The U.K. Met Office maintains a longer record of monthly average and annual average temperatures for Central
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The U.K. Met Office maintains a longer record of monthly average and annual average temperatures for Central England from 1659 onwards in the file
https://www.metoffice.gov.uk/hadobs/hadcet/cetml1659on.dat
Check the format, download the data, and plot the annual average temperature as a time series. For the annual mean data up to Dec. 31 of the past year, fit the Matérn model with \(v=3 / 2\) and range \(\lambda=1000\) as described in section 6.5.3, and plot the Bayes estimate of the secular trend. Repeat the calculation for \(v=1\) and range \(\lambda=1000\), and superimpose the two Bayes estimates. Comment briefly on the shape of the fitted curves prior to 1772 .
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