Assignment No 6 - SUR 3520 Measurement Science Spring 2008...

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SUR 3520: Measurement Science Spring 2008 – Section 4218 Assignment No. 6 Student UFID: 1667-6117 Student Name: Charles K. Baxley 6.1 Calculate the most probable values for A and B in the equations below by the method of least squares 3 A + 2 B = 7.80 2 A - 3 B = 5.55 6 A - 7 B = 8.50 a. Consider the observations to be of equal weight b. Solve again if the observations have weights of 6, 4, and 3 respectively. 6.2 The values for three interior angles in a plane triangle, observed using a total station and the directional method, are The observed lengths of the course are: AB = 971.25 ft BC = 253.25 ft CA = 865.28 ft The following estimated errors are assumed for each measurement: σ i = ±0.003 ft σ t = ±0.020 ft σ DIN = ±2.0 What are the most probable values for the angles (use the conditional equation method)? 6.3 The following data were collected on a calibration baseline. Where D A and D H are measurements. Determine the instrument/reflector constant ‘C’ and the scaling factor ‘S’ using the following model: University of Florida Geomatics – SFRC
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