Constructing the Regression Line for a Bivariate Dataset
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The plot shows a population of 1000 bivariate data points with the population regression line shown in blue. The sample of red points produces the regression line
shown in red. For this sample of points, the slope of the sample line
overestimates the slope of the population line
.
Contributed by: Todd Will (January 2024)
Open content licensed under CC BY-NC-SA
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Details
One commonly used formula for the standard error is
.
Vary the values of ,
and
to see that smaller values of
and larger values of
and
reduce the standard error
.
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