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In the context of multiple linear regression, "adjusting" for a covariate simply means including it as an explanatory variable. There is an equivalent way of understanding multiple linear regression that provides insight into this question. To regress, say, $Z$ on $X$ and $Y$, we may (arbitrarily) select one of the explanatory variables (let it be $X$) and ...


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This project will take an excellent understanding of statistics. This is not really a software question. Briefly, it is not useful to think of adjusting variables to produce new variables. You need to adjust for variables in the context of a statistical model. Only in the very special case of ordinary regression with no interactions and all effects ...



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