
| ln( Box width ) | ln( RMS Fluctuation ) |
| 0.60 | 1.17 |
| 0.70 | 1.32 |
| 0.78 | 1.21 |
| 0.85 | 1.54 |
| 0.90 | 1.63 |
| 0.95 | 1.68 |
| 1.00 | 1.83 |
| 1.04 | 1.72 |
| 1.08 | 1.84 |
| 1.11 | 1.90 |
| 1.18 | 2.07 |
| 1.20 | 2.08 |
| 1.23 | 2.13 |
| 1.28 | 2.21 |
| 1.32 | 2.14 |
| 1.36 | 2.32 |
| 1.40 | 2.33 |
| 1.43 | 2.18 |
| 1.46 | 2.38 |
| 1.51 | 2.46 |
| 1.54 | 2.39 |
| 1.58 | 2.44 |
| 1.61 | 2.52 |
| 1.65 | 2.61 |
| 1.69 | 2.67 |
| 1.73 | 2.73 |
| 1.77 | 2.67 |
| 1.81 | 2.63 |
| 1.85 | 2.85 |
| 1.88 | 2.87 |
| 1.92 | 2.83 |
| 1.96 | 2.86 |
| 2.00 | 2.96 |
| 2.03 | 2.94 |
| 2.07 | 3.01 |
| 2.11 | 2.96 |
| 2.15 | 3.01 |
| 2.18 | 3.05 |
| 2.22 | 3.10 |
| 2.26 | 3.12 |
| 2.29 | 3.14 |
| 2.33 | 3.12 |
| 2.37 | 3.16 |
| 2.41 | 3.20 |
| 2.45 | 3.17 |
| 2.48 | 3.19 |
| 2.52 | 3.23 |
| 2.56 | 3.24 |
| 2.60 | 3.25 |
| 2.63 | 3.32 |
| 2.67 | 3.35 |
| 2.71 | 3.34 |
| 2.75 | 3.37 |
| 2.78 | 3.39 |
| 2.82 | 3.31 |
| 2.86 | 3.45 |
| 2.90 | 3.46 |
| 2.94 | 3.48 |
| 2.97 | 3.49 |
| 3.01 | 3.48 |
| 3.05 | 3.58 |
| 3.09 | 3.60 |
| 3.12 | 3.45 |
| 3.16 | 3.62 |
| 3.20 | 3.64 |
| 3.24 | 3.67 |
| 3.27 | 3.64 |
| 3.31 | 3.73 |
| 3.35 | 3.79 |
| 3.39 | 3.81 |
| 3.42 | 3.75 |
| 3.46 | 3.88 |
| 3.50 | 3.84 |
| 3.54 | 4.08 |
| 3.57 | 3.91 |
| 3.61 | 3.95 |
| 3.65 | 4.08 |
| 3.69 | 4.18 |
| 3.73 | 4.11 |
| 3.76 | 4.15 |
| 3.80 | 4.19 |
| 3.84 | 4.25 |
| 3.88 | 4.39 |
| 3.91 | 4.41 |
FYI: Regression on these DFA data points gives a line with slope of 0.84 and y-intercept of 1.06. The correlation coefficient is 0.983335436227261.
The slope values may be interpreted as follows:
| Slope | Interpretation |
|---|---|
| .5 | Totally random sequence; no self-similarity |
| 1.0 | Power-law (1/f) sequence; self-similarity at many scales |
| 1.5 | Brownian motion (random walk) |
This program is a version of demo.cgi by Sanford Morton, heavily modified by Michael Grobe to include data input, categorization, and regression. The program uses Perl module Chart::Plot, written by Sanford Morton and downloaded from www.speakeasy.org, to draw plots.