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?