After a bit of searching I am still not happy!
Is there a simple way to make a graph with a y-axis that starts at the origin and clearly shows all your data?
Why not just:
ggplot(my.data, aes(x.var, y.var))+ geom_point()+ scale_y_continuous(expand = c(0,0))+ expand_limits(y = c(0,1.05 * max(my.data$y.var)))