$(7$ pts$.)$ A surveyor performing a level circuit around the William Building reports the following distances and elevations. Adjust his level circuit by calculating both the corrections and most probable elevations. Using the table on this sheet is ok$.$

$\backslash$table$[[$Point$,\backslash$table$[[$Distance from$],[$BM$1($miles$)]],\backslash$table$[[$Observed$],[$Elev $($ft$)]],\backslash$table$[[$Correction$],[($ft$)]],\backslash$table$[[$Most Probable$],[$Elev $($ft$)]]],[$BM$1,0,228\mathrm{.}75,,],[$Flag$1,3,229\mathrm{.}13,,],[$Flag$2,5,229\mathrm{.}45,,],[$Flag$3,9,229\mathrm{.}24,,],[$Flag$4,11,228\mathrm{.}59,,],[$Flag$5,15,228\mathrm{.}14,,],[$BM$1,18,228\mathrm{.}03,,]]$