Is there a collective term for both interpolation and extrapolation? If there is such a term, what is it?
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Possibly stats.stackexchange.com might give you a better answer to this than this forum would. – Michael Hardy Aug 22 '14 at 01:03
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2Imputation is a general word for when you "fill in the blanks" such as "multiple imputation" a la Rubin – Aug 22 '14 at 01:34
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approximation, (surface) reconstruction, model fitting – rych Sep 17 '14 at 08:45
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Control theorists sometimes use the word "filtering" to describe both.
https://english.stackexchange.com/questions/146171/hypernym-for-interpolation-and-extrapolation
has several suggestions, including "regression", "fitting", and "estimation".