The r - squared of
a linear trend line of this partial Sine wave is 0.88... 88 % of the data fit the trend line.
Both these Outlook projections are substantially lower and nearer to the observed September 2008 monthly average value than to the 1979 — 2000 mean value (7.1 million square kilometers) or to
the linear trend line of previous September minima (5.6 million square kilometers).
Projections are aligned in the graph so that they start (in 1990 and 2000, respectively) on
the linear trend line of the (adjusted) observational data.
Not exact matches
Why is the «volume cold enough for ozone loss»
line so perfectly
linear, and what sort
of trend do the «ozone loss» dots show?
(C) Mean
of all records transformed to summer temperature anomaly relative to the 1961 — 1990 reference period, with first - order
linear trend for all records through 1900 (green
line), the 400 - year - long Arctic - wide temperature index
of Overpeck et al. (2)(blue curve; 10 - year means), and the 10 - year - mean Arctic temperature through 2008 (red
line).
[Response: At the time (1988), there were no suggestions that climate should be following a
linear trend (though if you know
of some prediction along those
lines from the 1980s, please let me know — the earliest I can find is from 1992, and the prediction was for 0.1 degC / dec).
The solid
lines show the average July value for each year, whereas the dashed
lines show the
linear trend of these data for 1979 — 2009 (i.e., excluding the record 2010 value).
Why is the «volume cold enough for ozone loss»
line so perfectly
linear, and what sort
of trend do the «ozone loss» dots show?
Clearly, the sea ice volume data plot is the single most important topic
of discussion, yet in the article it is shown in Figure 1 with a poor vertical scale and amongst
linear trend lines which mislead and make the curve appear to be
linear and reach the zero point far out in the future.
I went to the trouble
of fitting a
linear trend line to the A2 model input
line from 2002 - 2009 and obtained a correlation coefficient (R2)
of 0.99967.
I've included the
linear trend line to illustrate the effect the straight
line has on the appearance
of the data.
(c) The global mean (80 ° N to 80 ° S) radiative signature
of upper - tropospheric moistening is given by monthly time series
of combinations
of satellite brightness temperature anomalies (°C), relative to the period 1982 to 2004, with the dashed
line showing the
linear trend of the key brightness temperature in °C per decade.
That is to say that there will be one EU - wide cap on the number
of emission allowances and this cap will decrease annually along a
linear trend line, which will continue beyond the end
of the third trading period (2013 - 2020).
12 - month running averages are shown as well as
linear trend lines, and compared to the scenarios
of the IPCC (blue range and
lines from the 2001 report, green from the 2007 report).
Fig. 3 Non-
linear trend lines as shown in Fig. 1 (solid red and blue) as compared to the
linear trends of the data for 1990 - 2008 (dashed red and blue).
It means the value
of the 30 year
linear trend line at the current month.)
The
linear trend line is now at +1.06 °C, which is perhaps the best temperature to compare to paleoclimate temperatures, because the latter are «centennially - smoothed,» i.e., the proxy measures
of ancient temperature typically have a resolution not better than 100 years.
In this figure, Nielsen - Gammon has added
linear trend lines to each ENSO category, and he notes that they all correspond to warming
trends of about 0.16 °C per decade.
This shows the HadCRUT3 temperature record since 1850 with
linear trend lines, which all end in 2005, but which begin at different years, covering time periods
of 150,100, 50 and 25 years.
Heck, the incidence
of denialist - type posts is rising faster even than the eagerly - awaited and now - arrived new tranche
of sea - levels, that now are pushing above
linear trend -
lines precisely as James Hansen's thermodynamic theories predicted would would be observed!
AK, that's the interesting thing... Girma isn't ``... imposing a
linear trend on the data...», rather he is OBSERVING that the
trend of temperature peaks and valleys IS A
LINE.
If the DATA were falling off that extension
of the
linear trend line from 1975 to 1997, then that might be evidence that the warming was really slowing down.
For this article, a statistically - significant global warming means that the
linear trend (slope
of the
trend line) is likely greater than zero with 95 % statistical confidence (i.e. the 95 % error bars do not include a possible 0.0 or negative temperature degree slope).
One
of the «problems» with the way climate data are handled is in the obsession with applying
linear trend lines to non-
linear data.
The
linear trends on the charts denote the continuing acceleration
of 15 - year warming (red straight
line) for the pre-1950 era, versus the decelerating
trend of our current times (green straight
line), as reported by NASA scientists.
Appending
linear rises like this isn't a very useful thing to do; but I'm giving it here as another illustration that your intuitions about mathematics
of trend lines are letting you both down.
Because
of that El Nino bulge, the calculated
trend will remain slight positive for quite a while (highlighting the problem
of using
linear trend lines on «event» driven data)
You need to look at tools for identifying a periodic (or quasiperiodic) signal on top
of a base
trend that is NOT
linear; because there's a heck
of a lot more going on with climate that you can capture on such scales with one
line a sine wave.
The best fit
linear trend lines (not shown)
of the model mean and all datasets are set to zero at 1979, which is the first year
of the satellite data.
A
linear regression
trend line with normal iid error gets to the heart
of what Mandelbrot was questioning.
But a noised - based approach using the Lasso method often quite similar to or even reduces to simple
linear interpolation — and given largely
linear trends over an especially brief amount
of time a noised - based largely interpolating method will «do well» in a way that is quite irrelevant — where the «best method» would simply be to connect the dots by means
of a straight
line.
A running mean merely smooths, it doesn't give a
trend line, unlike
linear regression, meaning least - squares fit
of a straight
line.
I'd say that the heavy dark blue straight
line is the
linear trend of the ten - year moving average
line.
If I limited the test to forecasting the
trend only and use the
linear trend from 1969 — 1988 (0.15 per decade) as the null hypothesis to compare with Hansen's
trend the skill
of Hansen is — 1.76 i.e. just sticking a
line through the last 20 years is much more skillful.
First, the fit
of the dark - blue deseasonalized NOAA data to the underlying
linear - regression
trend line (light blue) is very much closer than it is even to the IPCC's least projection on scenario A2.