Regression line
This page provides the definition for a mathematics term.
About this resource
A glossary of terms used in mathematics.
Regression line
A line that summarises the linear relationship (or linear trend) between the two variables in a linear regression analysis, from the bivariate data collected.
A regression line is an estimate of the line that describes the true, but unknown, linear relationship between the two variables. The equation of the regression line is used to predict (or estimate) the value of the response variable from a given value of the explanatory variable.
See Simple Linear Regression examples from Newcastle University.
Example
The actual weights and veterinarian-prescribed ideal weights of a random sample of 40 female chimpanzees are displayed on the scatter plot below. A regression line has been drawn. The equation of the regression line is predicted y = 0.6089x + 18.661 or predicted ideal weight = 0.6089 × actual weight + 18.661.
Alternatives: fitted line, line of best fit, trend line
Curriculum achievement objectives reference
Statistical investigation: Level 8
Statistical investigation: Levels 5, 6, 7, 8
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