Least Squares Estimate Using a Monte Carlo Method

Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
In the frame on the right, an estimate is made of the true slope and intercept for each repeated random sample. It is well-known that the covariance between intercept and slope estimates is negative. In this frame, you can observe this well-known relationship by observing the general motion of the "blue dot" as you vary the sample size and repeated random samples.
Contributed by: Richard Simson (March 2011)
Open content licensed under CC BY-NC-SA
Snapshots
Details
detailSectionParagraphPermanent Citation
"Least Squares Estimate Using a Monte Carlo Method"
http://demonstrations.wolfram.com/LeastSquaresEstimateUsingAMonteCarloMethod/
Wolfram Demonstrations Project
Published: March 7 2011