Least squares/normal equations problem

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Homework Help Overview

The discussion revolves around a problem related to least squares and normal equations, with participants expressing confusion about the specifics of the problem statement and the definitions of certain variables.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the nature of the matrix A's entries and whether it is more effective to work backwards from the summation to derive the normal equation. There is also uncertainty regarding the definition of the variable f and its arbitrary nature, as well as the meaning of x_j in the context provided.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the definitions and assumptions underlying the problem. Some have provided additional context from the homework sheet, but there remains a lack of consensus on the specifics needed to proceed.

Contextual Notes

Participants note that the attachment does not clearly define the variable f, leading to questions about its arbitrary nature. There is also ambiguity regarding the variable x_j and its role in the problem.

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Homework Statement



Attached

Homework Equations





The Attempt at a Solution



I'm quite confused in what this problem is trying to ask, what would the matrices A's entries consist of?

Would it be easier to work backwards from the summation to get to the normal equation?

Any tips and hints would be greatly appreciated.
 

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The attachment didn't explain what f is. Is it supposed to be arbitrary?
 
Stephen Tashi said:
The attachment didn't explain what f is. Is it supposed to be arbitrary?

Hey, thanks for your reply. There were a bit of info attached to the homework sheet. I've attached the background that was given to us. However, it doesn't specify a certain f so I assume it's arbitrary?

It would be easier for me to attempt the question if I knew where to begin...
 

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  • hwkback1.jpg
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I don't understand the question either. If f is arbitrary, it's an arbitrary what? - a function of one real variable? And what is x_j? In one of the attachments, it was a coefficient of a power of the variable t.
 

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