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Table 3 List of basis functions of the MARS and their coefficients for dynamometer testing

From: Multivariate adaptive regression splines models for vehicular emission prediction

Beta

Basis

Value

factor

function

 

BF0

 

0.313578

BF1

Max(0, SPEED-6.43)

–0.000172

BF2

Max(0, SPEED-9.36)

0.000625

BF3

Max(0, SPEED-18.37)

0.005751

BF4

Max(0, SPEED-25.14)

0.063521

BF5

Max(0, ACCEL-1.12)

0.009433

BF6

Max(0, ACCEL-4.24)

0.056731

BF7

Max(0, ACCEL-6.24)

0.066312

BF8

Max(0, AMBT -21.54)

0.000321

BF9

Max(0, AMBT -23.15)

0.004433

BF10

Max(0, AMBT -24.62)

0.037215

BF11

Max(0, LOAD -15.67)

0.013211

BF12

Max(0, LOAD -45.67)

0.053412

BF13

Max(0, Power -13.76)

0.016813

BF14

Max(0, Power -20.64)

0.021213