A New Look at Worst Case Complexity: A Statistical Approach

Box 3

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

The regression equation is

y = 17.0 −  2.33 n + 0.0608  

PredictorCoefSE CoefTP

Constant17.0459.6361.770.120

n−2.33240.8049−2.900.023

0.060820.014264.260.004

S = 8.19305R-Sq = 87.7%R-Sq(adj) = 84.1%

PRESS = 1809.78R-Sq(pred) = 52.45%

Analysis of Variance

SourceDFSSMSFP

Regression23336.01668.024.850.001

Residual Error7469.967.1

Total93805.9

SourceDFSeq SS

n12115.3

11220.7