How can I control the numeric display in Regression equation by using round or sprintf function? I also could not figure out how to use dev="tikz" when using eq.with.lhs = "hat(Y)~=~". 
library(ggplot2)
library(ggpmisc)
# generate artificial data
set.seed(4321)
x <- 1:100
y <- (x + x^2 + x^3) + rnorm(length(x), mean = 0, sd = mean(x^3) / 4)
my.data <- data.frame(x, 
                      y, 
                      group = c("A", "B"), 
                      y2 = y * c(0.5,2),
                      block = c("a", "a", "b", "b"))
str(my.data)
# plot
ggplot(data = my.data, mapping=aes(x = x, y = y2, colour = group)) +
        geom_point() +
        geom_smooth(method = "lm", se =  FALSE, formula = y ~ poly(x=x, degree = 2, raw = TRUE)) +
        stat_poly_eq(
                       mapping     = aes(label = paste(..eq.label.., ..rr.label.., sep = "~~~"))
                     , data        = NULL
                     , geom        = "text"
                     , formula     = y ~ poly(x, 2, raw = TRUE)
                     , eq.with.lhs = "hat(Y)~`=`~"
                     , eq.x.rhs    = "X"
                     , label.x     = 0
                     , label.y     = 2e6
                     , vjust       = c(1.2, 0)
                     , position    = "identity"
                     , na.rm       = FALSE
                     , show.legend = FALSE
                     , inherit.aes = TRUE
                     , parse       = TRUE
                     ) +
        theme_bw()
				
                        

1) The code below answers the
dev="tikz"part of the question if used with the 'ggpmisc' (version >= 0.2.9)Thanks for suggesting this enhancement, I will surely also find a use for it myself!
2) Answer to the
roundandsprintfpart of the question. You cannot useroundorsprintfto change the number of digits,stat_poly_eqcurrently usessignifwith three significant digits as argument applied to the whole vector of coefficients. If you want full control then you could use another statistics,stat_fit_glance, that is also inggpmisc(>= 0.2.8), which usesbroom:glanceinternally. It is much more flexible, but you will have to take care of all the formating by yourself within the call toaes. At the moment there is one catch,broom::glancedoes not seem to work correctly withpoly, you will need to explicitly write the polynomial equation to pass as argument toformula.