Using the least squares method, determine the correction, in millimeters, to the field difference in elevation along route 1 starting from BM 34 to BM 35.

The least squares method is a statistical technique used to determine the best-fitting line or curve to data by minimizing the sum of the squares of the offsets (the residuals) of the points from the curve. In the context of geodetic engineering, it is often employed for adjusting measurements, such as the differences in elevation between benchmarks.

To determine the correction to the field difference in elevation along a specific route using this method, you would first collect all the relevant elevation data between the two benchmarks (BM 34 and BM 35), including any observed discrepancies in measurements. You would then compute the corrections that need to be applied to these observed values to achieve the most accurate and consistent set of data.

The result, in this case, noted as a correction of +105 millimeters, indicates the calculated adjustment needed to correct the observed elevation difference. This specific value reflects the computations carried out using the least squares adjustment, taking into account all relevant observations and their weights to ensure a statistically optimal solution.

This process is fundamental in ensuring the precision of geodetic surveys and serves as a critical step in ensuring that elevations are consistent with established benchmarks and accepted methodologies. The correctness of the derived correction signifies successful application of mathematical principles and survey methodology in geodetic