Copyright (C) 2017 J. Patrick Hall, jphall@gwu.edu
Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
In [182]:
import h2o
from h2o.estimators.gbm import H2OGradientBoostingEstimator
from h2o.estimators.random_forest import H2ORandomForestEstimator
from h2o.grid.grid_search import H2OGridSearch
from h2o.estimators.xgboost import H2OXGBoostEstimator
from h2o.estimators.stackedensemble import H2OStackedEnsembleEstimator
import xgboost as xgb
h2o.init() # give h2o as much memory as possible
h2o.no_progress() # turn off h2o progress bars
import numpy as np
import pandas as pd
Checking whether there is an H2O instance running at http://localhost:54321. connected.
H2O cluster uptime:
6 hours 32 mins H2O cluster version:
3.12.0.1 H2O cluster version age:
8 days H2O cluster name:
H2O_from_python_phall_51a0jp H2O cluster total nodes:
1 H2O cluster free memory:
3.032 Gb H2O cluster total cores:
8 H2O cluster allowed cores:
8 H2O cluster status:
locked, healthy H2O connection url:
http://localhost:54321 H2O connection proxy:
None H2O internal security:
False Python version:
3.5.2 final
In [124]:
train = h2o.import_file('../../03_regression/data/train.csv')
test = h2o.import_file('../../03_regression/data/test.csv')
# bug fix - from Keston
dummy_col = np.random.rand(test.shape[0])
test = test.cbind(h2o.H2OFrame(dummy_col))
cols = test.columns
cols[-1] = 'SalePrice'
test.columns = cols
print(train.shape)
print(test.shape)
(1460, 81)
(1459, 81)
In [125]:
def get_type_lists(frame=train, rejects=['Id', 'SalePrice']):
"""Creates lists of numeric and categorical variables.
:param frame: The frame from which to determine types.
:param rejects: Variable names not to be included in returned lists.
:return: Tuple of lists for numeric and categorical variables in the frame.
"""
nums, cats = [], []
for key, val in frame.types.items():
if key not in rejects:
if val == 'enum':
cats.append(key)
else:
nums.append(key)
print('Numeric =', nums)
print()
print('Categorical =', cats)
return nums, cats
In [126]:
original_nums, cats = get_type_lists()
Numeric = ['FullBath', 'TotalBsmtSF', 'KitchenAbvGr', 'BsmtFinSF2', 'TotRmsAbvGrd', 'MSSubClass', 'MasVnrArea', 'GrLivArea', 'BsmtFullBath', 'YearRemodAdd', 'BsmtFinSF1', 'Fireplaces', '2ndFlrSF', 'MoSold', 'ScreenPorch', 'PoolArea', 'OverallQual', '3SsnPorch', 'YrSold', 'LowQualFinSF', 'BsmtHalfBath', 'GarageYrBlt', 'EnclosedPorch', 'LotFrontage', 'WoodDeckSF', 'MiscVal', 'BsmtUnfSF', 'GarageArea', 'BedroomAbvGr', 'OpenPorchSF', 'LotArea', 'OverallCond', 'GarageCars', 'HalfBath', 'YearBuilt', '1stFlrSF']
Categorical = ['KitchenQual', 'Electrical', 'LotShape', 'SaleType', 'LandContour', 'LandSlope', 'GarageType', 'BsmtExposure', 'MasVnrType', 'GarageCond', 'ExterQual', 'Street', 'Functional', 'Alley', 'BsmtQual', 'HeatingQC', 'BsmtFinType2', 'RoofMatl', 'GarageQual', 'CentralAir', 'GarageFinish', 'HouseStyle', 'RoofStyle', 'Utilities', 'Neighborhood', 'Condition2', 'Exterior2nd', 'BldgType', 'SaleCondition', 'BsmtCond', 'LotConfig', 'Condition1', 'Fence', 'Foundation', 'PoolQC', 'PavedDrive', 'MiscFeature', 'Exterior1st', 'MSZoning', 'FireplaceQu', 'ExterCond', 'BsmtFinType1', 'Heating']
In [127]:
train, valid = train.split_frame([0.7], seed=12345)
print(train.shape)
print(valid.shape)
(1001, 81)
(459, 81)
In [128]:
# median usually better than mean
# (_ signifies temporary throw-away variable, used to suppress output)
_ = train[['MasVnrArea', 'GarageYrBlt', 'LotFrontage']].impute(method='median')
_ = valid[['MasVnrArea', 'GarageYrBlt', 'LotFrontage']].impute(method='median')
_ = test[['BsmtHalfBath', 'BsmtFinSF1', 'BsmtFullBath', 'BsmtFinSF2', 'BsmtUnfSF', 'MasVnrArea',
'GarageYrBlt', 'LotFrontage', 'GarageCars', 'TotalBsmtSF', 'GarageArea']].impute(method='median')
http://helios.mm.di.uoa.gr/~rouvas/ssi/sigkdd/sigkdd.vol3.1/barreca.ps
In [129]:
def target_encoder(training_frame, test_frame, x, y, lambda_=0.15, threshold=150, test=False):
""" Applies simple target encoding to categorical variables.
:param training_frame: Training frame which to create target means and to be encoded.
:param test_frame: Test frame to be encoded using information from training frame.
:param x: Name of input variable to be encoded.
:param y: Name of target variable to use for encoding.
:param lambda_: Balance between level mean and overall mean for small groups.
:param threshold: Number below which a level is considered small enough to be shrunken.
:param test: Whether or not to print the row_val_dict for testing purposes.
:return: Tuple of encoded variable from train and test set as H2OFrames.
"""
# convert to pandas
trdf = training_frame.as_data_frame().loc[:, [x,y]] # df
tss = test_frame.as_data_frame().loc[:, x] # series
# create dictionary of level:encode val
encode_name = x + '_Tencode'
overall_mean = trdf[y].mean()
row_val_dict = {}
for level in trdf[x].unique():
level_df = trdf[trdf[x] == level][y]
level_n = level_df.shape[0]
level_mean = level_df.mean()
if level_n >= threshold:
row_val_dict[level] = level_mean
else:
row_val_dict[level] = ((1 - lambda_) * level_mean) +\
(lambda_ * overall_mean)
row_val_dict[np.nan] = overall_mean # handle missing values
if test:
print(row_val_dict)
# apply the transform to training data
trdf[encode_name] = trdf[x].apply(lambda i: row_val_dict[i])
# apply the transform to test data
tsdf = pd.DataFrame(columns=[x, encode_name])
tsdf[x] = tss
tsdf.loc[:, encode_name] = overall_mean # handle previously unseen values
# handle values that are seen in tsdf but not row_val_dict
for i, col_i in enumerate(tsdf[x]):
try:
row_val_dict[col_i]
except:
# a value that appeared in tsdf isn't in the row_val_dict so just
# make it the overall_mean
row_val_dict[col_i] = overall_mean
tsdf[encode_name] = tsdf[x].apply(lambda i: row_val_dict[i])
# convert back to H2O
trdf = h2o.H2OFrame(trdf[encode_name].as_matrix())
trdf.columns = [encode_name]
tsdf = h2o.H2OFrame(tsdf[encode_name].as_matrix())
tsdf.columns = [encode_name]
return (trdf, tsdf)
In [130]:
total = len(cats)
for i, var in enumerate(cats):
tr_enc, _ = target_encoder(train, test, var, 'SalePrice')
v_enc, ts_enc = target_encoder(valid, test, var, 'SalePrice')
print('Encoding: ' + var + ' (' + str(i+1) + '/' + str(total) + ') ...')
train = train.cbind(tr_enc)
valid = valid.cbind(v_enc)
test = test.cbind(ts_enc)
print('Done.')
Encoding: KitchenQual (1/43) ...
Encoding: Electrical (2/43) ...
Encoding: LotShape (3/43) ...
Encoding: SaleType (4/43) ...
Encoding: LandContour (5/43) ...
Encoding: LandSlope (6/43) ...
Encoding: GarageType (7/43) ...
Encoding: BsmtExposure (8/43) ...
Encoding: MasVnrType (9/43) ...
Encoding: GarageCond (10/43) ...
Encoding: ExterQual (11/43) ...
Encoding: Street (12/43) ...
Encoding: Functional (13/43) ...
Encoding: Alley (14/43) ...
Encoding: BsmtQual (15/43) ...
Encoding: HeatingQC (16/43) ...
Encoding: BsmtFinType2 (17/43) ...
Encoding: RoofMatl (18/43) ...
Encoding: GarageQual (19/43) ...
Encoding: CentralAir (20/43) ...
Encoding: GarageFinish (21/43) ...
Encoding: HouseStyle (22/43) ...
Encoding: RoofStyle (23/43) ...
Encoding: Utilities (24/43) ...
Encoding: Neighborhood (25/43) ...
Encoding: Condition2 (26/43) ...
Encoding: Exterior2nd (27/43) ...
Encoding: BldgType (28/43) ...
Encoding: SaleCondition (29/43) ...
Encoding: BsmtCond (30/43) ...
Encoding: LotConfig (31/43) ...
Encoding: Condition1 (32/43) ...
Encoding: Fence (33/43) ...
Encoding: Foundation (34/43) ...
Encoding: PoolQC (35/43) ...
Encoding: PavedDrive (36/43) ...
Encoding: MiscFeature (37/43) ...
Encoding: Exterior1st (38/43) ...
Encoding: MSZoning (39/43) ...
Encoding: FireplaceQu (40/43) ...
Encoding: ExterCond (41/43) ...
Encoding: BsmtFinType1 (42/43) ...
Encoding: Heating (43/43) ...
Done.
