How to calculate predictive weights?
I am using multiple variables (rainfall, temperature, wind speed, slope, distance to settlements, etc) for predicting fire events using different machine-learning algorithms. In the below-given example, I have used Random Forest to do so. Using 'Explain Predictions" this result was generated. In Support Prediction, we have Slope = 6.054 (0.378); Agriculture = 0 (0.074) where 6.054 and 0 are respective values and 0.378 & 0.074 are predictive weights.
Is there any method by which we can calculate the cumulative values of these predictive weights that can be converted to an equation?
I have to input these weights into another software (ArcGIS) to analyze raster data. Is there any other way to use this model on raster images?

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Thank you, Martin.
I am currently working in the field of Geospatial Technology, focusing on satellite imagery analysis. For GIS-based analysis and prediction, we utilize tools such as ArcGIS and R. While R allows us to import raster data and generate raster outputs, it struggles with larger geographical areas. On the other hand, ArcGIS provides similar functionalities but is less flexible when it comes to optimization.
Therefore, it's more convenient to work with vector data in the form of points. However, we still require outputs in the raster format. To apply algorithms across all pixels of a satellite image or raster data we need to convert it into some form.
For example, in the case of logistic regression, where coefficient values are calculated for different variables to form an equation.
As you mentioned about functions, is there any way to determine the function for this scenario?