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Plotting multiple histograms of Correlations

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So I need to create a plots (ggplot) of multiple histograms for each cross sectional units.

Lets say that we have a data.frame of correlation of all independent variables (to dependent variable) and we need to visualize as histogram, multiple histograms, using probably facet_wrap or similar.

I know how to perform it with one variable:ggplot(DATA, aes(A)) + geom_histogram() but I would like to see all variables (A, B, C, ...) in one single plot NOT mechanically creating all plot and then using grid.arrange is preferred for me since I we can have a datasets with even more of variables.

sample dataset:

unit <- c(1:100)A <- c(runif(100,-1,1))B <- c(runif(100,-1,1))C <- c(runif(100,-1,1))D <- c(runif(100,-1,1))E <- c(runif(100,-1,1))F <- c(runif(100,-1,1))DATA <- data.frame(unit, A, B, C, D, E, F)

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