eager vs hopeful

eager

adj
  • Desirous; keen to do or obtain something. 

  • Not employing lazy evaluation; calculating results immediately, rather than deferring calculation until they are required. 

hopeful

adj
  • inspiring hope 

  • feeling hope 

noun
  • Someone who is hoping for success or victory, especially as a candidate in a political election. 

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