extrapolation vs forecasting

extrapolation

noun
  • An inference about some hypothetical situation based on known facts. 

  • A calculation of an estimate of the value of some function outside the range of known values. 

  • The diametric opposite of interpolation. 

forecasting

noun
  • A forecast or prediction. 

How often have the words extrapolation and forecasting occurred in a corpus of books? (source: Google Ngram Viewer )