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    <p>Many thanks to Roman for his help. This is the way we ended up doing it.</p> <pre><code>flow&lt;-read.table("iv.txt",comment.char="#",header=TRUE) Q&lt;-as.data.frame(c(0,(60*diff(flow$wt,1,1)/0.5))) # Q is used for flow in the standard names(Q)&lt;-"Q" # Now combine them l&lt;-list(flow,Q) dflow&lt;-as.data.frame(l) t1flow&lt;-subset(dflow, dflow$secs&gt;60*60 &amp; dflow$secs&lt;=120*60) # require the second hour of the data t1flow$QE&lt;-((t1flow$Q-setflow)/setflow)*100 # calculate the error library(TTR) # use this for moving averages # # Avert your eyes! I know there must be a slicker way of doing this ..... # # Calculate the moving average using a sample rate of every 4 readings (2 mins of 30sec readings) QE2&lt;-SMA(t1flow$QE,4) minQE2&lt;-min(QE2,na.rm=TRUE) maxQE2&lt;-max(QE2,na.rm=TRUE) # now for the 5 minute window QE5&lt;-SMA(t1flow$QE,10) minQE5&lt;-min(QE5,na.rm=TRUE) maxQE5&lt;-max(QE5,na.rm=TRUE) # Set window to 11 mins QE11&lt;-SMA(t1flow$QE,22) minQE11&lt;-min(QE11,na.rm=TRUE) maxQE11&lt;-max(QE11,na.rm=TRUE) # Set window to 19 mins QE19&lt;-SMA(t1flow$QE,38) minQE19&lt;-min(QE19,na.rm=TRUE) maxQE19&lt;-max(QE19,na.rm=TRUE) # Set window to 31 mins QE31&lt;-SMA(t1flow$QE,62) minQE31&lt;-min(QE31,na.rm=TRUE) maxQE31&lt;-max(QE31,na.rm=TRUE) # # OK - you can look again :-) # # create a data frame from this data trump&lt;-data.frame(c(2,5,11,19,31),c(minQE2,minQE5,minQE11,minQE19,minQE31),c(maxQE2,maxQE5,maxQE11,maxQE19,maxQE31)) names(trump)&lt;-c("T","minE","maxE") A&lt;-mean(t1flow$QE) # calculate the overall mean percentage error error_caption&lt;-paste("overall percentage error = ",A,"%") # create the string to label the error line # plot the graph ggplot(trump, aes(x = T, y = minE)) + geom_line() + geom_point(color="red") + geom_line(aes(y = maxE)) + geom_point(aes(y = maxE),colour="red") + geom_hline(aes(yintercept = 0), linetype = "dashed") + # overall percentage error geom_hline(aes(yintercept = A), linetype = "solid") + # set rate xlab("Observation windows (in minutes)") + ylab("% error") + scale_x_continuous(breaks=c(0,2,5,11,19,31),limits=c(0,32)) + # label the x axis only at the window values annotate("text", x = 10, y = A-0.5, label = error_caption) + # add the error line label opts(title="Trumpet curve for Test Data") </code></pre> <p><img src="https://i.stack.imgur.com/Mwp6o.png" alt="Final Trumpet Graph"></p> <p>Also available hYou can see the final graph [here][2]</p>
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