Consider the model: Y = β0 + β1X + β2Z1 + β3Z2 + u, where X is a suspected endogenous variable and both the Zs are exogenous variables. What is the test that should be performed to find out whether X is correlated with u?

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Consider the model: Y = β<sub>0</sub> + β<sub>1</sub>X + β<sub>2</sub>Z<sub>1</sub> + β<sub>3</sub>Z<sub>2</sub> + u, where X is a suspected endogenous variable and both the Z<sub>s</sub> are exogenous variables. What is the test that should be performed to find out whether X is correlated with u?