Solution: Least Squares 4

Statistics and Error ellipses

The following traverse was adjusted by least squares to determine the coordinates of points G and H.

Final coordinates of G and H are:

Matrices from the final iteration of the adjustment are:

Compute:

(a) Expected uncertainties of the adjusted coordinates.

(b) Adjusted observations.

(c) Parameters of the standard and 95% CI error ellipsii at each adjusted point.

Solution

(a) Expected uncertainties of the adjusted coordinates.

Residuals are computed from [V] = [CU] - [K]

Since the [U] elements are all zero, [V] = -[K]

(b) Adjusted observations.

Add the [V] matrix elements to the corresponding field measurements to get the adjusted observations.

(c) Standard and 95% CI error eliipsii

Point G

Point H

Error Ellipse Summary