A'ight. I whipped up some plots from the HadCET data...
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On this first plot, I have the raw data of annual mean temps in Central England for 1659 to 2011 in grey. The black line is a 10-year running mean, which matches the smoothed version of the running mean seen on the plot I posted from the Met Office Hadley Centre.
The red line is exactly what I figured the trendline in Jay's post was. A linear regression of the entire data set that shows .26 deg C increase per century. The equation on the chart displays it as .0026 deg C per year. That is a poor representation of the behavior of the data.
Slightly better would be the blue line. It is a 100-year running mean, i.e., it is the average of the previous 100 data points. Even this clearly shows an increase in the rate of temperature rise in the 20th century, particularly in the second half. Notice how this curve is shaped like the CO2 curve from Jay's post? Fairly flat until it begins curving upward in the early 1900s... there is a large lag because it is a 100-year running average instead of an actual non-linear fit of some sort.
My second plot shows things a little differently. Again, the raw data is the grey in the background, but here I show a series of linear trendlines. The longest one is the same trendline from the first graph: a linear regression fit using all the data from 1659 to 2011. It shows the same .26 deg C per century increase.
The next shorter trendline is using the data from 1711-2011, and shows a change of .23 deg C per century (the source of Jay's plot should have used this data set... since their misrepresenting the data, anyway, might as cherry pick the part of the data that gives the best results). I removed the trendline equations for the middle ones just to keep the clutter down.
1761 to 2011: .37 deg C increase per century
1811 to 2011: .49 deg C increase per century
1861 to 2011: .66 deg C increase per century
1911 to 2011: .80 deg C increase per century
1961 to 2011: 2.5 deg C increase per century!
This clearly shows that not only is England's average annual temp increasing, but the rate at which it is increasing is also increasing. This is exactly what we'd expect from the CO2 levels.
I can easily pull up trendlines from any year to any other, if anybody wants something in particular.