# Calc Spatial Lag

## Description

This functor iteratively solves a spatial lag regression.

## Inputs

Name | Type | Description |
---|---|---|

P Lag | Real Value Type | pLag is the autoregressive coefficient. |

W Neighborhoods | Neighborhood Table Type | The neighborhood matrix. |

X1 | Lookup Table Type | x1 is the autoregressive term. When y is not known, x1 is used instead. In this case, a lookup table with same number of records and values equal to zero must be reported. |

B Coefficients | Lookup Table Type | Coefficients for independent variables x2, x3, x4… xn. |

E Error | Real Value Type | Regression random error term. |

## Output

Name | Type | Description |
---|---|---|

Y Result | Lookup Table | A lookup table with Y results. |

Y Predicted Result | Lookup Table | A lookup table with the predicted results. |

## Group

## Notes

The lag spatial model is represented as follows:

where is the autoregressive coefficient; W is the spatial weight matrix; y is the dependent variable; X is co-variables' information matrix; is the regression coefficients and is a random error term. W can be understood as the representation of the spatial interaction of a phenomenon. In a binary matrix, unit i is unit j’s neighbor if the spatial weight matrix cell, a_{ij}, is equal to 1.

### References

ANSELIN, L. SpaceStat TUTORIAL. Urbana-Champaign, University of Illinois, 1992.

ANSELIN, L. Spatial Externalities, Spatial Multipliers and Spatial Econometrics. Urbana-Champaign, University of Illinois, 2002.

## Internal Name

CalcSpatialLag