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

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To measure the error between non-linear plots and data points, formal methods such as least-squares regression can be employed. The choice of regression technique depends on the specific characteristics of the curve and the desired outcomes. Various regression methods exist, each suited for different types of non-linear relationships. Understanding how to regress to a linear model is a foundational step before tackling non-linear regression. Accurate error measurement is crucial for effective data analysis and model fitting.
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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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