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16.3 Adjust the network shown in Figure P16.3 by the method of least squares. The data are listed as follows: Control Station Unknown Stations Station
16.3 Adjust the network shown in Figure P16.3 by the method of least squares. The data are listed as follows: Control Station Unknown Stations Station X (m) Y (m) Station X (m) Y (m) A 1776.596 2162.848 B D 1777.144 2457.553 1836.902 2533.979 1883.089 2200.879 Distance Observations Angle Observations Course Distance (m) S (m) Angle Value S("). AB BC CD DA AC 294.704 97.013 336.287 113.071 376.005 0.0046 0.0045 0.0046 0.0045 0.0046 CAD BAC CBA ACB DCA ADC 6107'01" 907'15" 14205'01" 2847'41" 1707'27" 10145'39" 6.6 4.0 7.6 7.3 3.9 6.7 BO A FIGURE P16.3 (a) What is the reference standard deviation, So? (b) List the adjusted coordinates of the unknown stations and their standard deviations. (c) Tabulate the adjusted observations, their residuals, and their standard deviations. (d) List the inverted normal matrix used in the last iteration. (e) Perform a x2 test on the reference variance at a 0.05 level of significance. The observed azimuth of line AB is 006'20.5" + 1.4". 16.3 Adjust the network shown in Figure P16.3 by the method of least squares. The data are listed as follows: Control Station Unknown Stations Station X (m) Y (m) Station X (m) Y (m) A 1776.596 2162.848 B D 1777.144 2457.553 1836.902 2533.979 1883.089 2200.879 Distance Observations Angle Observations Course Distance (m) S (m) Angle Value S("). AB BC CD DA AC 294.704 97.013 336.287 113.071 376.005 0.0046 0.0045 0.0046 0.0045 0.0046 CAD BAC CBA ACB DCA ADC 6107'01" 907'15" 14205'01" 2847'41" 1707'27" 10145'39" 6.6 4.0 7.6 7.3 3.9 6.7 BO A FIGURE P16.3 (a) What is the reference standard deviation, So? (b) List the adjusted coordinates of the unknown stations and their standard deviations. (c) Tabulate the adjusted observations, their residuals, and their standard deviations. (d) List the inverted normal matrix used in the last iteration. (e) Perform a x2 test on the reference variance at a 0.05 level of significance. The observed azimuth of line AB is 006'20.5" + 1.4
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