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testing Testing whether there is an increase between two regression slopes in a time series

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whuber
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Geoff
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testing whether there is an increase between two regression slopes in a time series

I have a data of sea levels from a particular station from 1940 till today. The linear regression on the data from 1940-1980 resulted in a slope of 3. The linear regression on the data from 1980-2010 resulted in a slope of 4.

What test can be used to establish whether the increase in the slope is significant?