The article Vehicle-Arrival Characteristics at Urban Uncontrolled Intersections (V. Rengaraju and V. Rao, Journal of Transportation Engineering,

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The article €œVehicle-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).

y X1 X2 370 475 507 654 917 y X1 75 92 90 86 842 723 923 1039 1120 76 26.5 27.5 28.0 23.5 24.5 35.0 37.5 88 76 26.5 33.0


a. Fit the model y = β0 + β1x1 + β2x2 + ε. Find the P-values for testing that the coefficients are equal to 0.
b. Fit the model y = β0 + β1x1 + ε. Find the P-values for testing that the coefficients are equal to 0.
c. Fit the model y = β0 + β1x2 + 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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