regression of y on x
- noun
- /rɪˈɡrɛʃən əv waɪ ɒn ɛks/
- Specialized
- The regression of y on x showed a significant positive relationship between study hours and test scores.
Examples
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To make predictions about future sales, the analyst calculated the regression of y on x using monthly data.
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Understanding the regression of y on x is essential in many fields, such as economics and psychology.
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The regression of y on x shows a strong correlation.
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Can you explain the regression of y on x in simple terms?
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The regression of y on x illustrates how changes in the independent variable can impact the dependent variable.
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Using software, the researcher created a regression of y on x to analyze the effects of temperature on plant growth.
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In her thesis, she focused on the regression of y on x to predict academic performance based on study habits.
Synonyms
A math formula that predicts one number from one or more other numbers
A smooth line or curve fitted to data points to show how two things are related
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.