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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.
Example
The actual weights and self-perceived ideal weights of a random sample of 40 female students enrolled in an introductory Statistics course at the University of Auckland 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
See: least-squares regression line
Curriculum achievement objectives reference
Statistical investigation: (Level 8)
Statistical investigation: Levels 5, (6), (7), (8)
