I’d like to add a mention of the “brew” package. You can write a brew template file which would be LaTeX with placeholders, and then “brew” it up to create a .tex file to \include or \input into your LaTeX. Something like:
\begin{tabular}{l l}
A & <%= fit$A %> \\
B & <%= fit$B %> \\
\end{tabular}
The brew syntax can also handle loops, so you can create a table row for each row of a dataframe.