extrapolation vs inference

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. 

inference

noun
  • That which is inferred; a truth or proposition drawn from another which is admitted or supposed to be true; a conclusion; a deduction. 

  • The act or process of inferring by deduction or induction. 

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