Decrease and Regression

noun

• A change downward.
  • usage: "there was a decrease in his temperature as the fever subsided"; "there was a sharp drop-off in sales"
  • synonyms: lessening, drop-off
• A process of becoming smaller or shorter.
  • synonyms: decrement
• The amount by which something decreases.
  • synonyms: decrement
• The act of decreasing or reducing something.
  • synonyms: diminution, reduction, step-down

verb

• Decrease in size, extent, or range.
  • usage: "The amount of homework decreased towards the end of the semester"; "The cabin pressure fell dramatically"; "her weight fell to under a hundred pounds"; "his voice fell to a whisper"
  • synonyms: diminish, lessen, fall
• Make smaller.
  • usage: "He decreased his staff"
  • synonyms: lessen, minify

• (v.t.) To cause to grow less; to diminish gradually; as, extravagance decreases one's means.
• (v.) A becoming less; gradual diminution; decay; as, a decrease of revenue or of strength.
• (n.) To grow less, -- opposed to increase; to be diminished gradually, in size, degree, number, duration, etc. or in strength, quality or excellence; as, they days decrease in length from June to December.
• (v.) The wane of the moon.

noun

• An abnormal state in which development has stopped prematurely.
  • synonyms: arrested development, fixation, infantile fixation
• Psychiatry) a defense mechanism in which you flee from reality by assuming a more infantile state. (
• The relation between selected values of x and observed values of y (from which the most probable value of y can be predicted for any value of x.
  • synonyms: simple regression, regression toward the mean, statistical regression
• Returning to a former state.
  • synonyms: regress, reversion, retrogression, retroversion

Regression is a mathematical technique used to explain and/or predict. The general form is Y = a + bX + u, where Y is the variable that we are trying to predict; X is the variable that we are using to predict Y, a is the intercept; b is the slope, and u is the regression residual. The a and b are chosen in a way to minimize the squared sum of the residuals. The ability to fit or explain is measured by the R-square.