You usually see extrapolations of these trends in the press which give you much worse numbers.
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Yet there is something too deterministic about Mr Jacques's economic and political extrapolations.
Our multinationals have had a great run, but they need a breather from The Streets rising extrapolations of earning power.
Mr Obama's dystopian predictions are based on his own extrapolations from the broad spending cuts proposed by the Republicans in Congress.
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Earlier estimates of ocean diversity had relied on expert polls based on extrapolations from past rates of species descriptions and other measures.
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The authors' interpretations and extrapolations of it have not been subjected to any decisive tests, and it is not clear that they ever could be.
Which is to say, they rely similarly on assumptions and extrapolations.
Human fallacy, then, is to see the future as linear extrapolations.
Judging from the winners' models, reliable extrapolations could be made from one protein to another so long as the two shared at least 30% of their amino-acid sequences.
Although quasars are light days across, they are billions of light years from Earth, which means that most of what scientists know about them comes from extrapolations and not direct evidence.
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But hard and fast numbers, accelerating sales curves, and a large addressable audience need to be something that is settled in the minds of everyone, rather than being based on a few assumptions and extrapolations.
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If there is a truism we should by now have come to accept, it is to avoid single point extrapolations, look skeptically at the accepted wisdom of the day, and listen for the whistling wings of the Black Swan.
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And for the reasons we'll set out at length over the next two days, we believe the managers have misstated the record, have constructed their case out of tenuous extrapolations without foundation, have at every turn assumed the worst without the evidence to support their speculations.
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