better vs lower

better

verb
  • To improve. 

  • To surpass in excellence; to exceed; to excel. 

  • To give advantage to; to support; to advance the interest of. 

  • Had better. 

  • To become better; to improve. 

noun
  • An entity, usually animate, deemed superior to another; one who has a claim to precedence; a superior. 

adv
  • Greater or lesser (whichever is seen as more advantageous), in reference to value, distance, time, etc. 

  • Had better. 

adj
  • Greater in amount or quantity 

lower

verb
  • To make less elevated 

  • To decrease in value, amount, etc. 

  • To reduce operations to single machine instructions, as part of compilation of a program. 

  • To reduce the degree, intensity, strength, etc., of 

  • To bring down; to humble 

  • (lower oneself) To humble oneself; to do something one considers to be beneath one's dignity. 

  • To let descend by its own weight, as something suspended; to let down 

  • To reduce the height of 

  • To depress as to direction 

  • to pull down 

  • To reduce (something) in value, amount, etc. 

  • To fall; to sink; to grow less; to diminish; to decrease 

adj
  • bottom; more towards the bottom than the middle of an object 

  • Situated on lower ground, nearer a coast, or more southerly. 

  • older 

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