A New Look at Worst Case Complexity: A Statistical Approach

Box 4

Regression analysis result for versus , , and on random data sequences (5 * 10⁵ ≤ ≤ 50 * 10⁵).

The regression equation is

y = −13.5 + 3.09 n −  0.174    + 0.00285  

PredictorCoefSE CoefTP

Constant−13.5186.996−1.930.101

n3.0891.0492.950.026

−0.174280.04326−4.030.007

0.00284970.00051885.490.002

S = 3.60446R-Sq = 98.0%R-Sq(adj) = 96.9%

PRESS = 684.368R-Sq(pred) = 82.02%

Analysis of Variance

SourceDFSSMSFP

Regression33728.01242.795.650.000

Residual Error678.013.0

Total93805.9

SourceDFSeq SS

n12115.3

11220.7

1391.9