Problem

Repeat using the following data. FromToElev. Diff. (m)σ(m)JuniperA24.4020.027AB1.5150.02...

Repeat using the following data.

From

To

Elev. Diff. (m)

σ(m)

Juniper

A

24.402

0.027

A

B

1.515

0.024

B

Red

–4.492

0.031

B

Rock

17.862

0.026

For, following steps outlined in perform a weighted least-squares adjustment of the network. Determine the weights based upon the given standard deviations. What are the

*(a) Most probable values for the elevations of A and B?


(b) Standard deviations of the adjusted elevations?


(c) Standard deviation of unit weight?


(d) Adjusted elevation differences and their residuals?


(e) Standard deviations of the adjusted elevation differences?

A network of differential levels is run from existing benchmark Juniper through new stations A and B to existing benchmarks Red and Rock as shown in the accompanying figure. The elevations of Juniper, Red, and Rock are 101.968, 123.411, and 145.820 m, respectively. Develop the observation equations for adjusting this network by least squares, using the following elevation differences.

From

To

Elev. Diff. (m)

σ(m)

Juniper

A

3.295

± 0.022

A

B

31.833

± 0.016

B

Red

–13.638

± 0.029

B

Rock

8.752

± 0.020

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