Constructing the Regression Line for a Bivariate Dataset
Initializing live version
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
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
Snapshots
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 
.
Permanent Citation
