What Are the Best Non-Linear Regression Methods for Analyzing Data Patterns?

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Non-linear regression methods are essential for analyzing data that does not follow a linear pattern. Options such as Newton's interpolating polynomial and Lagrange's polynomial can be considered, along with power, exponential, and logarithmic functions. Excel offers tools like the LOGEST function for fitting data to non-linear curves, although users may struggle to find these functionalities. The choice of method largely depends on the specific characteristics of the data being analyzed. Understanding and utilizing these options can significantly enhance data analysis outcomes.
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Homework Statement


Hi, the problem that I am struggling with is getting an appropriate method to produce non - linear line of regression when the data follows non - linear pattern.

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Would it be appropriate to use Newton's interpolating polynomial or Lagrange's polynomial at such circumstances? (one could select the most appropriate data points and then construct a polynomial using either method). Perhaps there are other methods that could be in this situation?
 
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No one has responded, so I'll take a shot. There are lots of options to choose from after you decide a regression line won't do the job, and the option to use would depend on your data. Besides using power functions or polynomials (including the two you mentioned), other options are exponential functions or logarithmic functions. Many spreadsheets, such as Excel, have this functionality, and let you choose which type to use.
 
Mark44 said:
No one has responded, so I'll take a shot. There are lots of options to choose from after you decide a regression line won't do the job, and the option to use would depend on your data. Besides using power functions or polynomials (including the two you mentioned), other options are exponential functions or logarithmic functions. Many spreadsheets, such as Excel, have this functionality, and let you choose which type to use.

Mark44, thank You for your response. I have came across the fact that excel can produce various functions for the data, however, I was unable to find the expression of such functions in the excel, and therefore I am unable to extrapolate the data. Perhaps there is something i do not know about excel?

Regards,
Cygni.
 
There is the LOGEST function in Excel that can be used to fit your data to a curve of the form y = bmx. There is also LINEST, which you can use to fit your data to y = mx + b, a straight line. I thought I remembered Excel having other functions of this type, but I don't see them in my copy of Excel 2007.
 

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