TProblem

Modelers have estimated that the number of trips leaving Rivertown (T_O) is a function of the number of households (H) and the number of jobs (J), and the number of trips arriving in Marcytown (T_D) is also a function of the number of households and number of jobs.

${\displaystyle T_{O}=1H+0.1J;R^{2}=0.9\,\!}$

${\displaystyle T_{D}=0.1H+1J;R^{2}=0.5\,\!}$

Assuming all trips originate in Rivertown and are destined for Marcytown and:

Rivertown: 30000 H, 5000 J

Marcytown: 6000 H, 29000 J

Determine the number of trips originating in Rivertown and the number destined for Marcytown according to the model.

Which number of origins or destinations is more accurate? Why?

Example

Determine the number of trips originating in Rivertown and the number destined for Marcytown according to the model.

T_Rivertown =T_O ; T_O= 1(30000) + 0.1(5000) = 30500 trips

T_(MarcyTown)=T_D ; T_D= 0.1(6000) + 1(29000) = 29600 trips

Which number of origins or destinations is more accurate? Why?

Origins(T_{Rivertown}) because of the goodness of fit measure of the Statistical model (R^2=0.9).