I am attempting to impute temperature based on elevation in ArcMap 10.2, using a regression equation. So far, I have been unsuccessful, as my output raster from my regression equation has the high too cool by 20 degrees, and the low too warm by 20 degrees.
I've attached my first output of the regression over the 30m DEM I've used
I've also attached the scatter plot of temperature points vs. altitude, which I then make the regression equation from. The equation I got from using a second order polynomial regression is as follows:
My approach is that there will be a relationship between decreasing temperatures and an increasing altitude, and that I can make a regression equation off of this.