Independence from a variable - Graphical confusion

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SUMMARY

The discussion centers on the mathematical relationship between magnitude (M) and the number of points (N) in a graph, specifically the equation M = a*N^b. The user, Will, seeks to eliminate M's dependency on N to plot a constant value of M, such as M = 3. Participants emphasize the importance of using precise mathematical language and understanding the practical implications of the relationship to achieve the desired graphing outcome.

PREREQUISITES
  • Understanding of polynomial equations, specifically the form M = a*N^b
  • Familiarity with graphing techniques and data visualization
  • Basic knowledge of mathematical dependencies and independence
  • Experience with practical applications of mathematical modeling
NEXT STEPS
  • Research methods for transforming equations to eliminate variable dependencies
  • Explore techniques for plotting constant values in mathematical graphs
  • Study the implications of polynomial regression on data interpretation
  • Learn about mathematical modeling in real-life scenarios
USEFUL FOR

Mathematicians, data analysts, and anyone involved in graphical data representation and mathematical modeling will benefit from this discussion.

WMBM
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http://postimg.org/image/pb0eu3ap3/
So I've got this graph, and magnitude, M, depends on the number of points, N,... but it shouldn't.
http://postimg.org/image/pb0eu3ap3/
The line of best fit is... M = a*N ^b

It's been a while since I studied, but knowing their relationship would it be possible to remove M's dependancy on N, i.e. in effort to plot a graph where e.g. M = 3?

Cheers Will
 
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You aren't using language that has a specific mathematical interpretation. You'll get better advice if you describe the real life situation and say what practical goal you are trying to accomplish.
 

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