"""  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
A simple wrapper for linear regression.  (c) 2015 Tucker Balch  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
Copyright 2018, Georgia Institute of Technology (Georgia Tech)  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
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All Rights Reserved  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
Template code for CS 4646/7646  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
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and other users of this template code are advised not to share it with others  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
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-----do not edit anything above this line---  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
"""  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
import numpy as np  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
class LinRegLearner(object):  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
    def __init__(self, verbose = False):  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
        pass # move along, these aren't the drones you're looking for  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
    def author(self):  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
        return 'tb34' # replace tb34 with your Georgia Tech username  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
    def addEvidence(self,dataX,dataY):  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
        """  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
        @summary: Add training data to learner  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
        @param dataX: X values of data to add  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
        @param dataY: the Y training values  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
        """  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
        # slap on 1s column so linear regression finds a constant term  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
        newdataX = np.ones([dataX.shape[0],dataX.shape[1]+1])  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
        newdataX[:,0:dataX.shape[1]]=dataX  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
        # build and save the model  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
        self.model_coefs, residuals, rank, s = np.linalg.lstsq(newdataX, dataY, rcond=None)  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
    def query(self,points):  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
        """  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
        @summary: Estimate a set of test points given the model we built.  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
        @param points: should be a numpy array with each row corresponding to a specific query.  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
        @returns the estimated values according to the saved model.  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
        """  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
        return (self.model_coefs[:-1] * points).sum(axis = 1) + self.model_coefs[-1]  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
if __name__=="__main__":  		  	   		     			  		 			     			  	  		 	  	 		 			  		  			
    print("the secret clue is 'zzyzx'")