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
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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.
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