Correlating points of event and raster map of surface using GRASS, R and/or QGIS?

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I have a vector map of a distribution of some events. Each of them has coordinates (x,y) and a value.

I also have a raster map of a surface. I want to see if my points has some correlation with this surface.

What kind of spatial analysis can I perfom to check this?

I'm using GRASS, R, and QGIS



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