Addition of exponential regression models to scatterplot

I have data set consisting of 7 species wet weights and size measurements. Number of observations range between 3 and 18 per species.

Species ID Wet weight(g) Size(mm)

These measurements are visualised in a ggplot scatter plot. I used the following code.

library("ggplot2")
library("reshape2")
library("tidyverse")

p<-ggplot(Wet,aes(x=Size,y=WW,colour=Species))+
  geom_point(size=3)+
  labs(x="\nDiameter or Length (mm)",y="Wet weight (g)\n")+
  theme(axis.title.x=element_text(size=18),
        axis.text.x=element_text(size=14,colour="black"),
        axis.title.y=element_text(size=18),
        axis.text.y=element_text(size=14,colour="black"),
        axis.ticks=element_blank(),
        legend.position="right",
        legend.text=element_text(colour="black",size=14),
        legend.title=element_blank())
p

I would like to add exponential regression models for every species and am interested in their equations, correlations coefficients and p-values.

I would appreciate any suggestions on how to add these to my scatter plot.

Thanks so much!!!

Species   ID   Wet Size (mm)   weight(g)
Aequorea   1   195   390
Aequorea   2   225   579
Aequorea   3   224   303
Aurelia   4   235   647
Aurelia   5   170   335
Aurelia   6   155   269
Cyanea   7   370   1499
Cyanea   8   460   5000
Cyanea   9   430   2011
...