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regression of y on x

regression of y on x

8.7
A method that predicts the value of y from x using numbers
  • noun
  • /rɪˈɡrɛʃən əv waɪ ɒn ɛks/
  • Specialized
translation icon : regresión de y sobre x
  • The regression of y on x showed a significant positive relationship between study hours and test scores.

Examples

  • To make predictions about future sales, the analyst calculated the regression of y on x using monthly data.

  • Understanding the regression of y on x is essential in many fields, such as economics and psychology.

  • The regression of y on x shows a strong correlation.

  • Can you explain the regression of y on x in simple terms?

  • The regression of y on x illustrates how changes in the independent variable can impact the dependent variable.

  • Using software, the researcher created a regression of y on x to analyze the effects of temperature on plant growth.

  • In her thesis, she focused on the regression of y on x to predict academic performance based on study habits.

Synonyms

regression equation
vsregression of y on x
  • Specialized
7.8

A math formula that predicts one number from one or more other numbers

focuses on a single independent variable predicting the dependent value
regression curve
vsregression of y on x
  • Specialized
6.4

A smooth line or curve fitted to data points to show how two things are related

expresses the same relation as an explicit predictive equation rather than a drawn line

Surface Forms

Morphology

regression + of + y + on + x

The phrase is largely compositional: 'regression' names a statistical model and 'y on x' signals a relationship between variables, so parts contribute directly to the overall meaning. However, the preposition 'on' here carries a domain-specific sense ('predict y using x' or 'y as dependent on x') that is not the everyday spatial meaning, so a B1 learner who knows the words may not infer the precise directional/predictive relation without prior exposure.

Etymology

Regression of y on x comes from a scientist named Francis Galton who noticed that children's heights often moved back toward the average, so he called this 'regression' toward the average. So Regression of y on x means an equation that uses x to predict y.