When doing an OLS regression of the form $Y_{i}=\beta_{1}+\beta_{2}X_{i}+u_{i}$, one of the properties we get from the normal equations is that:
$$\sum u_{i}X_{i}=0$$
How can I show this without the use of the normal equations?
When doing an OLS regression of the form $Y_{i}=\beta_{1}+\beta_{2}X_{i}+u_{i}$, one of the properties we get from the normal equations is that:
$$\sum u_{i}X_{i}=0$$
How can I show this without the use of the normal equations?
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