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  1. PO
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    <p>Your code is right, except for two things. </p> <ul> <li><p>First, the function <code>lm_eqn</code> function does not undertand what is <code>y</code> and <code>x</code>. So, you'll have to pass the corresponding column names of <code>lai.se1</code> as follows:</p> <pre><code>lm_eqn = function(lai.se1){ m=lm(LAI ~ poly(DAS, 3), lai.se1) #3rd degree polynomial eq &lt;- substitute(italic(LAI) == a + b %.% italic(DAS)*","~~italic(r)^2~"="~r2, list(a = format(coef(m)[1], digits = 2), b = format(coef(m)[2], digits = 2), r2 = format(summary(m)$r.squared, digits = 3))) as.character(as.expression(eq)) } </code></pre></li> <li><p>2) Just the order has to be reversed a bit (due to <code>stat_smooth</code> as <code>annotate</code> just adds geoms to a plot. Otherwise, the <code>stat_smooth</code> output will be replaced by <code>annotate</code> ):</p> <pre><code>p &lt;- ggplot(lai.se1, aes(x = DAS, y = LAI, colour = DOS)) p &lt;- p + geom_errorbar(aes(ymin = LAI-sd, ymax = LAI+sd), colour = "black", size = .3, width = 1, position = position_dodge(.9)) p &lt;- p + stat_smooth(method = "lm", se = TRUE, fill = NA, formula = y ~ poly(x, 3, raw = TRUE)) p &lt;- p + geom_point(size = 1, shape = 21, fill = FALSE) + theme_bw() p + annotate("text", x=0.5, y=7.5, label=lm_eqn(lai.se1), hjust=0, size=8, family="Times", face="italic", parse=TRUE) p </code></pre></li> </ul> <p><strong>Edit:</strong> Proposed solution after OP's comment. How about this?</p> <pre><code>require(plyr) lm_eqn = daply(lai.se1, .(DOS), function(w) { m = lm(LAI ~ poly(DAS, 3), w) eq &lt;- substitute(italic(LAI) == a + b %.% italic(DAS)*","~~italic(r)^2~"="~r2, list(a = format(coef(m)[1], digits = 2), b = format(coef(m)[2], digits = 2), r2 = format(summary(m)$r.squared, digits = 3))) as.character(as.expression(eq)) }) p &lt;- ggplot(lai.se1, aes(x = DAS, y = LAI, colour = DOS)) p &lt;- p + geom_errorbar(aes(ymin = LAI-sd, ymax = LAI+sd), colour = "black", size = .3, width = 1, position = position_dodge(.9)) p &lt;- p + stat_smooth(method = "lm", se = TRUE, fill = NA, formula = y ~ poly(x, 3, raw = TRUE)) p &lt;- p + geom_point(size = 1, shape = 21, fill = FALSE) + theme_bw() p &lt;- p + annotate("text", x=0.5, y=5.5, label=lm_eqn[1], hjust=0, size=8, family="Times", face="italic", parse=TRUE) p &lt;- p + annotate("text", x=0.5, y=6.5, label=lm_eqn[2], hjust=0, size=8, family="Times", face="italic", parse=TRUE) p &lt;- p + annotate("text", x=0.5, y=7.5, label=lm_eqn[3], hjust=0, size=8, family="Times", face="italic", parse=TRUE) p </code></pre> <p>Basically, you generate all equations and then annotate that many times (you can probably loop them if you have more...)</p> <p><img src="https://i.stack.imgur.com/YFmZ9.jpg" alt="ggplot2_edit2"></p>
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    1. POadding 3 third order polynomial equations in a ggplot
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    1. COThanks for the help. But what about 3 separate equations for D1, D2 and D3?
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    2. COcheck out the edit. don't forget to up-vote and **mark** as answered (by checking the tick mark) if you have got it answered!
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    3. COthanks a ton Arun. just want little clarification: is lm_eqn[1] is for D1 and so on?
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