In [131]:
encoded_nums, cats = get_type_lists(frame=train)
Numeric = ['ExterCond_Tencode', 'TotalBsmtSF', 'Electrical_Tencode', 'KitchenAbvGr', 'LandContour_Tencode', 'FireplaceQu_Tencode', 'Alley_Tencode', 'BsmtFinSF2', 'Foundation_Tencode', 'TotRmsAbvGrd', 'MSSubClass', 'MasVnrArea', 'Condition2_Tencode', 'GrLivArea', 'BsmtFullBath', 'YearRemodAdd', 'BsmtFinSF1', 'BsmtExposure_Tencode', 'Fireplaces', '2ndFlrSF', 'MSZoning_Tencode', 'RoofMatl_Tencode', 'MoSold', 'ScreenPorch', 'PoolArea', 'Exterior1st_Tencode', '3SsnPorch', '1stFlrSF', 'FullBath', 'YrSold', 'SaleCondition_Tencode', 'BsmtQual_Tencode', 'PavedDrive_Tencode', 'BsmtHalfBath', 'CentralAir_Tencode', 'GarageYrBlt', 'LandSlope_Tencode', 'RoofStyle_Tencode', 'EnclosedPorch', 'ExterQual_Tencode', 'LowQualFinSF', 'GarageCond_Tencode', 'LotFrontage', 'LotConfig_Tencode', 'WoodDeckSF', 'Exterior2nd_Tencode', 'BsmtCond_Tencode', 'Fence_Tencode', 'MiscVal', 'BsmtUnfSF', 'Street_Tencode', 'GarageFinish_Tencode', 'Condition1_Tencode', 'PoolQC_Tencode', 'KitchenQual_Tencode', 'GarageArea', 'Functional_Tencode', 'BedroomAbvGr', 'OpenPorchSF', 'HeatingQC_Tencode', 'LotShape_Tencode', 'LotArea', 'BsmtFinType1_Tencode', 'BldgType_Tencode', 'BsmtFinType2_Tencode', 'Heating_Tencode', 'YearBuilt', 'Neighborhood_Tencode', 'OverallCond', 'GarageQual_Tencode', 'MasVnrType_Tencode', 'GarageCars', 'GarageType_Tencode', 'Utilities_Tencode', 'HalfBath', 'SaleType_Tencode', 'HouseStyle_Tencode', 'MiscFeature_Tencode', 'OverallQual']
Categorical = ['KitchenQual', 'Electrical', 'LotShape', 'Condition1', 'SaleType', 'LandContour', 'LandSlope', 'GarageType', 'BsmtExposure', 'MasVnrType', 'MSZoning', 'GarageCond', 'ExterQual', 'Street', 'Functional', 'Alley', 'BsmtQual', 'HeatingQC', 'BsmtFinType2', 'RoofMatl', 'GarageQual', 'CentralAir', 'GarageFinish', 'HouseStyle', 'RoofStyle', 'Utilities', 'Neighborhood', 'Condition2', 'Exterior2nd', 'BldgType', 'SaleCondition', 'BsmtCond', 'LotConfig', 'Fence', 'Foundation', 'PoolQC', 'Exterior1st', 'PavedDrive', 'MiscFeature', 'Heating', 'FireplaceQu', 'ExterCond', 'BsmtFinType1']
In [132]:
print('Imputed and encoded numeric training data:')
train[encoded_nums].describe() #79 numeric columns w/ no missing
print('--------------------------------------------------------------------------------')
print('Imputed and encoded numeric validation data:')
valid[encoded_nums].describe() #79 numeric columns w/ no missing
print('--------------------------------------------------------------------------------')
print('Imputed and encoded numeric test data:')
test[encoded_nums].describe() #79 numeric columns w/ no missing
Imputed and encoded numeric training data:
Rows:1001
Cols:79
ExterCond_Tencode TotalBsmtSF Electrical_Tencode KitchenAbvGr LandContour_Tencode FireplaceQu_Tencode Alley_Tencode BsmtFinSF2 Foundation_Tencode TotRmsAbvGrd MSSubClass MasVnrArea Condition2_Tencode GrLivArea BsmtFullBath YearRemodAdd BsmtFinSF1 BsmtExposure_Tencode Fireplaces 2ndFlrSF MSZoning_Tencode RoofMatl_Tencode MoSold ScreenPorch PoolArea Exterior1st_Tencode 3SsnPorch 1stFlrSF FullBath YrSold SaleCondition_Tencode BsmtQual_Tencode PavedDrive_Tencode BsmtHalfBath CentralAir_Tencode GarageYrBlt LandSlope_Tencode RoofStyle_Tencode EnclosedPorch ExterQual_Tencode LowQualFinSF GarageCond_Tencode LotFrontage LotConfig_Tencode WoodDeckSF Exterior2nd_Tencode BsmtCond_Tencode Fence_Tencode MiscVal BsmtUnfSF Street_Tencode GarageFinish_Tencode Condition1_Tencode PoolQC_Tencode KitchenQual_Tencode GarageArea Functional_Tencode BedroomAbvGr OpenPorchSF HeatingQC_Tencode LotShape_Tencode LotArea BsmtFinType1_Tencode BldgType_Tencode BsmtFinType2_Tencode Heating_Tencode YearBuilt Neighborhood_Tencode OverallCond GarageQual_Tencode MasVnrType_Tencode GarageCars GarageType_Tencode Utilities_Tencode HalfBath SaleType_Tencode HouseStyle_Tencode MiscFeature_Tencode OverallQual type real int real int real real real int real int int real real int int int int real int int real real int int int real int int int int real real real int real real real real int real int real real real int real real real int int real real real real real int real int int real real int real real real real int real int real real int real real int real real real int mins 122047.14941169939 0.0 84275.79385614385 0.0 145140.16285614387 141462.34885614386 128075.200999001 0.0 121726.89385614387 3.0 20.0 0.0 108075.79385614385 480.0 0.0 1950.0 0.0 167645.4123076923 0.0 0.0 78614.79385614385 143775.79385614386 1.0 0.0 0.0 78325.79385614385 0.0 480.0 0.0 2006.0 115832.04385614385 121216.12093947716 129253.89464979463 0.0 119608.23368665231 1908.0 181486.5182747485 161577.2224275724 0.0 116078.96885614384 0.0 112070.79385614385 21.0 176473.2899159664 0.0 129978.23968947721 84275.79385614385 141306.73814185814 0.0 0.0 146350.10385614386 141354.57177033494 134468.29385614386 182171.95904095902 124936.94820396995 0.0 110059.12718947718 0.0 0.0 135668.69902855766 163944.59385614382 1300.0 150410.4464877228 138273.46052281052 154536.9355228105 93469.96052281052 1875.0 109690.79385614385 2.0 96813.29385614385 155578.6188811189 0.0 125174.9605228105 144200.79385614386 0.0 125968.29385614385 118907.22242757239 140375.79385614386 2.0 mean 182637.23505924645 1063.2387612387613 182952.64128239392 1.046953046953047 182186.73299732237 200266.80114860163 180171.38546862727 41.64935064935065 183119.90242260235 6.512487512487512 57.08791208791209 106.91146881287727 182224.4420403772 1519.8011988011988 0.42657342657342656 1985.138861138861 445.5994005994006 182844.62529074325 0.6203796203796204 341.7872127872128 183387.92640181992 182033.94005549894 6.362637362637362 14.763236763236764 3.3766233766233764 183565.71379414792 3.4565434565434567 1172.0889110889111 1.5744255744255744 2007.828171828172 181541.32494458588 182245.41278741238 182908.18055950044 0.059940059940059943 182822.70708043204 1978.734522560336 182145.0556687069 182159.0086938536 21.257742257742258 181095.69602749898 5.9250749250749255 186002.74671607107 70.59975669099758 181772.16118142597 91.07392607392607 183994.52609268852 184043.11900766566 177450.87030976015 39.684315684315685 575.99000999001 182203.5349842964 185712.8721618042 182645.11776425372 182802.82568320786 180810.97023994988 477.46853146853147 182576.24533688094 2.871128871128871 44.92407592407592 182409.7085632649 181993.92786324563 10628.262737262738 185645.79515235015 182849.79797600003 184056.75787594018 182323.57985955098 1972.2987012987012 182171.95904095905 5.583416583416583 186018.3297154893 180574.40004970055 1.7932067932067932 185255.62265751234 182178.65314071544 0.38161838161838163 181180.3311701286 183188.25635258848 181198.19224147475 6.1448551448551445 maxs 185708.33940774488 6110.0 187738.31270358307 3.0 215016.8662245649 306119.08332982805 182171.95904095902 1127.0 226465.8274336283 14.0 190.0 1378.0 269469.54385614384 5642.0 3.0 2010.0 5644.0 243510.2073978105 3.0 2065.0 204495.20385614387 669075.7938561438 12.0 440.0 738.0 250025.79385614384 508.0 4692.0 3.0 2010.0 260380.61674771016 312352.66653056245 187523.8671023965 2.0 186782.0 2010.0 200379.84385614382 248325.79385614384 552.0 348876.58744588745 528.0 188146.7502726281 313.0 215932.78135614385 736.0 298475.79385614384 212500.14385614384 182171.95904095902 15500.0 2153.0 182383.5220883534 243708.832 219155.3393106893 443825.79385614384 305958.08769176033 1418.0 185063.63879957132 8.0 523.0 216426.0 220137.0973044197 164660.0 236446.98648648648 187595.7541966427 218122.46052281052 185483.95814185814 2010.0 329868.3581418581 9.0 222252.04385614384 256064.37787676242 4.0 243875.54558028182 182216.631 2.0 263880.6876061438 210965.119205298 239825.79385614384 10.0 sigma 9945.861000354022 450.46835397846087 16469.485082849522 0.2253734828971829 11064.930655592714 24220.26519043972 9252.695490054044 148.91838678308974 39735.240377141236 1.5874803640026247 42.22127738162672 179.4411497100248 6389.719881512633 520.2774292995626 0.5204355357324736 20.606836203107406 467.1732658871228 24443.64548833232 0.6416730131026672 432.9085950594232 22616.419950331485 15980.206375764046 2.67681950033293 54.16981527671003 43.98791894358056 29589.150408848316 29.83605804459362 392.4739572085174 0.553809800116696 1.3169835057606303 24904.825355766643 49068.18360107548 15415.629575665145 0.24577143121932704 15828.294334486285 24.075751996724104 1835.4154172265178 20695.377655471337 61.04442237008638 52277.89924581869 49.51948485817861 10671.429849329988 22.749666370110532 10669.040225587902 120.05044160464604 30224.673393447127 10415.5288163924 11076.460716121788 516.2493547150991 444.45750741786316 2541.5759666990493 41548.00781303608 13080.759735205764 