The form of the general least squares linear regression model is:
where fj(X) are any arbitrary functions of X that are called the basis functions. In regression modeling, the term 'linear' means that the models dependence on its parameters Aj is linear. The functions fj(X) may be nonlinear.
The parameters Aj are estimated by the method of least squares.
Standard error of the estimate:
where Xi, Yi are the data points,
n - Number of data points.
In FindGraph, linear regression model is linear combination of
|Polynomial||f1k(X) = ((X-X1)/W1)^k|
|Rational||f2k(X) = (W2/(X-X2))^k|
|f3k(X) = sqrt((X-X3)/W3)|
|Logarithmic||f4k(X) = (log ((X-X4)/W4))^k|
|Exponential||f5k(X) = exp((X-X5)/W5*k)|
|Fourier||f6k(X) = sin((X-X6)/W6*k)|
|f7k(X) = cos((X-X6)/W6*k)|
Parameters Xj and Wj are fixed. The parameter k varies from 1 up to 8.
FindGraph copies information about data fitting to the Log Fitting Window. To view it select menu item <View><Fitting Log>.
See Fitting, Interpolation.