Research Article
A New Look at Worst Case Complexity: A Statistical Approach
Box 5
Regression analysis result for
versus
and
(Box-Cox transformation) on random data sequences (5 * 10
5 ≤
≤ 50 * 10
5).
General Regression Analysis: versus , | Box-Cox transformation of the response with specified lambda = 0.5 | Regression Equation | 0.5=2.39481 − 4.2737e − 006 n + 2.34136e − 009 | Coefficients | TermCoefSE CoefTP | Constant2.394810.8332612.874020.024 | n−0.000000.000001−3.955140.005 | 0.000000.0000005.306210.001 | Summary of Model | S = 0.606531R-Sq = 95.26%R-Sq(adj) = 93.90% | PRESS = 9.71668R-Sq(pred) = 82.10% | Analysis of Variance | SourceDFSeq SSAdj SSAdj MSFP | Regression2 51.707251.707225.853670.27740.0000233 | n141.34935.75485.754815.64320.0054957 | 110.357910.357910.357928.15580.0011158 | Error72.57522.57520.3679 | Total954.2824 | Fits and Diagnostics for Unusual Observations for Transformed Response | Obs0.5FitSE FitResidualSt Resid | 108.058417.203520.4627070.8548952.18002R | Fits for Unusual Observations for Original Response | ObsyFit | 1064.93851.8907R | R denotes an observation with a large standardized residual. |
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