11861.801229912977 49556.81599252628 209.92257920181254 9673.472750816674 0.8052177496650359 63.01874506660879 35398.540443061385 21926.25817117466 9442.373107111374 33760.02487150487 13615.684128255085 7125.75433938659 8588.039549532366 29.873026099002576 51529.93244080358 1.0887078190610717 11950.130371967634 32873.17832435439 0.7349787794173422 34065.80911242865 1201.565692600516 0.500221729058003 25459.930478733873 21247.33154021499 5900.1270688417535 1.3535124690951332 zeros 0 25 0 1 0 0 0 894 0 0 0 570 0 0 586 0 326 0 466 572 0 0 0 921 995 0 985 0 6 0 0 0 0 943 0 0 0 0 867 0 984 0 0 0 523 0 0 0 969 78 0 0 0 0 0 48 0 4 460 0 0 0 0 0 0 0 0 0 0 0 0 48 0 0 626 0 0 0 0 missing 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 185708.33940774488 856.0 187738.31270358307 1.0 182282.48766816143 182171.95904095902 182171.95904095902 0.0 226465.8274336283 8.0 60.0 196.0 182525.73333333334 1710.0 1.0 2003.0 706.0 167645.4123076923 0.0 854.0 192391.8022670025 181235.93597560975 2.0 0.0 0.0 216859.7290502793 0.0 856.0 2.0 2008.0 177020.8800489596 200924.0538641686 187523.8671023965 0.0 186782.0 2003.0 181982.57594936708 171522.79741935484 0.0 229333.4454277286 0.0 188146.7502726281 65.0 176473.2899159664 0.0 216626.9093484419 184737.95170142702 182171.95904095902 0.0 150.0 182383.5220883534 200494.42807017543 185776.46347031964 182171.95904095902 212221.98514851482 548.0 185063.63879957132 3.0 61.0 216426.0 165131.57073954982 8450.0 236446.98648648648 187595.7541966427 185630.71806674334 183201.27365208542 2003.0 197940.3021894772 5.0 188334.07174392935 203515.30891719743 2.0 203664.60358890702 182216.631 1.0 174574.41216991964 210965.119205298 182171.95904095902 7.0 1 185708.33940774488 1262.0 187738.31270358307 1.0 182282.48766816143 204076.0357142857 182171.95904095902 0.0 150397.2807424594 6.0 20.0 0.0 182525.73333333334 1262.0 0.0 1976.0 978.0 243510.2073978105 1.0 0.0 192391.8022670025 181235.93597560975 5.0 0.0 0.0 155330.24861804862 0.0 1262.0 2.0 2007.0 177020.8800489596 200924.0538641686 187523.8671023965 1.0 186782.0 1976.0 181982.57594936708 171522.79741935484 0.0 144619.2755267423 0.0 188146.7502726281 80.0 178818.25814185815 298.0 155721.17213200592 184737.95170142702 182171.95904095902 0.0 284.0 182383.5220883534 200494.42807017543 147024.1605228105 182171.95904095902 139811.59481037923 460.0 185063.63879957132 3.0 0.0 216426.0 165131.57073954982 9600.0 161782.77448994666 187595.7541966427 185630.71806674334 183201.27365208542 1976.0 218575.79385614384 8.0 188334.07174392935 155578.6188811189 2.0 203664.60358890702 182216.631 0.0 174574.41216991964 178321.97183098592 182171.95904095902 6.0 2 185708.33940774488 920.0 187738.31270358307 1.0 182282.48766816143 204076.0357142857 182171.95904095902 0.0 226465.8274336283 6.0 60.0 162.0 182525.73333333334 1786.0 1.0 2002.0 486.0 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--------------------------------------------------------------------------------
Imputed and encoded numeric validation data:
Rows:459
Cols:79
ExterCond_Tencode TotalBsmtSF Electrical_Tencode KitchenAbvGr LandContour_Tencode FireplaceQu_Tencode Alley_Tencode BsmtFinSF2 Foundation_Tencode TotRmsAbvGrd MSSubClass MasVnrArea Condition2_Tencode GrLivArea BsmtFullBath YearRemodAdd BsmtFinSF1 BsmtExposure_Tencode Fireplaces 2ndFlrSF MSZoning_Tencode RoofMatl_Tencode MoSold ScreenPorch PoolArea Exterior1st_Tencode 3SsnPorch 1stFlrSF FullBath YrSold SaleCondition_Tencode BsmtQual_Tencode PavedDrive_Tencode BsmtHalfBath CentralAir_Tencode GarageYrBlt LandSlope_Tencode RoofStyle_Tencode EnclosedPorch ExterQual_Tencode LowQualFinSF GarageCond_Tencode LotFrontage LotConfig_Tencode WoodDeckSF Exterior2nd_Tencode BsmtCond_Tencode Fence_Tencode MiscVal BsmtUnfSF Street_Tencode GarageFinish_Tencode Condition1_Tencode PoolQC_Tencode KitchenQual_Tencode GarageArea Functional_Tencode BedroomAbvGr OpenPorchSF HeatingQC_Tencode LotShape_Tencode LotArea BsmtFinType1_Tencode BldgType_Tencode BsmtFinType2_Tencode Heating_Tencode YearBuilt Neighborhood_Tencode OverallCond GarageQual_Tencode MasVnrType_Tencode GarageCars GarageType_Tencode Utilities_Tencode HalfBath SaleType_Tencode HouseStyle_Tencode MiscFeature_Tencode OverallQual type real int real int real real real int real int int real real int int int int real int int real real int int int real int int int int real real real int real real real real int real int real real real int real real real int int real real real real real int real int int real real int real real real real int real int real real int real real int real real real int mins 91754.02450980392 0.0 100143.52450980392 1.0 163075.56297134238 133191.52450980392 134607.54723707662 0.0 110363.31736694675 2.0 20.0 0.0 84954.02450980392 334.0 0.0 1950.0 0.0 161376.63366336632 0.0 0.0 118217.35784313723 175904.02450980392 1.0 0.0 0.0 96429.02450980392 0.0 334.0 0.0 2006.0 143816.52450980392 134771.7517825312 114840.96895424835 0.0 111601.52450980392 1900.0 175531.83179723503 139864.02450980392 0.0 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138313.57142857142 184063.06872037915 0.0 184861.0283687943 1966.0 175531.83179723503 171401.71038251367 0.0 143747.87889273354 0.0 187300.52567237162 68.85751978891821 221371.6687405731 0.0 169568.25527903467 181115.23 151206.9049445865 0.0 1228.0 178405.7096069869 143948.79679144386 181573.27604166663 178193.4967320261 211880.81318681315 271.0 179857.76346604215 3.0 65.0 158961.70308123247 194850.58566088302 8544.0 168970.1659826721 181805.66321243523 182592.86046511628 179414.41573033712 1966.0 143162.40700980392 6.0 185601.24938271602 157482.0 1.0 201051.3968871595 178193.4967320261 1.0 170822.7626262626 170914.57205240175 178193.4967320261 5.0 9 180398.05693069307 1097.0 184788.65617433414 1.0 175715.7828162291 178193.4967320261 178193.4967320261 0.0 222366.88205128204 6.0 20.0 0.0 178218.27472527474 1097.0 0.0 1995.0 0.0 161376.63366336632 0.0 0.0 187920.61064425771 176671.8111111111 6.0 0.0 0.0 206602.9363057325 0.0 1097.0 1.0 2009.0 171302.3622047244 206633.03141361254 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--------------------------------------------------------------------------------
Imputed and encoded numeric test data:
Rows:1459
Cols:79
ExterCond_Tencode TotalBsmtSF Electrical_Tencode KitchenAbvGr LandContour_Tencode FireplaceQu_Tencode Alley_Tencode BsmtFinSF2 Foundation_Tencode TotRmsAbvGrd MSSubClass MasVnrArea Condition2_Tencode GrLivArea BsmtFullBath YearRemodAdd BsmtFinSF1 BsmtExposure_Tencode Fireplaces 2ndFlrSF MSZoning_Tencode RoofMatl_Tencode MoSold ScreenPorch PoolArea Exterior1st_Tencode 3SsnPorch 1stFlrSF FullBath YrSold SaleCondition_Tencode BsmtQual_Tencode PavedDrive_Tencode BsmtHalfBath CentralAir_Tencode GarageYrBlt LandSlope_Tencode RoofStyle_Tencode EnclosedPorch ExterQual_Tencode LowQualFinSF GarageCond_Tencode LotFrontage LotConfig_Tencode WoodDeckSF Exterior2nd_Tencode BsmtCond_Tencode Fence_Tencode MiscVal BsmtUnfSF Street_Tencode GarageFinish_Tencode Condition1_Tencode PoolQC_Tencode KitchenQual_Tencode GarageArea Functional_Tencode BedroomAbvGr OpenPorchSF HeatingQC_Tencode LotShape_Tencode LotArea BsmtFinType1_Tencode BldgType_Tencode BsmtFinType2_Tencode Heating_Tencode YearBuilt Neighborhood_Tencode OverallCond GarageQual_Tencode MasVnrType_Tencode GarageCars GarageType_Tencode Utilities_Tencode HalfBath SaleType_Tencode HouseStyle_Tencode MiscFeature_Tencode OverallQual type real real real int real real real real real int int real real int real int real real int int real real int int int real int int int int real real real real real real real real int real int real real real int real real real int real real real real real real real real int int real real int real real real real int real int real real real real real int real real real int mins 91754.02450980392 0.0 100143.52450980392 0.0 163075.56297134238 133191.52450980392 134607.54723707662 0.0 110363.31736694675 3.0 20.0 0.0 127029.02450980392 407.0 0.0 1950.0 0.0 161376.63366336632 0.0 0.0 118217.35784313723 175904.02450980392 1.0 0.0 0.0 96429.02450980392 0.0 407.0 0.0 2006.0 143816.52450980392 134771.7517825312 114840.96895424835 0.0 111601.52450980392 1895.0 175531.83179723503 139864.02450980392 0.0 91042.14950980392 0.0 118776.94117647059 21.0 165751.57330498463 0.0 106204.02450980392 78579.02450980392 133419.96200980392 0.0 0.0 95579.02450980392 143948.79679144386 150223.0311764706 178193.4967320261 105130.89950980392 0.0 84954.02450980392 0.0 0.0 100679.02450980392 163981.4191419142 1470.0 146338.19117647054 128987.56617647059 145091.52450980392 77729.02450980392 1879.0 112866.7168174962 1.0 134853.20367647058 131576.52450980392 0.0 