The following are some recommended conceptual self-assessment questions for the lesson called Other factors and a summary of functional modeling. They’re intended for you to work through to test your own understanding of the key concepts we covered there.
a) What’s the difference between a linear and non-linear functional model? Here I’m speaking about linearity in x.
b) Can you explain why we need linear models, or why need know how to make our models linear (we’ll be doing that later), i.e. what is it about a model that’s not linear in x that makes it hard to get to our end goal of estimating the parameter vector x?
Why was it harder 40-50 years ago to use a parametric modeling approach for large data sets?
In my video, I made a few sign mistakes in Example 7. Can you write out the final model and fix my errors? You can skip straight to that place in the video if you want using the link below it.
In Example 7 we saw how to model a situation with both a condition model and a parametric model.
a) Extend the parametric model for the case shown below, i.e. if we were to add a second leveling loop through point 4 which has known height:
Write out the parameter vector and measurement vector, and tell me what are u and n and r.
Show your work to get to the functional model in matrix form.
Also write the model out with numerical values as I did in the lesson.
b) Do the same for the condition model.
You can click through to other self-assessments or lessons (if any) using the button below, and return here whenever you wish.