Abstract #300943

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JSM 2003 Abstract #300943
Activity Number: 339
Type: Contributed
Date/Time: Wednesday, August 6, 2003 : 8:30 AM to 10:20 AM
Sponsor: Section on Statistical Graphics
Abstract - #300943
Title: Demonstrating Least Squares Fitting Properties Using a Plot Equivalent to an F test
Author(s): Frank J. Matejcik*+ and Roger W. Johnson
Companies: South Dakota School of Mines and Technology and South Dakota School of Mines and Technology
Address: 501 East St. Joseph Street, Rapid City, SD, 57701-3901,
Keywords: graphics ; plots ; regression ; outliers ; residual plots ; ancient tools
Abstract:

This paper describes a plot (Katya's Triangle) equivalent to an F-test. The plot is used to demonstrate some commonly taught properties of regression. Datasets, which are selected for their teaching value, are used as our regression examples. Additionally, the plot may be used to show the influence of particular observations and may be helpful for visual learners. The plot is derived using the Ancient Tools scheme, which provides plots of many common statistics.


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