Let's say I am running a regression over the full sample and I get my coefficient values for each variable.
y = intercept + alpha X1 + beta X2
y = 1.8354 + 0.23234 X1 + 0.4564 X2
I woudl like to the check the values I obtained using bootstraping (because I don't have any hold out sample ).
Running a bootstrap on the regression I was wondering if the mean values for the coefficients obtained (alpha and beta) would always converge to the value from the full sample regression. And thus the only "meaningful" insight would be the confidence intervals ?