How to find error between non-linear plot and data points?

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SUMMARY

Measuring the error between non-linear plots and data points can be effectively achieved through regression techniques, with least-squares regression being a popular method. The choice of regression technique depends on the specific characteristics of the curve and the desired outcomes of the analysis. Understanding the fundamentals of linear regression is essential before progressing to non-linear regression methods.

PREREQUISITES
  • Understanding of least-squares regression
  • Familiarity with non-linear curve fitting techniques
  • Basic knowledge of statistical analysis
  • Proficiency in using data analysis tools such as Python or R
NEXT STEPS
  • Research non-linear regression techniques in Python using libraries like SciPy
  • Learn about curve fitting methods in R, specifically the nls() function
  • Explore the concept of residuals and their significance in regression analysis
  • Study the differences between linear and non-linear regression models
USEFUL FOR

Data analysts, statisticians, and researchers involved in data modeling and curve fitting who seek to minimize error in non-linear data analysis.

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Is there a formal way to measure the error between some arbitrary points and a non-linear curve in order to minimize it?
 
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The short answer is "yes".
You can regress to a curve in many ways... least-squares is popular.
What's best depends on the curve and what you want to know.
I'm guessing you already know how to regress to a line?
 

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