esteem vs rate

esteem

verb
  • To set a high value on; to regard with respect or reverence. 

  • To regard something as valuable; to prize. 

  • To look upon something in a particular way. 

noun
  • Favourable regard. 

rate

verb
  • To have value or standing. 

  • To ascertain the exact rate of the gain or loss of (a chronometer) as compared with true time. 

  • To berate, scold. 

  • To assign or be assigned a particular rank or level. 

  • To evaluate a property's value for the purposes of local taxation. 

  • To evaluate or estimate the value of. 

  • To have position (in a certain class). 

  • To deserve; to be worth. 

  • To determine the limits of safe functioning for a machine or electrical device. 

  • To consider or regard. 

  • To like; to think highly of. 

  • To ratify. 

noun
  • A class into which ships were assigned based on condition, size etc.; by extension, rank. 

  • The price of (an individual) thing; cost. 

  • The gain or loss of a timepiece in a unit of time. 

  • The relative speed of change or progress. 

  • The proportional relationship between one amount, value etc. and another. 

  • A set price or charge for all examples of a given case, commodity, service etc. 

  • A wage calculated in relation to a unit of time. 

  • Any of various taxes, especially those levied by a local authority. 

  • Speed. 

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