13.5. Adjustment of Observations

Try these first

1. 1.

   What is the Principle of Least Squares?

   Hint

   Think about the errors in your measurements.

2. 2.

   Why do we weight observations?

   Hint

   Consider the accuracy of different sources of data.

3. 3.

   What is the main goal of the Principle of Least Squares?

   • To maximize residuals
   • To minimize residuals
   • To equalize residuals

   Hint

   Focus on what the method optimizes.

4. 4.

   True or False: We assign weights to observations based on their reliability.

   • True
   • False

   Hint

   Think about why some measurements are trusted more than others.

5. 5.

   If a set of observations yields the following residuals: [-2, 3, 1], calculate the total sum of the squared residuals and explain why this is significant for adjustments.

   Hint

   Recall how squaring helps in error calculations.

6. 6.

   A geospatial study consists of observations with variances: 1, 2, and 4. If you find that the high variance observations may mislead, how would you adjust them?

   Hint

   Consider why variance matters in weighting.