Purpose of the item, calculation of the Instrumental Constant (Ci). A surveying team used the conjugate pair method (PD and PI) for vertical angle measurements on two different theodolites (theodolites have the same make and model, therefore, the same nominal or manufacturing accuracy) to determine their respective constants. instruments, determine which equipment is in the best condition for use using the theory of errors (choose the best independent series, that is, without weighting). Attention: apply the statistical procedures to the respective vectors of Ci's. Formula for calculating the instrumental constant, Ci=[360-(PD+PI)]/2f

ener 324 Teodolito 1 Srie 1 35 2 35 3 35 4 35 5 35 6 35 7 35 8 35 9 35 10 35 PD (0) 17 17 17 17 17 17 17 17 17 17 24 30 31 24 18 26 28 29 40 17 324 324 324 324 324 324 324 324 324 324 PI () 42 42 42 42 42 42 42 42 42 42 29 24 26 30 42 23 20 23 21 41 Teodolito 2 Srie PD () 1 35 17 2 35 17 3 35 17 4 35 17 5 35 17 6 35 17 35 17 8 35 17 9 35 17 10 35 17 23 31 29 28 33 34 26 39 31 31 PI) 324 42 31 324 42 28 42 34 324 42 29 324 42 22 324 42 22 324 42 20 324 42 13 324 42 27 324 42 20 o ener 324 Teodolito 1 Srie 1 35 2 35 3 35 4 35 5 35 6 35 7 35 8 35 9 35 10 35 PD (0) 17 17 17 17 17 17 17 17 17 17 24 30 31 24 18 26 28 29 40 17 324 324 324 324 324 324 324 324 324 324 PI () 42 42 42 42 42 42 42 42 42 42 29 24 26 30 42 23 20 23 21 41 Teodolito 2 Srie PD () 1 35 17 2 35 17 3 35 17 4 35 17 5 35 17 6 35 17 35 17 8 35 17 9 35 17 10 35 17 23 31 29 28 33 34 26 39 31 31 PI) 324 42 31 324 42 28 42 34 324 42 29 324 42 22 324 42 22 324 42 20 324 42 13 324 42 27 324 42 20 o