Methods of meta-analysing linear regression data

#1
Hello,

I am looking at the association between levels of anxiety (low, moderate, significant vs no anxiety) and blood pressure readings in several cohort studies.

I have run linear regression models in each of my three cohorts generating the results in this format;
(NB this is not my data, it is an example set from the stata webpage)

Source | SS df MS Number of obs = 200
-------------+------------------------------ F( 4, 195) = 46.69
Model | 9543.72074 4 2385.93019 Prob > F = 0.0000
Residual | 9963.77926 195 51.0963039 R-squared = 0.4892
-------------+------------------------------ Adj R-squared = 0.4788
Total | 19507.5 199 98.0276382 Root MSE = 7.1482

------------------------------------------------------------------------------
science | Coef. Std. Err. t P>|t| [95% Conf. Interval]
-------------+----------------------------------------------------------------
math | .3893102 .0741243 5.25 0.000 .243122 .5354983
female | -2.009765 1.022717 -1.97 0.051 -4.026772 .0072428
socst | .0498443 .062232 0.80 0.424 -.0728899 .1725784
read | .3352998 .0727788 4.61 0.000 .1917651 .4788345
_cons | 12.32529 3.193557 3.86 0.000 6.026943 18.62364


What methods are there for meta-analysing the results in the three cohorts? Is there a standard way of doing this in stata? I am having trouble understanding what information, alongside the coefficient, should be included (I am new to stats, apologies if this is a very basic question!)

Thank you for your help!