extrapolation vs prediction

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. 

prediction

noun
  • A probability estimation based on statistical methods. 

  • A statement of what will happen in the future. 

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