A New Look at Worst Case Complexity: A Statistical Approach

Box 6

Regression analysis result for versus , , and on random data sequences (50 * 10⁵ ≤ ≤ 100 * 10⁵).

The regression equation is

y = −480 + 22.0 n −  0.328    + 0.00161  

PredictorCoefSE CoefTP

Constant−479.8119.2−4.030.005

n22.0014.9914.410.003

−0.327990.06795−4.830.002

0.00160930.00030155.340.001

S = 2.96191R-Sq = 97.2%R-Sq(adj) = 96.0%

PRESS = 434.729R-Sq(pred) = 80.14%

Analysis of Variance

SourceDFSSMSFP

Regression32127.97709.3280.850.000

Residual Error 761.418.77

Total102189.38

SourceDFSeq SS

n11254.24

1623.73

1249.99