111434.07450980392 178193.4967320261 0.0 107734.02450980392 122402.59593837534 73479.02450980392 1.0 mean 178138.29247727426 1046.1179698216736 180126.1193152811 1.0424948594928032 179174.226337526 194452.82035270397 176172.85149770897 52.61934156378601 181006.2901857593 6.385195339273475 57.37834132967786 100.70914127423823 178369.39980873463 1486.0459218642907 0.4344543582704186 1983.6627827278958 439.2037037037037 179354.8610184363 0.5812200137080192 325.9677861549006 179232.09043019178 176751.75320615337 6.104180945853324 17.064427690198766 1.7443454420836186 179810.686881209 1.794379712131597 1156.534612748458 1.570938999314599 2007.7697052775875 176492.09637795313 181062.10689687656 177090.15440559445 0.06520247083047358 179789.60281035837 1977.7212165097756 177395.21920765378 177370.7037166422 24.24331734064427 177673.68837649448 3.5435229609321452 184620.93755108098 68.58035714285714 178278.00897433652 93.17477724468814 180995.23531825157 179283.61725237884 174246.9783571091 58.16792323509253 554.2949245541838 178065.09267032953 180987.1789957136 179939.77372747526 178193.4967320261 179340.3962464452 472.7688614540466 178383.03720943845 2.8540095956134337 48.3139136394791 182227.81273899964 176844.0836371834 9819.161069225496 182091.99147253158 178370.36965515942 180689.57815766838 179140.34833949362 1971.357779300891 179660.9318538107 5.5538039753255655 182567.66333366183 178207.07986924512 1.7661179698216736 186339.7089378328 178193.4967320261 0.3776559287183002 175933.10715345875 176296.0327526845 177606.24421888925 6.078821110349555 maxs 197862.35784313726 5095.0 184788.65617433414 2.0 252389.9995098039 345181.5245098039 180974.4445098039 1526.0 222366.88205128204 15.0 190.0 1290.0 302979.0245098039 5095.0 3.0 2010.0 4010.0 252970.21398348815 4.0 1862.0 219311.6970098039 296434.0245098039 12.0 576.0 800.0 230256.21200980392 360.0 5095.0 4.0 2010.0 255001.6042717087 287410.74022408965 184063.06872037915 2.0 184861.0283687943 2207.0 219485.84269162212 205162.1274859944 1012.0 311103.9129713424 1064.0 187300.52567237162 200.0 221371.6687405731 1424.0 237481.8022875817 204324.73418722322 181956.919246646 17000.0 2140.0 178405.7096069869 223156.8495098039 311479.0245098039 178193.4967320261 307728.63562091504 1488.0 181312.14950980392 6.0 742.0 211491.75330396474 257372.27450980392 56600.0 224699.7863950498 183943.1995098039 194068.52450980392 179414.41573033712 2010.0 288359.0245098039 9.0 194951.10784313726 243111.468058191 5.0 243247.17284313726 178193.4967320261 2.0 255001.6042717087 203633.455628685 188229.02450980392 10.0 sigma 13372.26174917729 442.7467124418268 15963.223969023631 0.20847167211324957 16731.14952435502 26907.81955497986 9344.441064269215 176.69330052860707 38032.67490944731 1.5088945751925409 42.74687961871821 176.70982437239402 6115.23069917075 485.5660986532533 0.5302834550232052 21.130466908170447 455.11188761326986 28882.71553690542 0.6474204530720101 420.6102264691034 23489.406573197466 3137.2359609732157 2.722431901250806 56.609762906910554 30.491646305342066 27215.585184717398 20.2078417514965 398.165819592379 0.5551898880356612 1.3017401493802643 24614.448808109904 46910.286847951735 20263.256532577616 0.2522950420673912 18602.363953739645 25.714450581225353 8806.028004426134 13409.559779876743 67.22776541956969 48363.331700835224 44.043250864375565 11764.269564905075 20.561227856718492 11456.730191238737 127.74488151907603 25951.286853243677 13660.62136447893 9594.992921526902 630.806977589708 437.11050793486925 5302.397777524548 33850.87496256971 15269.946772589561 5.126500680162683e-12 50064.36965926004 216.97416468040285 7764.753398575106 0.8297883627354511 68.88336411315397 30689.890057024284 19890.63718996989 4955.51732692645 28488.122976770395 11421.922290373092 6944.959535831843 4120.712522628475 30.39007083720529 48658.82908689111 1.1137396032892082 11447.223084004698 28422.54135345877 0.7756789263494978 30059.124281346794 5.126500680162683e-12 0.5030166769415858 24826.25863986618 20533.377591439952 4663.358457904923 1.4368116404730185 zeros 0 41 0 2 0 0 0 1278 0 0 0 877 0 0 849 0 462 0 730 839 0 0 0 1319 1453 0 1446 0 3 0 0 0 0 1364 0 0 0 0 1208 0 1445 0 0 0 762 0 0 0 1408 123 0 0 0 0 0 76 0 2 642 0 0 0 0 0 0 0 0 0 0 0 0 76 0 0 921 0 0 0 0 missing 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 180398.05693069307 882.0 184788.65617433414 1.0 175715.7828162291 178193.4967320261 178193.4967320261 144.0 148549.72906403942 5.0 20.0 0.0 178218.27472527474 896.0 0.0 1961.0 468.0 161376.63366336632 0.0 0.0 134962.35784313726 176671.8111111111 6.0 120.0 0.0 206602.9363057325 0.0 896.0 1.0 2010.0 171302.3622047244 138313.57142857142 184063.06872037915 0.0 184861.0283687943 1961.0 175531.83179723503 171401.71038251367 0.0 143747.87889273354 0.0 187300.52567237162 80.0 177919.81360946747 140.0 209302.39072847684 181115.23 151206.9049445865 0.0 270.0 178405.7096069869 143948.79679144386 150223.0311764706 178193.4967320261 140285.62820512822 730.0 179857.76346604215 2.0 0.0 149413.2797336845 163981.4191419142 11622.0 156012.9060887513 181805.66321243523 168862.10143288082 179414.41573033712 1961.0 152080.32258672698 6.0 185601.24938271602 157482.0 1.0 201051.3968871595 178193.4967320261 0.0 170822.7626262626 170914.57205240175 178193.4967320261 5.0 1 180398.05693069307 1329.0 184788.65617433414 1.0 175715.7828162291 178193.4967320261 178193.4967320261 0.0 148549.72906403942 6.0 20.0 108.0 178218.27472527474 1329.0 0.0 1958.0 923.0 161376.63366336632 0.0 0.0 187920.61064425771 176671.8111111111 6.0 0.0 0.0 154595.81798806478 0.0 1329.0 1.0 2010.0 171302.3622047244 138313.57142857142 184063.06872037915 0.0 184861.0283687943 1958.0 175531.83179723503 205162.1274859944 0.0 143747.87889273354 0.0 187300.52567237162 81.0 165751.57330498463 393.0 163767.73719637108 181115.23 178193.4967320261 12500.0 406.0 178405.7096069869 143948.79679144386 181573.27604166663 178193.4967320261 211880.81318681315 312.0 179857.76346604215 3.0 36.0 149413.2797336845 194850.58566088302 14267.0 169309.44117647054 181805.66321243523 182592.86046511628 179414.41573033712 1958.0 152080.32258672698 6.0 185601.24938271602 203114.2504640024 1.0 201051.3968871595 178193.4967320261 1.0 170822.7626262626 170914.57205240175 188229.02450980392 6.0 2 180398.05693069307 928.0 184788.65617433414 1.0 175715.7828162291 205118.42900418595 178193.4967320261 0.0 222366.88205128204 6.0 60.0 0.0 178218.27472527474 1629.0 0.0 1998.0 791.0 161376.63366336632 1.0 701.0 187920.61064425771 176671.8111111111 3.0 0.0 0.0 206602.9363057325 0.0 928.0 2.0 2010.0 171302.3622047244 206633.03141361254 184063.06872037915 0.0 184861.0283687943 1997.0 175531.83179723503 171401.71038251367 0.0 143747.87889273354 0.0 187300.52567237162 74.0 177919.81360946747 212.0 209302.39072847684 181115.23 151206.9049445865 0.0 137.0 178405.7096069869 223156.8495098039 181573.27604166663 178193.4967320261 140285.62820512822 482.0 179857.76346604215 3.0 34.0 158961.70308123247 194850.58566088302 13830.0 224699.7863950498 181805.66321243523 182592.86046511628 179414.41573033712 1997.0 191808.05969498912 5.0 185601.24938271602 157482.0 2.0 201051.3968871595 178193.4967320261 1.0 170822.7626262626 203633.455628685 178193.4967320261 5.0 3 180398.05693069307 926.0 184788.65617433414 1.0 175715.7828162291 219907.18575980392 178193.4967320261 0.0 222366.88205128204 7.0 60.0 20.0 178218.27472527474 1604.0 0.0 1998.0 602.0 161376.63366336632 1.0 678.0 187920.61064425771 176671.8111111111 6.0 0.0 0.0 206602.9363057325 0.0 926.0 2.0 2010.0 171302.3622047244 138313.57142857142 184063.06872037915 0.0 184861.0283687943 1998.0 175531.83179723503 171401.71038251367 0.0 143747.87889273354 0.0 187300.52567237162 78.0 177919.81360946747 360.0 209302.39072847684 181115.23 178193.4967320261 0.0 324.0 178405.7096069869 223156.8495098039 181573.27604166663 178193.4967320261 211880.81318681315 470.0 179857.76346604215 3.0 36.0 211491.75330396474 194850.58566088302 9978.0 224699.7863950498 181805.66321243523 182592.86046511628 179414.41573033712 1998.0 191808.05969498912 6.0 185601.24938271602 203114.2504640024 2.0 201051.3968871595 178193.4967320261 1.0 170822.7626262626 203633.455628685 178193.4967320261 6.0 4 180398.05693069307 1280.0 184788.65617433414 1.0 252389.9995098039 178193.4967320261 178193.4967320261 0.0 222366.88205128204 5.0 120.0 0.0 178218.27472527474 1280.0 0.0 1992.0 263.0 161376.63366336632 0.0 0.0 187920.61064425771 176671.8111111111 1.0 144.0 0.0 167128.41844919784 0.0 1280.0 2.0 2010.0 171302.3622047244 206633.03141361254 184063.06872037915 0.0 184861.0283687943 1992.0 175531.83179723503 171401.71038251367 0.0 228065.58659034083 0.0 187300.52567237162 43.0 