python - Perform n linear regressions, simultaneously -

i have y - 100 row 5 column pandas dataframe

i have x - 100 row 5 column pandas dataframe

for i=0,...,4 want regress y[:,i] against x[:,i].

i know how using loop.

but there way vectorise linear regression, don't have loop in there?

as far know, there no way put @ once in optimized fortran library, lapack, since each regression it's own independent optimization problem.

note loop on 4 items not taking time relative regression itself, need compute because each regression isolated linear algebra problem... don't think there time save here...