A question about Fixed effects estimation I have a fixed effects model as follows:

$Y = x_1, x_2, x_3$, (fixed effect), (error term)

Is there any way I can check whether Cov($x_1$, (fixed effect)) is larger or smaller than 0?

The panel data I have consists of 7858 individuals and 5 years.

Thanks!
Having read up on your question it seems the fixed effect is fixed. If this is indeed the case it will have zero variance and hence zero covariance with any variable.