177919.81360946747 0.0 169568.25527903467 181115.23 178193.4967320261 0.0 1017.0 178405.7096069869 201271.56721053383 181573.27604166663 178193.4967320261 211880.81318681315 506.0 179857.76346604215 2.0 82.0 211491.75330396474 194850.58566088302 5005.0 169309.44117647054 183943.1995098039 182592.86046511628 179414.41573033712 1992.0 288359.0245098039 5.0 185601.24938271602 157482.0 2.0 201051.3968871595 178193.4967320261 0.0 170822.7626262626 170914.57205240175 178193.4967320261 8.0 5 180398.05693069307 763.0 184788.65617433414 1.0 175715.7828162291 205118.42900418595 178193.4967320261 0.0 222366.88205128204 7.0 60.0 0.0 178218.27472527474 1655.0 0.0 1994.0 0.0 161376.63366336632 1.0 892.0 187920.61064425771 176671.8111111111 4.0 0.0 0.0 167128.41844919784 0.0 763.0 2.0 2010.0 171302.3622047244 206633.03141361254 184063.06872037915 0.0 184861.0283687943 1993.0 175531.83179723503 171401.71038251367 0.0 143747.87889273354 0.0 187300.52567237162 75.0 165751.57330498463 157.0 169568.25527903467 181115.23 178193.4967320261 0.0 763.0 178405.7096069869 223156.8495098039 181573.27604166663 178193.4967320261 140285.62820512822 440.0 179857.76346604215 3.0 84.0 158961.70308123247 194850.58566088302 10000.0 168970.1659826721 181805.66321243523 182592.86046511628 179414.41573033712 1993.0 191808.05969498912 5.0 185601.24938271602 157482.0 2.0 201051.3968871595 178193.4967320261 1.0 170822.7626262626 203633.455628685 178193.4967320261 6.0 6 179370.36597321855 1168.0 184788.65617433414 1.0 175715.7828162291 178193.4967320261 178193.4967320261 0.0 222366.88205128204 6.0 20.0 0.0 178218.27472527474 1187.0 1.0 2007.0 935.0 161376.63366336632 0.0 0.0 187920.61064425771 176671.8111111111 3.0 0.0 0.0 167128.41844919784 0.0 1187.0 2.0 2010.0 171302.3622047244 206633.03141361254 184063.06872037915 0.0 184861.0283687943 1992.0 175531.83179723503 171401.71038251367 0.0 143747.87889273354 0.0 187300.52567237162 68.58035714285714 177919.81360946747 483.0 169568.25527903467 181115.23 181956.919246646 500.0 233.0 178405.7096069869 223156.8495098039 181573.27604166663 178193.4967320261 140285.62820512822 420.0 179857.76346604215 3.0 21.0 211491.75330396474 194850.58566088302 7980.0 169309.44117647054 181805.66321243523 182592.86046511628 179414.41573033712 1992.0 191808.05969498912 7.0 185601.24938271602 157482.0 2.0 201051.3968871595 178193.4967320261 0.0 170822.7626262626 170914.57205240175 163465.69117647054 6.0 7 180398.05693069307 789.0 184788.65617433414 1.0 175715.7828162291 219907.18575980392 178193.4967320261 0.0 222366.88205128204 7.0 60.0 0.0 178218.27472527474 1465.0 0.0 1998.0 0.0 161376.63366336632 1.0 676.0 187920.61064425771 176671.8111111111 5.0 0.0 0.0 206602.9363057325 0.0 789.0 2.0 2010.0 171302.3622047244 206633.03141361254 184063.06872037915 0.0 184861.0283687943 1998.0 175531.83179723503 171401.71038251367 0.0 143747.87889273354 0.0 187300.52567237162 63.0 177919.81360946747 0.0 209302.39072847684 181115.23 178193.4967320261 0.0 789.0 178405.7096069869 223156.8495098039 181573.27604166663 178193.4967320261 140285.62820512822 393.0 179857.76346604215 3.0 75.0 158961.70308123247 194850.58566088302 8402.0 168970.1659826721 181805.66321243523 182592.86046511628 179414.41573033712 1998.0 191808.05969498912 5.0 185601.24938271602 157482.0 2.0 201051.3968871595 178193.4967320261 1.0 170822.7626262626 203633.455628685 178193.4967320261 6.0 8 180398.05693069307 1300.0 184788.65617433414 1.0 175715.7828162291 133191.52450980392 178193.4967320261 0.0 222366.88205128204 5.0 20.0 0.0 178218.27472527474 1341.0 1.0 1990.0 637.0 252970.21398348815 1.0 0.0 187920.61064425771 176671.8111111111 2.0 0.0 0.0 167128.41844919784 0.0 1341.0 1.0 2010.0 171302.3622047244 206633.03141361254 184063.06872037915 0.0 184861.0283687943 1990.0 175531.83179723503 171401.71038251367 0.0 143747.87889273354 0.0 187300.52567237162 85.0 177919.81360946747 192.0 169568.25527903467 181115.23 178193.4967320261 0.0 663.0 178405.7096069869 143948.79679144386 181573.27604166663 178193.4967320261 211880.81318681315 506.0 179857.76346604215 2.0 0.0 158961.70308123247 163981.4191419142 10176.0 224699.7863950498 181805.66321243523 182592.86046511628 179414.41573033712 1990.0 191808.05969498912 5.0 185601.24938271602 157482.0 2.0 201051.3968871595 178193.4967320261 1.0 170822.7626262626 170914.57205240175 178193.4967320261 7.0 9 180398.05693069307 882.0 184788.65617433414 1.0 175715.7828162291 178193.4967320261 178193.4967320261 78.0 148549.72906403942 4.0 20.0 0.0 178218.27472527474 882.0 1.0 1970.0 804.0 161376.63366336632 0.0 0.0 187920.61064425771 176671.8111111111 4.0 0.0 0.0 173812.54638480392 0.0 882.0 1.0 2010.0 171302.3622047244 138313.57142857142 184063.06872037915 0.0 184861.0283687943 1970.0 175531.83179723503 171401.71038251367 0.0 143747.87889273354 0.0 187300.52567237162 70.0 165751.57330498463 240.0 163573.83733031675 181115.23 151206.9049445865 0.0 0.0 178405.7096069869 223156.8495098039 181573.27604166663 178193.4967320261 140285.62820512822 525.0 179857.76346604215 2.0 0.0 149413.2797336845 163981.4191419142 8400.0 169309.44117647054 181805.66321243523 167901.0383986928 179414.41573033712 1970.0 152080.32258672698 5.0 185601.24938271602 157482.0 2.0 201051.3968871595 178193.4967320261 0.0 170822.7626262626 170914.57205240175 178193.4967320261 4.0
In [133]:
# Check Neighborhood_Tencode
print(test[0:5, ['Neighborhood', 'Neighborhood_Tencode']])
_, _ = target_encoder(valid, test, 'Neighborhood', 'SalePrice', test=True)
del _
# NAmes 152080
# NAmes 152080
# Gilbert 191808
# Gilbert 191808
# StoneBr 288359
Neighborhood Neighborhood_Tencode NAmes 152080 NAmes 152080 Gilbert 191808 Gilbert 191808 StoneBr 288359
{'Crawfor': 216008.84593837534, 'NAmes': 152080.32258672698, 'BrkSide': 129965.77450980392, 'ClearCr': 207949.02450980392, nan: 178193.49673202613, 'NridgHt': 284073.1545098039, 'Veenker': 243734.02450980392, 'IDOTRR': 112866.71681749621, 'NWAmes': 184610.14950980392, 'Mitchel': 169316.52450980392, 'BrDale': 116064.02450980392, 'MeadowV': 113131.52450980392, 'Sawyer': 143162.40700980392, 'Blmngtn': 210845.6545098039, 'Edwards': 126241.13989441929, 'NPkVill': 147641.52450980392, 'CollgCr': 190019.77971813726, 'Timber': 260109.74673202613, 'Somerst': 227656.9671023965, 'SWISU': 156269.02450980392, 'SawyerW': 189097.7776348039, 'StoneBr': 288359.0245098039, 'OldTown': 139863.03613771088, 'Gilbert': 191808.0596949891, 'NoRidge': 273948.2552790347}
In [134]:
def feature_combiner(training_frame, test_frame, nums):
""" Combines numeric features using simple arithmatic operations.
:param training_frame: Training frame from which to generate features and onto which generated
feeatures will be cbound.
:param test_frame: Test frame from which to generate features and onto which generated
feeatures will be cbound.
:param nums: List of original numeric features from which to generate combined features.
"""
total = len(nums)
# convert to pandas
train_df = training_frame.as_data_frame()
test_df = test_frame.as_data_frame()
for i, col_i in enumerate(nums):
print('Combining: ' + col_i + ' (' + str(i+1) + '/' + str(total) + ') ...')
for j, col_j in enumerate(nums):
# don't repeat (i*j = j*i)
if i < j:
# convert to pandas
col_i_train_df = train_df[col_i]
col_j_train_df = train_df[col_j]
col_i_test_df = test_df[col_i]
col_j_test_df = test_df[col_j]
# multiply, convert back to h2o
train_df[str(col_i + '|' + col_j)] = col_i_train_df.values*col_j_train_df.values
test_df[str(col_i + '|' + col_j)] = col_i_test_df.values*col_j_test_df.values
print('Done.')
# convert back to h2o
print('Converting to H2OFrame ...')
training_frame = h2o.H2OFrame(train_df)
training_frame.columns = list(train_df)
test_frame = h2o.H2OFrame(test_df)
test_frame.columns = list(test_df)
print('Done.')
print()
# conserve memory
del train_df
del test_df
return training_frame, test_frame
In [135]:
train, _ = feature_combiner(train, test, encoded_nums)
valid, test = feature_combiner(valid, test, encoded_nums)
Combining: ExterCond_Tencode (1/79) ...
Combining: TotalBsmtSF (2/79) ...
Combining: Electrical_Tencode (3/79) ...
Combining: KitchenAbvGr (4/79) ...
Combining: LandContour_Tencode (5/79) ...
Combining: FireplaceQu_Tencode (6/79) ...
Combining: Alley_Tencode (7/79) ...
Combining: BsmtFinSF2 (8/79) ...
Combining: Foundation_Tencode (9/79) ...
Combining: TotRmsAbvGrd (10/79) ...
Combining: MSSubClass (11/79) ...
Combining: MasVnrArea (12/79) ...
Combining: Condition2_Tencode (13/79) ...
Combining: GrLivArea (14/79) ...
Combining: BsmtFullBath (15/79) ...
Combining: YearRemodAdd (16/79) ...
Combining: BsmtFinSF1 (17/79) ...
Combining: BsmtExposure_Tencode (18/79) ...
Combining: Fireplaces (19/79) ...
