leastsqs.hxx File Reference
Implements a simple linear least squares best fit routine. More...
Go to the source code of this file.
Functions | |
| void | least_squares (double *x, double *y, int n, double *m, double *b) |
| Classical least squares fit:. | |
| void | least_squares_update (double x, double y, double *m, double *b) |
| Incrimentally update existing values with a new data point. | |
| double | least_squares_error (double *x, double *y, int n, double m, double b) |
| double | least_squares_max_error (double *x, double *y, int n, double m, double b) |
Detailed Description
Implements a simple linear least squares best fit routine.
Definition in file leastsqs.hxx.
Function Documentation
| void least_squares | ( | double * | x, | |
| double * | y, | |||
| int | n, | |||
| double * | m, | |||
| double * | b | |||
| ) |
![\[ y = b_0 + b_1 * x \]](form_0.png)
![\[ b_1 = \frac{n * \sum_0^{i-1} (x_i*y_i) - \sum_0^{i-1} x_i* \sum_0^{i-1} y_i} {n*\sum_0^{i-1} x_i^2 - (\sum_0^{i-1} x_i)^2} \]](form_1.png)
![\[ b_0 = \frac{\sum_0^{i-1} y_i}{n} - b_1 * \frac{\sum_0^{i-1} x_i}{n} \]](form_2.png)
| double least_squares_error | ( | double * | x, | |
| double * | y, | |||
| int | n, | |||
| double | m, | |||
| double | b | |||
| ) |
- Returns:
- the least squares error:.
![\[ \frac{(y_i - \hat{y}_i)^2}{n} \]](form_3.png)
Definition at line 97 of file leastsqs.cxx.
| double least_squares_max_error | ( | double * | x, | |
| double * | y, | |||
| int | n, | |||
| double | m, | |||
| double | b | |||
| ) |
![\[ (y_i - \hat{y}_i)^2 \]](form_4.png)
