What model best fits this data and why?

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Discussion Overview

The discussion revolves around identifying an appropriate mathematical model to fit a set of data points. Participants explore various modeling approaches and the challenges associated with selecting and justifying a model based on the data presented. The context appears to be homework-related, focusing on the application of mathematical concepts in data fitting.

Discussion Character

  • Homework-related
  • Exploratory
  • Technical explanation

Main Points Raised

  • One participant expresses difficulty in determining which model to use for fitting the data points, indicating a need for guidance.
  • Another participant suggests that the process of finding fitting models can be complex and encourages the original poster to consider various types of functions, such as sine, cosine, exponential, or polynomial models.
  • A different participant mentions that even a piecewise linear model could be appropriate, emphasizing the importance of discussing the model's strengths and weaknesses, regardless of its fit.
  • Participants encourage sharing graphs and specific ideas to facilitate more targeted suggestions and discussions.

Areas of Agreement / Disagreement

There is no clear consensus on a specific model to use, as participants propose different types of models and approaches. The discussion remains open-ended, with multiple competing views on how to proceed with the data fitting.

Contextual Notes

Participants have not provided specific assumptions or details about the data set, which may limit the applicability of their suggestions. The discussion also lacks resolution on the mathematical steps required to determine the best-fitting model.

spacecadeta
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Hi, I am new to this forum as i relly need help with this maths question - can anyone help?
 

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Hey spacecadeta and welcome to the forums.

You need to show what you have done and tried, what you are thinking (i.e. your thought process) and specifically where you are having trouble.

If you need to graph something, a good package is R:

http://www.r-project.org/

If you have been recommended to use something else from your teacher (since this is clearly a homework/assignment problem) then use that.

We do the above because you don't learn if you just get all the answers: if your question was more specific, then things might be different but they aren't.
 
Thanks Chiro,
What I am having the problem with is how to find the model to fit the data points, i can graph the data but the model is where I am getting lost...
 
Well in general, finding fitting models is a pretty ugly thing.

What kinds of things can you think of that the model "looks like"? Sine or cosine curve? Exponential? Square or Cube?

If you show us your ideas (and the graph you generated as an attachment), you might get more specific suggestions.
 
spacecadeta said:
Hi, I am new to this forum as i relly need help with this maths question - can anyone help?

Even a series of connected straight line graphs could do as a model here. The idea is to pick a model and discuss where it fits the data and doesn't. Even if the model isn't a good fit, you will get high marks if your discussion of the model strengths and faults is good. For instance, three or four straight lines connected together could be caused by a trend of increasing yields that decreased as a result of an unknown event and such cycle repeats.
 
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