$(25$ points$)$ At the same site, a transportation

professor conducted a long$-$term observation of the

traffic under various conditions. Traffic densities and

flow speeds were collected from the observation, as

shown in the table. Based on the Greenshield's

model estimate $u_f,k_j,$ and $q_{\text{m}\text{a}\text{x}}.($Hint: you may use

the spreadsheet to answer this question$).$