$3.(5$ points total$)$ Fratar Model

A transportation engineer is looking to implement a Fratar model to estimate the expected $(5$ points total$)$ Fratar Model

A transportation engineer is looking to implement a Fratar model to estimate the expected

trips between three zones in the year $2045.$ Her two inputs to the model are:

Observed trips between zones, $2024,\frac{?}{\text{b}\text{a}\text{r}}(T{)}_{ij}^{\text{O}\text{b}\text{s}\text{e}\text{r}\text{v}\text{e}\text{d}}$

Expected Growth Factors

between $2024$ and $2045,G_i=G_j$

a$-$h$.(0\mathrm{.}5$ points each$)$ Finish the first iteration of the Fratar Model below by completing the

gray boxes labelled letters a$,$ b$,$ c$,$ d$,$ e$,$ f$,$ g$,$ and h$.$ Please round all answers to one decimal

place $($as below$).$ Note that the observed trip matrix $(2024)$ is not symmetric; however, the

estimated trip matrix should be symmetric.

i$.(1$ point$)$ For which zone$($s$),$ or $3$trips between three zones in the year $2045.$ Her two inputs to the model are:

a$-$h$.(0\mathrm{.}5$ points each$)$ Finish the first iteration of the Fratar Model below by completing the gray boxes labelled letters a$,$ b$,$ c$,$ d$,$ e$,$ f$,$ g$,$ and h$.$ Please round all answers to one decimal place $($as below$).$ Note that the observed trip matrix $(2024)$ is not symmetric; however, the estimated trip matrix should be symmetric.

i$.(1$ point$)$ For which zone$($s$)(1,2,$ or $3)$ are the future trips being overestimated after one iteration? Briefly explain your answer.