Combining: 2ndFlrSF (20/79) ...
Combining: MSZoning_Tencode (21/79) ...
Combining: RoofMatl_Tencode (22/79) ...
Combining: MoSold (23/79) ...
Combining: ScreenPorch (24/79) ...
Combining: PoolArea (25/79) ...
Combining: Exterior1st_Tencode (26/79) ...
Combining: 3SsnPorch (27/79) ...
Combining: 1stFlrSF (28/79) ...
Combining: FullBath (29/79) ...
Combining: YrSold (30/79) ...
Combining: SaleCondition_Tencode (31/79) ...
Combining: BsmtQual_Tencode (32/79) ...
Combining: PavedDrive_Tencode (33/79) ...
Combining: BsmtHalfBath (34/79) ...
Combining: CentralAir_Tencode (35/79) ...
Combining: GarageYrBlt (36/79) ...
Combining: LandSlope_Tencode (37/79) ...
Combining: RoofStyle_Tencode (38/79) ...
Combining: EnclosedPorch (39/79) ...
Combining: ExterQual_Tencode (40/79) ...
Combining: LowQualFinSF (41/79) ...
Combining: GarageCond_Tencode (42/79) ...
Combining: LotFrontage (43/79) ...
Combining: LotConfig_Tencode (44/79) ...
Combining: WoodDeckSF (45/79) ...
Combining: Exterior2nd_Tencode (46/79) ...
Combining: BsmtCond_Tencode (47/79) ...
Combining: Fence_Tencode (48/79) ...
Combining: MiscVal (49/79) ...
Combining: BsmtUnfSF (50/79) ...
Combining: Street_Tencode (51/79) ...
Combining: GarageFinish_Tencode (52/79) ...
Combining: Condition1_Tencode (53/79) ...
Combining: PoolQC_Tencode (54/79) ...
Combining: KitchenQual_Tencode (55/79) ...
Combining: GarageArea (56/79) ...
Combining: Functional_Tencode (57/79) ...
Combining: BedroomAbvGr (58/79) ...
Combining: OpenPorchSF (59/79) ...
Combining: HeatingQC_Tencode (60/79) ...
Combining: LotShape_Tencode (61/79) ...
Combining: LotArea (62/79) ...
Combining: BsmtFinType1_Tencode (63/79) ...
Combining: BldgType_Tencode (64/79) ...
Combining: BsmtFinType2_Tencode (65/79) ...
Combining: Heating_Tencode (66/79) ...
Combining: YearBuilt (67/79) ...
Combining: Neighborhood_Tencode (68/79) ...
Combining: OverallCond (69/79) ...
Combining: GarageQual_Tencode (70/79) ...
Combining: MasVnrType_Tencode (71/79) ...
Combining: GarageCars (72/79) ...
Combining: GarageType_Tencode (73/79) ...
Combining: Utilities_Tencode (74/79) ...
Combining: HalfBath (75/79) ...
Combining: SaleType_Tencode (76/79) ...
Combining: HouseStyle_Tencode (77/79) ...
Combining: MiscFeature_Tencode (78/79) ...
Combining: OverallQual (79/79) ...
Done.
Converting to H2OFrame ...
Done.
Combining: ExterCond_Tencode (1/79) ...
Combining: TotalBsmtSF (2/79) ...
Combining: Electrical_Tencode (3/79) ...
Combining: KitchenAbvGr (4/79) ...
Combining: LandContour_Tencode (5/79) ...
Combining: FireplaceQu_Tencode (6/79) ...
Combining: Alley_Tencode (7/79) ...
Combining: BsmtFinSF2 (8/79) ...
Combining: Foundation_Tencode (9/79) ...
Combining: TotRmsAbvGrd (10/79) ...
Combining: MSSubClass (11/79) ...
Combining: MasVnrArea (12/79) ...
Combining: Condition2_Tencode (13/79) ...
Combining: GrLivArea (14/79) ...
Combining: BsmtFullBath (15/79) ...
Combining: YearRemodAdd (16/79) ...
Combining: BsmtFinSF1 (17/79) ...
Combining: BsmtExposure_Tencode (18/79) ...
Combining: Fireplaces (19/79) ...
Combining: 2ndFlrSF (20/79) ...
Combining: MSZoning_Tencode (21/79) ...
Combining: RoofMatl_Tencode (22/79) ...
Combining: MoSold (23/79) ...
Combining: ScreenPorch (24/79) ...
Combining: PoolArea (25/79) ...
Combining: Exterior1st_Tencode (26/79) ...
Combining: 3SsnPorch (27/79) ...
Combining: 1stFlrSF (28/79) ...
Combining: FullBath (29/79) ...
Combining: YrSold (30/79) ...
Combining: SaleCondition_Tencode (31/79) ...
Combining: BsmtQual_Tencode (32/79) ...
Combining: PavedDrive_Tencode (33/79) ...
Combining: BsmtHalfBath (34/79) ...
Combining: CentralAir_Tencode (35/79) ...
Combining: GarageYrBlt (36/79) ...
Combining: LandSlope_Tencode (37/79) ...
Combining: RoofStyle_Tencode (38/79) ...
Combining: EnclosedPorch (39/79) ...
Combining: ExterQual_Tencode (40/79) ...
Combining: LowQualFinSF (41/79) ...
Combining: GarageCond_Tencode (42/79) ...
Combining: LotFrontage (43/79) ...
Combining: LotConfig_Tencode (44/79) ...
Combining: WoodDeckSF (45/79) ...
Combining: Exterior2nd_Tencode (46/79) ...
Combining: BsmtCond_Tencode (47/79) ...
Combining: Fence_Tencode (48/79) ...
Combining: MiscVal (49/79) ...
Combining: BsmtUnfSF (50/79) ...
Combining: Street_Tencode (51/79) ...
Combining: GarageFinish_Tencode (52/79) ...
Combining: Condition1_Tencode (53/79) ...
Combining: PoolQC_Tencode (54/79) ...
Combining: KitchenQual_Tencode (55/79) ...
Combining: GarageArea (56/79) ...
Combining: Functional_Tencode (57/79) ...
Combining: BedroomAbvGr (58/79) ...
Combining: OpenPorchSF (59/79) ...
Combining: HeatingQC_Tencode (60/79) ...
Combining: LotShape_Tencode (61/79) ...
Combining: LotArea (62/79) ...
Combining: BsmtFinType1_Tencode (63/79) ...
Combining: BldgType_Tencode (64/79) ...
Combining: BsmtFinType2_Tencode (65/79) ...
Combining: Heating_Tencode (66/79) ...
Combining: YearBuilt (67/79) ...
Combining: Neighborhood_Tencode (68/79) ...
Combining: OverallCond (69/79) ...
Combining: GarageQual_Tencode (70/79) ...
Combining: MasVnrType_Tencode (71/79) ...
Combining: GarageCars (72/79) ...
Combining: GarageType_Tencode (73/79) ...
Combining: Utilities_Tencode (74/79) ...
Combining: HalfBath (75/79) ...
Combining: SaleType_Tencode (76/79) ...
Combining: HouseStyle_Tencode (77/79) ...
Combining: MiscFeature_Tencode (78/79) ...
Combining: OverallQual (79/79) ...
Done.
Converting to H2OFrame ...
Done.
In [136]:
encoded_combined_nums, cats = get_type_lists(frame=train)
Numeric = ['FullBath|OverallQual', 'Neighborhood_Tencode|HalfBath', 'MasVnrArea|GarageArea', 'TotRmsAbvGrd|ExterQual_Tencode', 'BsmtFullBath|Exterior1st_Tencode', 'PoolArea|HouseStyle_Tencode', 'MSSubClass|GarageArea', 'BsmtFullBath|Neighborhood_Tencode', 'ExterCond_Tencode|GarageCars', 'BsmtFinSF2|LandSlope_Tencode', 'TotalBsmtSF|GarageCars', 'BsmtFullBath|Fence_Tencode', 'TotalBsmtSF|YearBuilt', 'Condition2_Tencode|GarageQual_Tencode', 'ScreenPorch|BedroomAbvGr', 'ExterQual_Tencode|GarageType_Tencode', 'MasVnrArea|PoolArea', 'Fireplaces|BedroomAbvGr', 'Foundation_Tencode|GarageYrBlt', 'GarageFinish_Tencode|BedroomAbvGr', 'BsmtHalfBath|BsmtFinType1_Tencode', 'ExterCond_Tencode|BsmtFinSF2', 'ExterCond_Tencode|HouseStyle_Tencode', 'BsmtFullBath|RoofMatl_Tencode', 'MoSold|PoolArea', 'BsmtExposure_Tencode|RoofMatl_Tencode', 'MSSubClass|MasVnrType_Tencode', 'MSZoning_Tencode', 'Condition2_Tencode|SaleCondition_Tencode', 'Alley_Tencode|YearBuilt', 'PoolArea|Fence_Tencode', 'CentralAir_Tencode|OverallQual', 'YrSold|Utilities_Tencode', 'SaleCondition_Tencode|BedroomAbvGr', 'HeatingQC_Tencode|LotArea', 'KitchenQual_Tencode|GarageType_Tencode', 'MSSubClass|YearRemodAdd', 'FireplaceQu_Tencode|HeatingQC_Tencode', 'GarageCond_Tencode|LotFrontage', 'BsmtExposure_Tencode|CentralAir_Tencode', 'FullBath|OverallCond', 'RoofMatl_Tencode|MiscFeature_Tencode', 'Fireplaces|BsmtQual_Tencode', 'Functional_Tencode|BldgType_Tencode', 