
| ln(Box width) | ln(RMS Fluctuation) |
| 0.60 | 0.85 |
| 0.70 | 0.98 |
| 0.78 | 1.05 |
| 0.85 | 1.17 |
| 0.90 | 1.23 |
| 0.95 | 1.29 |
| 1.00 | 1.35 |
| 1.04 | 1.40 |
| 1.08 | 1.53 |
| 1.11 | 1.51 |
| 1.18 | 1.60 |
| 1.20 | 1.68 |
| 1.23 | 1.72 |
| 1.28 | 1.78 |
| 1.32 | 1.82 |
| 1.36 | 1.90 |
| 1.40 | 1.98 |
| 1.43 | 2.01 |
| 1.46 | 2.05 |
| 1.51 | 2.11 |
| 1.54 | 2.17 |
| 1.58 | 2.22 |
| 1.61 | 2.27 |
| 1.65 | 2.30 |
| 1.69 | 2.38 |
| 1.73 | 2.43 |
| 1.77 | 2.47 |
| 1.81 | 2.48 |
| 1.85 | 2.54 |
| 1.88 | 2.59 |
| 1.92 | 2.61 |
| 1.96 | 2.64 |
| 2.00 | 2.70 |
| 2.03 | 2.70 |
| 2.07 | 2.72 |
| 2.11 | 2.76 |
| 2.15 | 2.74 |
| 2.18 | 2.77 |
| 2.22 | 2.75 |
| 2.26 | 2.76 |
| 2.29 | 2.81 |
| 2.33 | 2.81 |
| 2.37 | 2.83 |
| 2.41 | 2.89 |
| 2.45 | 2.87 |
| 2.48 | 2.91 |
| 2.52 | 2.89 |
| 2.56 | 2.96 |
| 2.60 | 2.94 |
| 2.63 | 3.05 |
| 2.67 | 3.04 |
| 2.71 | 3.02 |
| 2.75 | 3.14 |
| 2.78 | 3.16 |
| 2.82 | 3.22 |
| 2.86 | 3.18 |
FYI: Regression on these DFA data points gives a line with slope of 1.02 and y-intercept of 0.47. The correlation coefficient is 0.977702737685745.
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.