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Table 5 Results of multivariate adaptive regression splines (MARS) analysis for average vehicle speed

From: Effects of weather conditions, light conditions, and road lighting on vehicle speed

Weather and independent variables

Coefficients

Any weather

 (Intercept)

71.556593

LightingOrNot

−20.053046

h(11 − RoadWidth)

2.743444

h(RoadWidth − 11)

4.305712

h(SpeedLimit − 50)

0.201694

h(SpeedLimit − 60)

−1.115876

h(70 − SpeedLimit)

−2.200719

h(SpeedLimit − 70)

1.570952

h(SpeedLimit − 90)

0.553183

h(120 − DistanceToIntersection) × LightingOrNot

0.16244

h(DistanceToIntersection − 120) × LightingOrNot

0.085485

h(SpeedLimit − 70) × LightingOrNot

0.414816

h(9.5 − RoadWidth) × h(70 − SpeedLimit)

0.40451

h(RoadWidth − 9.5) × h(70 − SpeedLimit)

0.719237

h(SpeedLimit − 50) × h(Precipitation − 0.42)

−0.035494

h(SpeedLimit − 50) × h(0.42 − Precipitation)

0.227114

Clear

(Intercept)

79.981334

LightingOrNot

−28.518277

h(11 − RoadWidth)

2.780364

h(RoadWidth − 11)

5.282669

h(SpeedLimit − 50)

−0.065991

h(SpeedLimit − 60)

−1.136726

h(70 − SpeedLimit)

−2.189518

h(SpeedLimit − 70)

1.995838

h(SpeedLimit − 90)

0.573804

h(122 − DistanceToIntersection) × LightingOrNot

0.158861

h(DistanceToIntersection − 122) × LightingOrNot

0.086751

h(SpeedLimit − 50) × LightingOrNot

0.403711

h(9.5 − RoadWidth) × h(70 − SpeedLimit)

0.400246

h(RoadWidth − 9.5) × h(70 − SpeedLimit)

0.700583

h(SpeedLimit − 50) × h(Month − 5)

−0.009991

h(SpeedLimit − 50) × h(5 − Month)

−0.020567

Rain

(Intercept)

77.395878

LightingOrNot

−29.097199

h(11 − RoadWidth)

3.023544

h(RoadWidth − 11)

7.771029

h(SpeedLimit − 50)

−0.06837

h(SpeedLimit − 60)

−1.05428

h(70 − SpeedLimit)

−2.128295

h(SpeedLimit − 70)

1.849517

h(SpeedLimit − 100)

0.840325

h(122 − DistanceToIntersection) × LightingOrNot

0.175531

h(DistanceToIntersection − 122) × LightingOrNot

0.09366

h(SpeedLimit − 50) × LightingOrNot

0.437476

h(9.5 − RoadWidth) × h(70 − SpeedLimit)

0.388002

h(RoadWidth − 9.5) × h(70 − SpeedLimit)

0.688757

h(SpeedLimit − 50) × h(RoadSurfaceTemp − 3.3)

0.00191

h(SpeedLimit − 50) × h(3.3 − RoadSurfaceTemp)

−0.022534

Snow

(Intercept)

72.993458

LightingOrNot

−23.47263

h(70 − SpeedLimit)

0.620395

h(SpeedLimit − 70)

0.600392

h(−3.16667 − RoadSurfaceTemp)

0.51156

h(RoadSurfaceTemp − −3.16667)

0.258633

h(5 − Month)

−1.18959

h(Month − 5)

−0.761911

h(50 − SpeedLimit) × LightingOrNot

−1.146202

h(SpeedLimit − 50) × LightingOrNot

0.54384

h(5 − DayOrNight) × h(SpeedLimit − 70)

−0.009452

h(DayOrNight − 5) × h(SpeedLimit − 70)

0.010379

h(50 − DistanceToIntersection) × h(70 − SpeedLimit)

−0.011507

h(DistanceToIntersection − 50) × h(70 − SpeedLimit)

−0.001207

h(1590 − DistanceToIntersection) × h(SpeedLimit − 70)

−0.000104

h(DistanceToIntersection − 1590) × h(SpeedLimit − 70)

0.000023

h(8 − RoadWidth) × h(70 − SpeedLimit)

0.050211

h(RoadWidth − 8) × h(70 − SpeedLimit)

−0.120054

h(SpeedLimit − 70) × h(Precipitation − 1.43333)

−0.042663

h(SpeedLimit − 70) × h(1.43333 − Precipitation)

0.175684

  1. DayOrNight light conditions (darkness, twilight, daylight), DistanceToIntersection distance to nearest intersection, RoadWidth road width, SpeedLimit posted speed limit, RoadSurfaceTemp mean value of road temperature per hour, LightingOrNot presence or not of road lighting
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