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A method of fitting a curve to a set of points representing statistical data in such a way that the sum of the squares of the distances of the points from the curve is a minimum. The least squares approach limits the distance between a function and the data points that the function explains.

Curve fitting is the process of finding a mathematical function in an analytic form that best fits this set of data. The first question that may arise is why do we need that. There are many cases that curve fitting can prove useful: quantify a general trend of the measured data. remove noise from a function.

For linear-algebraic analysis of data, "fitting" usually means trying to find the curve that minimizes the vertical (y-axis) displacement of a point from the curve (e.g., ordinary least squares).

The line of best fit demonstrates the correlation between the different points in a grid. It can be used to find trends by determining the relationship between different points on a graph.

When we fit the model what we're really doing is choosing the values for m and b ? the slope and the intercept. The point of fitting the model is to find this equation ? to find the values of m and b such that y=mx+b describes a line that fits our observed data well.

It provides a measure of how precisely each parameter has been estimated by the curve-fitting procedure, in much the same way as the standard error of the mean does for the mean of a group of measurements. It must, however, be interpreted with care and cannot always be taken at face value.

The goal of data (or curve) fitting is to find the parameter values that most closely match the data. The models to which data are fit- ted depend on adjustable parameters. Take the formula Y = A*exp(?X/X0) in which X is the independent variable, Y is the dependent variable, and A and X0 are the parameters.

The adjusted R-square statistic is generally the best indicator of the fit quality when you add additional coefficients to your model. The adjusted R-square statistic can take on any value less than or equal to 1, with a value closer to 1 indicating a better fit. A RMSE value closer to 0 indicates a better fit.