# Residual-Fit Spread Plot

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The residual-fit spread (RFS) plot is illustrated using simple linear regression. In general, the purpose of the RFS plot is to provide a visualization of how well a statistical model fits the data. It provides a graphical alternative to the coefficient of determination.

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Contributed by: Ian McLeod (March 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

The RFS plot and trellis-style graphics were introduced in [1] and [2]. The plot is a two-panel display of the quantile plot of the fitted values minus their mean, and of the residuals. The quantile plot for data is the plot of versus , where are other ordered values, . Many examples of the use of the quantile plot are discussed in [2] where its advantages over the histogram for data visualization are discussed.

[1] R. A. Becker, W. S. Cleveland, and M. Shyu, "The Visual Design and Control of Trellis Display," *Journal of Computational and Graphical Statistics*, 5(2), 1996 pp. 123–155.

[2] W. S. Cleveland, *Visualizing Data, *Summit, NJ: Hobart Press, 1993.

## Permanent Citation

"Residual-Fit Spread Plot"

http://demonstrations.wolfram.com/ResidualFitSpreadPlot/

Wolfram Demonstrations Project

Published: March 7 2011