://sextantegis.blogspot.com/2011/08/here-is-another-video-of-sextante-on.html

What is the variability of your data? For visualization you might have to aggregate rather than interpolate your date if its variability is high.

The first step is easy to accomplish using SAGA GIS, ( and if you are on linux you could even try running the modules from Qgis) Merge all the existing rows so that just one feature represents all …

See my answer at: Interpolation of Three Data Points Rather than interpolating you should first wonder if that is a useful thing to do at all: Would your map be better than using the average temp …

I would recommend you not to use Arcgis but to use a statistical program like R, which has a good support for spatial operations and a much better support for other statistical operations. A good int …

Note that since version 2.2.1 SAGA supports toolboxes which can be run from arcgis: https://sourceforge.net/p/saga-gis/news/2015/09/saga-221-released/ " To run ArcSAGA tools, you have to navigate to …