In my case, I have two questions that I want to ask here relating to correlations among variables:
  1. Whether it makes sense if we test the impact of laws on two outcome variables that are correlated to each other (around 0.6)
  2. I have a table of correlation of some independent variables as below
Array

Note: The variables names on the first row are equal to those on the column, for example (workpl~s=workplaces, sorry for the inconvenience due to the character limitation in STATA)

I am wondering which variables should be excluded from the regression? Is it okay to retain all of them in the regression. From my understanding, between two variables having high correlation, we should exclude one. High correlation is defined by having a correlation value higher than 0.5 and lower than 1.