Station X (m) Y (m) A -429.718 382.389 B 1461.251 2098.315 3591.387 -887.536 D -1806.372 -2932.472 -207.682 -1381.648 Line Distance Observation (m) 672.351 2477.860 3576.225 3521.137 1430.781 To set up a weighted, non-linear parametric least-squares adjustment of the given station resection data, give: (a) All necessary observation equations (b) The linearized equations (c) The weight matrix and a priori variance factor (d) The design matrix (e) The misclosure vector (f) The a priori parameter values.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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10. The following is an independently-observed station resection used to
establish coordinates for station S:
в
A
The coordinates of stations A, B, C, D, and E are to be assumed both fixed
and errorless in a local Cartesian coordinate system. The coordinates of
station S are to be determined using distances lı, l2, l3, l4, and Is observed
using an EDM instrument.
The manufacturer specifications for the EDM used to perform the resection
claim a standard deviation for each observation to be given by ± (3mm +
2ppm).
The observed distances and station coordinates are summarized as follows:
Transcribed Image Text:10. The following is an independently-observed station resection used to establish coordinates for station S: в A The coordinates of stations A, B, C, D, and E are to be assumed both fixed and errorless in a local Cartesian coordinate system. The coordinates of station S are to be determined using distances lı, l2, l3, l4, and Is observed using an EDM instrument. The manufacturer specifications for the EDM used to perform the resection claim a standard deviation for each observation to be given by ± (3mm + 2ppm). The observed distances and station coordinates are summarized as follows:
Station
X (m)
Y (m)
A
-429.718
382.389
В
1461.251
2098.315
3591.387
-887.536
D
-1806.372
-2932.472
E
-207.682
-1381.648
Line
Distance Observation (m)
672.351
2477.860
3576.225
4
3521.137
Is
1430.781
To set up a weighted, non-linear parametric least-squares adjustment of the
given station resection data, give:
(a) All necessary observation equations
(b) The linearized equations
(c) The weight matrix and a priori variance factor
(d) The design matrix
(e) The misclosure vector
(f) The a priori parameter values.
Transcribed Image Text:Station X (m) Y (m) A -429.718 382.389 В 1461.251 2098.315 3591.387 -887.536 D -1806.372 -2932.472 E -207.682 -1381.648 Line Distance Observation (m) 672.351 2477.860 3576.225 4 3521.137 Is 1430.781 To set up a weighted, non-linear parametric least-squares adjustment of the given station resection data, give: (a) All necessary observation equations (b) The linearized equations (c) The weight matrix and a priori variance factor (d) The design matrix (e) The misclosure vector (f) The a priori parameter values.
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