2. Geodesy and Reference Systems

Geodetic Adjustments — Quiz

Test your understanding of geodetic adjustments with 5 practice questions.

Practice Questions

Question 1

What is the role of the design matrix $A$ in a geodetic least squares adjustment?

Question 2

In a three-dimensional Helmert transformation used to define a geodetic datum, which set of parameters must be estimated?

Question 3

Given an observation covariance matrix $\Sigma = \begin{pmatrix}2 & 0.5 \\ 0.5 & 1\end{pmatrix}\,\mathrm{m}^2$, what is the weight matrix $P = \Sigma^{-1}$?

Question 4

If the weighted sum of squared residuals is $v^T P v=20$ and the degrees of freedom is $\nu=4$, what is the a posteriori variance factor $\hat\sigma_0^2$?

Question 5

For two adjusted parameters with covariance $Q_{ij}=0.02$, variances $Q_{ii}=0.05$ and $Q_{jj}=0.20$, what is their correlation coefficient $r_{ij}$?