Curve fitting method || least square method

This is the third type video about to he method of curve fitting when equation contains exponential terms.

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   • Curve Fitting Least Square Method | C...  
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In curve fitting method, the natural logarithm (ln) is often used when fitting an exponential equation of the form y = ae^(bx) to a set of data points.

The reason for using the natural logarithm is because it can transform an exponential equation into a linear equation. Taking the natural logarithm of both sides of the equation, we get:

ln(y) = ln(a) + bx

Now, if we plot ln(y) against x, we get a straight line with slope b and y-intercept ln(a). We can then use linear regression techniques to find the best-fit line and determine the values of a and b for the original exponential equation.

Using the natural logarithm to transform an exponential equation into a linear equation is a common technique in curve fitting, and can be used with other types of functions as well.

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