Hi,

I am trying to explain some of my variables using a weighted linear
regression, with x and y-coordinates as my explanatory variables.

For example, I want to explain my variable 'agri' in the following way :
agri = x + y + x*y+ x^2 + y^2 where x and y are my coordinates and the
regression must be weighted by the variance.

How can I do it ? Thanks in advance !

JP

For illustration, here is a part of my database (var_agri = variance)

    agri             se_agri    var_agri           x             y
1  -1.04E-05  4.47E-06  2.00E-11          23.78230555   2.968836238
2  -1.01E-05  4.36E-06  1.90E-11          26.05798185   4.476217345
3  -9.47E-06  4.55E-06  2.07E-11          30.5248107    3.058706843
4  -1.00E-05  4.22E-06  1.78E-11          26.97325452   0.737615804
5  -9.96E-06  3.74E-06  1.40E-11          17.67392327   -3.908029603
6  -1.05E-05  4.44E-06  1.97E-11          25.92926863   3.114662312
7  -1.01E-05  4.35E-06  1.89E-11          25.4312434    1.572565497
8  -6.54E-06  4.38E-06  1.92E-11          20.07104333   1.048456276
9  -9.65E-06  4.38E-06  1.91E-11          23.92598192   1.728975609
10 -7.39E-06  4.20E-06  1.76E-11          21.2291592    0.489260168

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