my date contain two groups, every group contains multiple variables, I want to analyze the correlation and the regression between this two groups, please anyone could guide me which statistics test that I can use ? thank you in advance !
I think you are looking for a method like the Canonical Correlation Analysis (CCA). With this method you will be able to test the hypothesis of whether the quantitative values of your variables can predict the two groups in which your data can be separated. Another common name for this technique is Discriminant Function Analysis (DFA).