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 \((x_1)\), traffic volume in vehicles per lane per hour \((x_2)\), and median speed in km/h \((x_3)\).

a. Fit the model \(y=\beta_{0}+\beta_{1} x_{1}+\beta_{2} x_{2}+\varepsilon\). Find the P-values for testing that the coefficients are equal to 0.

b. Fit the model \(y=\beta_{0}+\beta_{1} x_{1}+\varepsilon\). Find the P-values for testing that the coefficients are equal to 0.

c. Fit the model \(y=\beta_{0}+\beta_{1} x_{2}+\varepsilon\). 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?

Equation Transcription:

Text Transcription:

(x_1)

(x_2)

(x_3)

x_1

x_2

x_1

x_2

y=beta_0+beta_1x_1+beta_2x_2+varepsilon

y=beta_0+beta_1x_1+varepsilon

y=beta_0+beta_1x_2+varepsilon

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