The article “Vehicle-Arrival Characteristics at Urban Uncontrolled Intersections” (V.
The article “Vehicle-Arrival Characteristics at Urban Uncontrolled Intersections” (V. Rengaraju and V. Rao, Journal of Transportation Engineering, 1995:317–323) presents data on traffic characteristics at 10 intersections in Madras, India. The following table provides data on road width in m (x1), traffic volume in vehicles per lane per hour (x2), and median speed in km/h (x3)
.
The article “Vehicle-Arrival Characteristics at Urban Uncontrolled Intersections” (V.
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y
x1
x2
y
x1
x2
35.0
76
370
26.5
75
842
37.5
88
475
27.5
92
723
26.5
76
507
28.0
90
923
33.0
80
654
23.5
86
1039
22.5
65
917
24.5
80
1120
a. Fit the model y = β0+ β1×1 + β2×2 + ε. Find the P-values for testing that the coefficients are equal to 0.
b. Fit the model y = β0 + β1×1 + ε. Find the P-values for testing that the coefficients are equal to 0.
c. Fit the model y = β0 + β1×2 + ε. Find the P-values for testing that the coefficients are equal to 0.
d. Which of the models (a) through (c) do you think is best? Why?
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