1. A method to enable wafer result prediction from a batch processing tool, comprising: collecting manufacturing data from a batch of wafers processed in batch in the batch processing tool, to form a batch processing result, the manufacturing data including product data and tool data; defining a degree of freedom of the batch processing result, wherein defining the degree of freedom includes forming a parameter matrix associated with a product parameter from the product data, and calculating the degree of freedom based on the parameter matrix; creating an optimal function model of the batch processing result, wherein creating the optimal function model includes using the product data to determine a number of model parameters, wherein the model parameters are related to hardware parameters from the tool data, and wherein the number of the model parameters is associated with the degree of freedom; selecting optimum sampling points based on the degree of freedom and the optimal function model; forming a correlation equation based on the product data and the tool data; forming a batch wafer result prediction model of the batch processing result, wherein forming the batch wafer result prediction model includes combining the optimal functional model and the correlation equation; and predicting batch wafer results from the batch processing tool using the wafer result prediction model.