"Recovering" the Formula from a graph?

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SUMMARY

The discussion centers on the possibility of recovering mathematical expressions from graphical representations, specifically in the context of Sudoku puzzles. Users suggest employing curve fitting techniques, particularly referencing Plank's curve for black body radiation and the Chi-squared distribution. The conversation highlights the use of Polynomial Regression for data fitting, with resources provided for a downloadable Java version of the tool. The participants emphasize the need for a thorough analytical approach to derive meaningful formulas from observed data.

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  • Understanding of curve fitting techniques
  • Familiarity with Plank's curve for black body radiation
  • Knowledge of Chi-squared distribution
  • Experience with Polynomial Regression analysis
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  • Study the properties and applications of the Chi-squared distribution
  • Learn about Polynomial Regression and its implementation in R
  • Investigate the implications of log-normal distributions in statistical modeling
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Mathematicians, data analysts, and anyone interested in statistical modeling and curve fitting techniques, particularly in the context of puzzle-solving and data analysis.

WWGD
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Just curious: Can I "recover" the analytic description ( say, like a Mathematical expression) from a graph?

I just did well on a Sudoku recently . Please see below:

upload_2018-9-3_17-21-49.png
 

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jedishrfu said:
The curve looks a lot like Plank's curve for black body radiation. You could try curve fitting your results to it or do your future Sudokus under a black light. :-)

https://en.wikipedia.org/wiki/Black_body
Thanks. As usual I am being a bit lazy, just wondering if someone has thought this thoroughly so I don't have to. I may have to take a radical approach and think it through. Seems like it may be in the Chi-squared family (From the tanning salon family :) )?
https://en.wikipedia.org/wiki/Chi-squared_distribution
 
WWGD said:
Thanks. As usual I am being a bit lazy, just wondering if someone has thought this thoroughly so I don't have to. I may have to take a radical approach and think it through. Seems like it may be in the Chi-squared family (From the tanning salon family :) )?
https://en.wikipedia.org/wiki/Chi-squared_distribution
I think that something like the time to complete a Sudoku puzzle would follow a log-normal distribution.
 
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