Self Study: Least Squares

Level Circuit Adjustment

Given the level circuit below, what are the adjusted elevations and their expected errors for points A and B? Compute to both to 0.001 ft.

Obs dElev (ft) Len* (ft)   Obs dElev (ft) Len* (ft)
1 +3.28 625   4 -2.48 1100
2 -11.81 800   5 -11.85 750
3 +14.51 550   6 +8.58 375

*Len is the sum of the backsight and foresite distances for the observation run.

 

Solution