r - Create standard score for variable depending on multiple variables -


i'm asking question on behalf of person, formulated problem this:

"i have data set real-world data variables x, y , z, z affected x , y, irregularities. wish create standard score z, in order this, have regression on both x , y. segmented regression if there 1 dimension, how 2 dimensions? also, it's important regression plane must smooth; ie. there must not gaps around breakpoints(s). looking @ 3d landscape visualisation of data, looks segmentation done single linear plane, i'm open solution lets me created standard score."

so question really: how can regression on multiple variables in order create standard score variable depends on multiple variables? (we using r.)

so far i've found following articles may indicate ways solve problem:


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