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Question 4. Considering the following two AM peak work trip generation models, e

ID: 3074424 • Letter: Q

Question

Question 4. Considering the following two AM peak work trip generation models, estimated by household linear regression (t -ratio for each parameter is given in parentheses): y 0.50+2.0x +1.5x R2 0.589 (6.9) (5.6) y 0.01+2.3x, +1.1Z1 +4.1Z2 R2 0.601 where y are household trips to work in the morning peak, x, is the number of workers in the household, x2 is the number of cars in the households, Z, is a dummy variable which takes the value of 1 if the household has one car and 0 otherwise; Z2 is a dummy variable which takes the value of 1 if the household has two or more cars and 0 otherwise. (a) Chose one of the models explaining clearly the reasoning behind your decision. (b) Graphically depict both models using appropriate axis.

Explanation / Answer

a )

we choose model 2 , because R^2 of model 2 is more {0.601 > 0.589}

b) plot yourself

c)

0 car = 50

1 car = 35

2 car = 15

y1^ = 50 * (0.5 + 2 *2) + 35* (0.5 + 2 * 2 + 1.5 * 1) + 15*( 0.5 +2*2 + 1.5 *2)

= 547.5

z1 = 1 if 1 car , z2 = 1 if more than 1

hence

y2^ = 50 * (0.01 + 2.3 * 2 ) + 35* ( 0.01 + 2.3 *2 + 1.1)+ 15 *( 0.01 +2.3 * 2+ 4.1 )

=561

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