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36350: Data Mining

Source: alumni.media.mit.edu
Topic: Ford


Short Desciption:
It is surprising to see the Ford Mustang here. It turns out that in 1993. Ford offered the Mustang LX a sportylooking but lowpowered car which ...

 

Content Inside:
36350: Data MiningPage 136350: Data MiningHandout 15October 15 2003More uses of treesWhat split should be at the top of the tree?Predictor1 Predictor2 Response0.31.3491.41.6620.10.2461.20.4571P age 2Interactions in the Housing data:4202210123RoomsLow.Status230.80.090.8 Price0.980.200.190.611.101.200.192.5021012 210123DistanceLow.Status230.80.090.8Price2 .801.601.300.340.241.100.63Rooms<0.9Low .Status<0.4Distance<1.6(5) Price = 2.5>1.6Rooms<0.4(195) Price = 0.098>0.4(55) Price = 0.53>0.4Crime<1.3(101) Price = 0.59>1.3(74) Price = 1.1>0.9Rooms<1.6Low.Status<0.034( 41) Price = 1.2>0.034(5) Price = 0.19>1.6Student.Teacher.Ratio<0.26(2 5) Price = 2.6>0.26(5) Price = 1.5This tree has R2= 0.84 compared to 0.76 for linear regression. It correctly captures the manyinteractions in this data for example the way that Low.Status changes the importance of Crimeand Distance.2Page 3Does this data need an interaction term?1.00.50.00.51.01.00.50.00.51.0V1V2220 .50.150.5y1.7001.1000.3100.2600.5100.0310. 5400.8901.300V2<0.13V1<0.1V2<0.9( 7) y = 1.7>0.9(13) y = 1.1>0.1V1<0.7(26) y = 0.31>0.7(9) y = 0.26>0.13V1<0.5V2<0.5(7) y = 0.51>0.5(8) y = 0.031>0.5V1<0.4(14) y = 0.54>0.4V2<0.3(7) y = 0.89>0.3(9) y = 1.33Page 4Trees are useful for constructing groups of cases whose response is similar and are easy tosummarize (defined by a handful of attributes). This is better than partitioning according tothe response (the groups need not be compact) or using kmeans (the groups need not havedifferent prices).Horsepower<0.2Weight<0.4Hors epower<1.3(9) Price = 1.6 Small]>1.3(20) Price = 0.92 Small.2]>0.4(9) Price = 0.16 Midsize.4]>0.2Horsepower<0.6Wheelbas e<0.08(14) Price = 0.055 Compact]>0.08Wheelbase<0.8(6) Price = 0.82 Midsize.3]>0.8(15) Price = 0.25 Van]>0.6Horsepower<1.4(13) Price = 0.95 Midsize]>1.4(7) Price = 1.7 Midsize.2]Kmeans groupsTree groupsHorsepowerPriceMPG.hig ...

 

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