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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.

### Question 1

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?

### Question 2

Why was it harder 40-50 years ago to use a parametric modeling approach for large data sets?

### Question 3

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.

### Question 4

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.

If you’re one of my students, then you’re expected to answer these on your own and submit them according to the directions provided in class, i.e. you don’t  need to submit them through this website. Don’t forget that our TA and I are both here to help you in the associated lab (and/or tutorial) sessions.

I want you to put your answers to these conceptual questions into a single document. I don’t mind if you hand write it or type it out – do what works best for you.

But I want you to use the same document for all of the self-assessment questions you do before the due date, i.e. you will be asked to hand them all in together. This means you should keep things well organized with clear headings so you (and your TA) can figure out which solutions refer to which questions. Good self-assessment documents use headings and some even provide the links, e.g. the URL for this page. This helps you keep track and go back and forth quickly between the problems and solutions.

Also, keep in mind that you will be asked to submit them through D2L, so you’ll have to scan any handwritten documents.

You can click through to other self-assessments or lessons (if any) using the button below, and return here whenever you wish.