Tool Zonal Multiple Regression Analysis (Points and Predictor Grids)
Linear regression analysis of point attributes using multiple predictor grids. Details of the regression/correlation analysis will be saved to a table. The regression function is used to create a new grid with regression based values. The multiple regression analysis uses a forward selection procedure. Each polygon in the zones layer is processed as individual zone. 
Reference:
- Bahrenberg, G., Giese, E., Nipper, J. (1992): 'Statistische Methoden in der Geographie 2 - Multivariate Statistik', Stuttgart, 415p.
- Author: O.Conrad, P.Gandelli (c) 2015
 
- Menu: Spatial and Geostatistics|Regression
 
Parameters
|   | Name | Type | Identifier | Description | Constraints | 
| Input | Predictors | Grid list, input | PREDICTORS | - | - | 
 | Zones | Shapes, input | ZONES | - | - | 
 | Points | Shapes, input | POINTS | - | - | 
| Output | Residuals (*) | Shapes, output, optional | RESIDUALS | - | - | 
 | Regression | Grid, output | REGRESSION | - | - | 
| Options | Grid System | Grid system | PARAMETERS_GRID_SYSTEM | - | - | 
 | Dependent Variable | Table field | ATTRIBUTE | - | - | 
 | Resampling | Choice | RESAMPLING | - | Available Choices: [0] Nearest Neighbour [1] Bilinear Interpolation [2] Bicubic Spline Interpolation [3] B-Spline Interpolation Default: 3 | 
 | Include X Coordinate | Boolean | COORD_X | - | Default: 0 | 
 | Include Y Coordinate | Boolean | COORD_Y | - | Default: 0 | 
 | Intercept | Boolean | INTERCEPT | - | Default: 1 | 
 | Method | Choice | METHOD | - | Available Choices: [0] include all [1] forward [2] backward [3] stepwise Default: 3 | 
 | Significance Level | Floating point | P_VALUE | Significance level (aka p-value) as threshold for automated predictor selection, given as percentage | Minimum: 0.000000 Maximum: 100.000000 Default: 5.000000 | 
| (*) optional | 
Command-line
Usage: saga_cmd statistics_regression 15 [-PREDICTORS <str>] [-ZONES <str>] [-POINTS <str>] [-ATTRIBUTE <str>] [-RESIDUALS <str>] [-REGRESSION <str>] [-RESAMPLING <str>] [-COORD_X <str>] [-COORD_Y <str>] [-INTERCEPT <str>] [-METHOD <str>] [-P_VALUE <double>]
  -PREDICTORS:<str>	Predictors
	Grid list, input
  -ZONES:<str>     	Zones
	Shapes, input
  -POINTS:<str>    	Points
	Shapes, input
  -ATTRIBUTE:<str> 	Dependent Variable
	Table field
  -RESIDUALS:<str> 	Residuals
	Shapes, output, optional
  -REGRESSION:<str>	Regression
	Grid, output
  -RESAMPLING:<str>	Resampling
	Choice
	Available Choices:
	[0] Nearest Neighbour
	[1] Bilinear Interpolation
	[2] Bicubic Spline Interpolation
	[3] B-Spline Interpolation
	Default: 3
  -COORD_X:<str>   	Include X Coordinate
	Boolean
	Default: 0
  -COORD_Y:<str>   	Include Y Coordinate
	Boolean
	Default: 0
  -INTERCEPT:<str> 	Intercept
	Boolean
	Default: 1
  -METHOD:<str>    	Method
	Choice
	Available Choices:
	[0] include all
	[1] forward
	[2] backward
	[3] stepwise
	Default: 3
  -P_VALUE:<double>	Significance Level
	Floating point
	Minimum: 0.000000
	Maximum: 100.000000
	Default: 5.000000