'FireplaceQu_Tencode|GarageType_Tencode', 'Exterior1st_Tencode|1stFlrSF', 'BsmtFinSF2|GarageYrBlt', 'MiscFeature_Tencode|OverallQual', 'YearRemodAdd|BsmtCond_Tencode', 'KitchenAbvGr|BsmtFullBath', 'Street_Tencode|HalfBath', 'BsmtUnfSF|Street_Tencode', 'Fireplaces|RoofMatl_Tencode', 'BsmtFinSF2|HalfBath', 'MasVnrArea|2ndFlrSF', 'KitchenQual_Tencode|Heating_Tencode', 'SaleCondition_Tencode|KitchenQual_Tencode', 'TotalBsmtSF|Condition2_Tencode', 'BsmtFinSF2|MSSubClass', 'BsmtQual_Tencode|GarageType_Tencode', 'FullBath|CentralAir_Tencode', 'GarageType_Tencode|OverallQual', 'MoSold|1stFlrSF', 'Alley_Tencode|3SsnPorch', 'Electrical_Tencode|Foundation_Tencode', 'KitchenAbvGr|KitchenQual_Tencode', 'BsmtFullBath|GarageQual_Tencode', 'MSSubClass|PoolArea', 'LandSlope_Tencode|Street_Tencode', 'BsmtFinSF1|Utilities_Tencode', 'BsmtFinSF1|LotShape_Tencode', 'BsmtFinSF2|LotArea', 'HeatingQC_Tencode', 'MSSubClass|ExterQual_Tencode', 'TotalBsmtSF|PavedDrive_Tencode', 'BldgType_Tencode|BsmtFinType2_Tencode', 'RoofMatl_Tencode|RoofStyle_Tencode', 'BsmtCond_Tencode|Fence_Tencode', 'MasVnrArea|YearBuilt', 'LotConfig_Tencode|YearBuilt', 'BsmtFullBath|GarageYrBlt', 'Exterior1st_Tencode|SaleCondition_Tencode', 'LandContour_Tencode|RoofMatl_Tencode', 'Electrical_Tencode|MSSubClass', 'BsmtFinSF2|2ndFlrSF', 'BsmtExposure_Tencode|Fence_Tencode', 'SaleCondition_Tencode|HalfBath', 'GarageArea|BsmtFinType1_Tencode', 'TotalBsmtSF|YearRemodAdd', 'MSZoning_Tencode|YearBuilt', 'BsmtFinSF1|GarageCond_Tencode', 'ExterCond_Tencode|OverallCond', 'YearRemodAdd|BsmtHalfBath', 'RoofStyle_Tencode|BsmtFinType1_Tencode', 'BsmtFinType1_Tencode|HalfBath', 'Condition2_Tencode|CentralAir_Tencode', 'YearRemodAdd|LotArea', 'TotRmsAbvGrd|LandSlope_Tencode', 'BsmtFinSF2', 'TotalBsmtSF|MasVnrArea', 'MoSold|LowQualFinSF', 'FireplaceQu_Tencode|MSSubClass', 'Exterior1st_Tencode|KitchenQual_Tencode', 'BsmtUnfSF|HeatingQC_Tencode', 'BsmtFinSF2|FullBath', 'BsmtFullBath|BsmtFinType1_Tencode', '1stFlrSF|GarageCond_Tencode', 'GarageYrBlt|BldgType_Tencode', 'Foundation_Tencode|Functional_Tencode', 'ScreenPorch|LotFrontage', 'LowQualFinSF|Heating_Tencode', 'ExterCond_Tencode|TotalBsmtSF', 'CentralAir_Tencode|LotShape_Tencode', 'ExterCond_Tencode|Condition1_Tencode', 'BedroomAbvGr|Neighborhood_Tencode', '2ndFlrSF|ExterQual_Tencode', 'GarageCars|Utilities_Tencode', 'Exterior2nd_Tencode|MasVnrType_Tencode', 'BsmtFinSF1|FullBath', 'Condition1_Tencode|GarageArea', 'KitchenQual_Tencode|YearBuilt', 'ScreenPorch|KitchenQual_Tencode', 'Electrical_Tencode|HalfBath', 'Foundation_Tencode|LowQualFinSF', 'YrSold|Street_Tencode', 'GarageYrBlt|GarageCars', 'TotRmsAbvGrd|GarageCond_Tencode', '1stFlrSF|Neighborhood_Tencode', 'FireplaceQu_Tencode|PoolQC_Tencode', '1stFlrSF|GarageArea', 'BsmtFinType2_Tencode|MasVnrType_Tencode', 'BsmtCond_Tencode|BsmtFinType1_Tencode', 'GarageFinish_Tencode|Functional_Tencode', 'BsmtFinType1_Tencode|OverallCond', 'Exterior2nd_Tencode|MiscVal', 'BsmtFullBath|Heating_Tencode', 'ExterQual_Tencode', 'Alley_Tencode|Foundation_Tencode', 'GrLivArea|FullBath', 'Alley_Tencode|LotShape_Tencode', 'GrLivArea|Exterior1st_Tencode', 'MiscVal|GarageQual_Tencode', 'LotConfig_Tencode|LotArea', 'Foundation_Tencode|MasVnrType_Tencode', 'GrLivArea|BsmtHalfBath', 'MoSold|Condition1_Tencode', 'MasVnrArea|BsmtHalfBath', 'BsmtUnfSF', 'Electrical_Tencode|LandContour_Tencode', 'MSZoning_Tencode|GarageType_Tencode', 'BsmtExposure_Tencode|LandSlope_Tencode', 'Alley_Tencode|YrSold', 'LotConfig_Tencode|MasVnrType_Tencode', 'GarageArea|OverallCond', 'BsmtCond_Tencode|HouseStyle_Tencode', 'BsmtExposure_Tencode|PavedDrive_Tencode', 'TotRmsAbvGrd|Heating_Tencode', '1stFlrSF|Condition1_Tencode', 'Neighborhood_Tencode|GarageCars', 'MSSubClass|3SsnPorch', 'SaleCondition_Tencode|MasVnrType_Tencode', 'SaleCondition_Tencode|BldgType_Tencode', 'RoofStyle_Tencode|GarageQual_Tencode', 'MSZoning_Tencode|OverallCond', 'ExterCond_Tencode|OverallQual', 'BsmtHalfBath|HalfBath', 'BsmtFinType1_Tencode', 'GrLivArea|LotFrontage', 'RoofStyle_Tencode|LotConfig_Tencode', 'CentralAir_Tencode|KitchenQual_Tencode', 'SaleType_Tencode|OverallQual', 'TotalBsmtSF|HalfBath', 'LotFrontage|GarageType_Tencode', 'FireplaceQu_Tencode|SaleCondition_Tencode', 'Alley_Tencode|LowQualFinSF', 'WoodDeckSF|Heating_Tencode', 'Exterior1st_Tencode|GarageArea', 'BsmtHalfBath|EnclosedPorch', 'ScreenPorch|HeatingQC_Tencode', 'Foundation_Tencode|TotRmsAbvGrd', 'FireplaceQu_Tencode|BedroomAbvGr', 'Fireplaces|PoolQC_Tencode', 'ScreenPorch|BsmtUnfSF', 'BsmtFinSF2|Condition1_Tencode', 'ExterCond_Tencode', 'ExterCond_Tencode|BsmtUnfSF', 'YearRemodAdd|MiscFeature_Tencode', '1stFlrSF|OverallCond', 'MoSold|BsmtUnfSF', 'GrLivArea|BedroomAbvGr', 'GrLivArea|HouseStyle_Tencode', 'TotRmsAbvGrd|BsmtFullBath', 'BsmtQual_Tencode|HeatingQC_Tencode', 'LowQualFinSF|LotShape_Tencode', 'Fireplaces|Exterior1st_Tencode', 'ExterQual_Tencode|SaleType_Tencode', 'KitchenAbvGr|Heating_Tencode', 'Alley_Tencode|LotFrontage', 'Fireplaces|LotConfig_Tencode', 'Condition1_Tencode|SaleType_Tencode', 'YrSold|OpenPorchSF', 'YearRemodAdd|1stFlrSF', 'Exterior2nd_Tencode|Condition1_Tencode', 'BsmtFinSF2|BldgType_Tencode', 'FireplaceQu_Tencode|RoofStyle_Tencode', 'Foundation_Tencode|GarageCond_Tencode', 'Alley_Tencode|HeatingQC_Tencode', 'FireplaceQu_Tencode|BsmtCond_Tencode', 'LandContour_Tencode|YearRemodAdd', 'Foundation_Tencode|Street_Tencode', 'LowQualFinSF|Fence_Tencode', 'ExterCond_Tencode|FullBath', 'ExterQual_Tencode|GarageCars', 'Alley_Tencode|SaleType_Tencode', '1stFlrSF|GarageType_Tencode', 'Exterior1st_Tencode|Condition1_Tencode', 'PoolArea', 'EnclosedPorch|Functional_Tencode', 'Fireplaces|SaleType_Tencode', 'ExterQual_Tencode|GarageCond_Tencode', 'ExterQual_Tencode|MiscFeature_Tencode', 'MSZoning_Tencode|PoolQC_Tencode', 'MasVnrArea|Fence_Tencode', 'Electrical_Tencode|LotFrontage', 'LandContour_Tencode|MSSubClass', 'TotalBsmtSF|LotArea', 'ExterCond_Tencode|LotArea', 'KitchenAbvGr|BsmtHalfBath', 'YearRemodAdd|BsmtExposure_Tencode', '2ndFlrSF|MiscVal', 'Electrical_Tencode|1stFlrSF', 'Exterior1st_Tencode|LotFrontage', 'GarageArea|HeatingQC_Tencode', 'Exterior2nd_Tencode|GarageQual_Tencode', 'LandContour_Tencode|ScreenPorch', 'PoolArea|OpenPorchSF', 'ScreenPorch|OverallQual', 'MSZoning_Tencode|BsmtFinType2_Tencode', 'BsmtUnfSF|GarageFinish_Tencode', 'Condition2_Tencode|WoodDeckSF', 'LotConfig_Tencode|Street_Tencode', 'GarageCond_Tencode|Exterior2nd_Tencode', 'BsmtFullBath|OverallCond', 'Fireplaces|YearBuilt', 'PavedDrive_Tencode|Heating_Tencode', '1stFlrSF|Utilities_Tencode', 'RoofMatl_Tencode|3SsnPorch', 'BsmtFinSF1|Condition1_Tencode', 'ExterCond_Tencode|BsmtCond_Tencode', 'ScreenPorch|SaleType_Tencode', 'YearRemodAdd|PavedDrive_Tencode', 'MasVnrArea|BsmtFullBath', 'Electrical_Tencode|BsmtFinSF1', 'YearRemodAdd|BsmtUnfSF', 'Functional_Tencode', 'TotRmsAbvGrd|MasVnrType_Tencode', 'LandSlope_Tencode|MiscFeature_Tencode', 