I am trying to figure out and find out if R Studio programs provides statistical functions for regression analysis and natural break computation? Is anyone aware.Thanks much.
The programming language R provides statistical functions (including regression analysis). In fact, most Maths/Stats degrees use R in their undergraduate and postgraduate teaching (at least in the UK).
RStudio does not provide statistical functions. It is an IDE that makes using R much more friendly.
Confusion between R and RStudio is common! We have a disambiguation FAQ: Differentiating R from RStudio
Thanks to R's vibrant ecosystem of contributed add-on packages, it can actually be a little overwhelming to navigate all the stuff you can do with R. One starting place for browsing is the "Task Views" on CRAN: https://cran.r-project.org/web/views/. There's also a search page that lets you do a keyword search of CRAN package documentation and task views, e.g. http://finzi.psych.upenn.edu/cgi-bin/namazu.cgi?query="natural+breaks"&idxname=functions&idxname=views
There are many textbooks about statistical methods using R. A keyword search of WorldCat is another starting point. And we have a few general threads here calling out people's favorite stats references, many of them written with R in mind:
If you want specific advice on R packages, it will help if you can provide more details about what you're trying to do. Taken at face value, "regression analysis" (for example) is a pretty big universe of topics!