Whenever an explanatory variable is endogenous, i.e., the COR(x,residuals) !=0, we have to rely on Instrumental Variable approach. The following resources are offered on this topic:
A layperson explanation of IV models from The Economist magazine, download.
How to conduct IV analysis in Stata, download.
Lecture notes from Jeffery Wooldridge, download.
Hausman test for endogeneity, download.