Using Regression Trees in ArcGIS

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I have a follow up question to Statistical analyses for survey against raster?

I have a very similar problem as the initial poster David. I am creating a multivariate model from raster data in order to predict a response variable. In my case I am using soil and climatic data to predict crop yields.

I independently came to a very similar conclusion as the answer posted by Aaron, to use zonal stats, export to R, and create a Random Forest model. However, I am now stuck because I want to create a raster in ArcGIS of my predicted yields based on the input rasters but I can't figure out how to translate the output from R to Arc.

In R I used this code:

library(randomForest) fit
 
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