'EnclosedPorch|MiscFeature_Tencode', 'MoSold|GarageArea', 'PavedDrive_Tencode|MasVnrType_Tencode', 'MiscVal|GarageFinish_Tencode', 'Electrical_Tencode|GarageArea', 'Condition1_Tencode|Heating_Tencode', 'BsmtFinSF2|BsmtFinType2_Tencode', 'TotRmsAbvGrd|LotArea', 'LowQualFinSF|BsmtFinType1_Tencode', 'Electrical_Tencode|LotArea', 'Exterior1st_Tencode|GarageCars', 'PavedDrive_Tencode|MiscVal', 'BsmtFinType1_Tencode|MasVnrType_Tencode', 'BsmtFinSF1|LotArea', 'SaleCondition_Tencode|LotArea', 'RoofStyle_Tencode|GarageFinish_Tencode', 'GarageFinish_Tencode|GarageCars', 'BsmtCond_Tencode|Utilities_Tencode', 'MSSubClass|MasVnrArea', 'ExterCond_Tencode|LandSlope_Tencode', 'BsmtExposure_Tencode|HalfBath', 'SaleCondition_Tencode|OverallCond', 'Foundation_Tencode|Fireplaces', 'GarageFinish_Tencode|OverallCond', 'TotalBsmtSF|MasVnrType_Tencode', 'LandContour_Tencode|MoSold', 'BsmtFinSF1|YrSold', 'GarageYrBlt|HalfBath', 'LotFrontage|BedroomAbvGr', 'MSSubClass|HouseStyle_Tencode', 'FireplaceQu_Tencode|PavedDrive_Tencode', 'MSSubClass|BldgType_Tencode', 'Electrical_Tencode|MasVnrArea', 'LandContour_Tencode|Neighborhood_Tencode', 'BsmtFullBath|CentralAir_Tencode', 'Electrical_Tencode', 'Alley_Tencode|Street_Tencode', 'Electrical_Tencode|KitchenQual_Tencode', 'Alley_Tencode|BsmtHalfBath', 'MSZoning_Tencode|MasVnrType_Tencode', 'MSSubClass|KitchenQual_Tencode', 'FireplaceQu_Tencode|HouseStyle_Tencode', 'MSSubClass|Heating_Tencode', '1stFlrSF|BsmtFinType2_Tencode', 'TotRmsAbvGrd|HeatingQC_Tencode', 'ExterCond_Tencode|MiscVal', 'MoSold|LotArea', 'PoolArea|SaleCondition_Tencode', 'PoolArea|BldgType_Tencode', 'RoofMatl_Tencode|MoSold', 'BsmtUnfSF|Utilities_Tencode', 'ExterQual_Tencode|GarageFinish_Tencode', 'PoolArea|GarageYrBlt', 'Condition2_Tencode|PavedDrive_Tencode', 'BsmtUnfSF|Functional_Tencode', 'ExterCond_Tencode|YearRemodAdd', 'LotShape_Tencode|GarageType_Tencode', 'MasVnrArea|OverallQual', 'TotalBsmtSF|GarageCond_Tencode', 'FireplaceQu_Tencode|3SsnPorch', 'Fireplaces|HouseStyle_Tencode', 'PoolArea|Exterior1st_Tencode', 'BsmtFullBath|OverallQual', 'Electrical_Tencode|EnclosedPorch', 'MSZoning_Tencode|LotArea', 'YearRemodAdd|RoofStyle_Tencode', 'Electrical_Tencode|GrLivArea', 'BsmtFinSF1|Functional_Tencode', 'BsmtFullBath|BedroomAbvGr', 'LotArea|Neighborhood_Tencode', 'EnclosedPorch|LotArea', 'MSZoning_Tencode|YrSold', 'LotFrontage|YearBuilt', 'BsmtFullBath|LotArea', 'LowQualFinSF|GarageCond_Tencode', '2ndFlrSF|SaleCondition_Tencode', 'KitchenQual_Tencode|BldgType_Tencode', 'Alley_Tencode|MasVnrArea', 'Foundation_Tencode|LotFrontage', 'GrLivArea|Condition1_Tencode', 'LandContour_Tencode|BedroomAbvGr', 'Heating_Tencode|HalfBath', 'GarageCond_Tencode|WoodDeckSF', 'Alley_Tencode|FullBath', 'CentralAir_Tencode|GarageYrBlt', '1stFlrSF|LandSlope_Tencode', 'BsmtExposure_Tencode|GarageFinish_Tencode', 'Heating_Tencode|Neighborhood_Tencode', 'Condition1_Tencode|KitchenQual_Tencode', 'MasVnrArea|YearRemodAdd', 'FullBath|Street_Tencode', 'RoofMatl_Tencode|GarageType_Tencode', 'LowQualFinSF|LotConfig_Tencode', 'LandContour_Tencode|HeatingQC_Tencode', 'YearRemodAdd|YrSold', 'FireplaceQu_Tencode|YearBuilt', 'BsmtFinSF2|GarageFinish_Tencode', 'PavedDrive_Tencode|Exterior2nd_Tencode', '3SsnPorch|GarageQual_Tencode', 'KitchenAbvGr|YearRemodAdd', 'PoolQC_Tencode|BedroomAbvGr', 'BsmtFinSF1|GarageFinish_Tencode', 'RoofStyle_Tencode|MiscFeature_Tencode', 'WoodDeckSF|LotArea', '3SsnPorch|LotArea', 'Functional_Tencode|BsmtFinType1_Tencode', 'PoolArea|LotShape_Tencode', 'Electrical_Tencode|SaleCondition_Tencode', 'PoolArea|GarageQual_Tencode', 'EnclosedPorch|PoolQC_Tencode', 'PoolArea|BsmtQual_Tencode', 'LotFrontage|BsmtCond_Tencode', '1stFlrSF|Functional_Tencode', 'BsmtFinSF1|MiscFeature_Tencode', 'MSSubClass|Neighborhood_Tencode', 'EnclosedPorch|Fence_Tencode', 'BsmtFinSF2|RoofStyle_Tencode', 'TotalBsmtSF|LotFrontage', 'LowQualFinSF|MiscFeature_Tencode', 'BsmtFinSF2|Exterior2nd_Tencode', 'EnclosedPorch|Exterior2nd_Tencode', 'YearRemodAdd|MasVnrType_Tencode', 'OpenPorchSF|GarageCars', 'Fence_Tencode|OpenPorchSF', 'LowQualFinSF|Exterior2nd_Tencode', 'ExterCond_Tencode|Condition2_Tencode', 'GarageFinish_Tencode', 'Exterior2nd_Tencode|MiscFeature_Tencode', 'BsmtQual_Tencode|LotShape_Tencode', '1stFlrSF|SaleCondition_Tencode', 'MSSubClass|RoofStyle_Tencode', 'Exterior2nd_Tencode|Neighborhood_Tencode', 'MSZoning_Tencode|Utilities_Tencode', 'TotalBsmtSF|OverallCond', 'LotFrontage|PoolQC_Tencode', 'LotConfig_Tencode|OverallQual', 'Heating_Tencode|SaleType_Tencode', 'TotalBsmtSF|2ndFlrSF', 'Condition2_Tencode|YearRemodAdd', 'Foundation_Tencode|RoofMatl_Tencode', 'ScreenPorch|ExterQual_Tencode', 'HeatingQC_Tencode|GarageCars', '2ndFlrSF|Neighborhood_Tencode', 'BsmtFinSF2|Neighborhood_Tencode', 'Exterior2nd_Tencode|YearBuilt', 'MSZoning_Tencode|Exterior2nd_Tencode', 'MoSold|OverallQual', 'Alley_Tencode|MoSold', 'BsmtFinSF1|BsmtExposure_Tencode', 'PoolArea|FullBath', '1stFlrSF|KitchenQual_Tencode', 'RoofMatl_Tencode|GarageYrBlt', 'BsmtFinType2_Tencode|GarageCars', 'Condition2_Tencode|LandSlope_Tencode', 'PavedDrive_Tencode|SaleType_Tencode', 'ExterQual_Tencode|LotArea', 'GrLivArea|2ndFlrSF', 'Foundation_Tencode|GrLivArea', 'GrLivArea|BsmtExposure_Tencode', 'KitchenAbvGr|BsmtUnfSF', 'KitchenAbvGr|GarageType_Tencode', 'LotConfig_Tencode|GarageArea', 'PavedDrive_Tencode|Fence_Tencode', 'Condition2_Tencode|Functional_Tencode', 'ExterCond_Tencode|LotFrontage', 'Electrical_Tencode|RoofStyle_Tencode', '1stFlrSF|OverallQual', 'SaleCondition_Tencode', 'BsmtHalfBath|BldgType_Tencode', 'MSSubClass|2ndFlrSF', 'BsmtFullBath|RoofStyle_Tencode', 'GarageCond_Tencode|GarageCars', 'MSZoning_Tencode|GarageCars', 'MoSold|HouseStyle_Tencode', 'RoofMatl_Tencode|OpenPorchSF', 'Electrical_Tencode|GarageCond_Tencode', 'WoodDeckSF|Utilities_Tencode', 'ExterCond_Tencode|ScreenPorch', 'KitchenQual_Tencode|Neighborhood_Tencode', 'BsmtExposure_Tencode|LowQualFinSF', 'FullBath|Neighborhood_Tencode', 'Foundation_Tencode|BsmtHalfBath', 'Exterior1st_Tencode|LotShape_Tencode', 'MSSubClass|HalfBath', 'BsmtFullBath|BsmtFinSF1', 'BsmtExposure_Tencode|YrSold', 'BsmtFinSF2|MSZoning_Tencode', 'GarageYrBlt|Exterior2nd_Tencode', 'GarageFinish_Tencode|SaleType_Tencode', 'Functional_Tencode|LotShape_Tencode', 'BsmtUnfSF|YearBuilt', 'Fireplaces|ExterQual_Tencode', 'Fence_Tencode|BsmtFinType2_Tencode', 'FireplaceQu_Tencode|Exterior1st_Tencode', 'GarageArea|BldgType_Tencode', 'LowQualFinSF|BldgType_Tencode', 'GarageCars|HouseStyle_Tencode', 'MSZoning_Tencode|LotFrontage', 'RoofStyle_Tencode|BldgType_Tencode', 'LotConfig_Tencode|GarageType_Tencode', 'YearRemodAdd|BsmtFinType1_Tencode', 'Condition2_Tencode|GarageCond_Tencode', 'GarageFinish_Tencode|Neighborhood_Tencode', 'MSSubClass|Functional_Tencode', 'FullBath|KitchenQual_Tencode', 'YearBuilt|MiscFeature_Tencode', 'YrSold|PoolQC_Tencode', 'BsmtExposure_Tencode|Utilities_Tencode', 'BedroomAbvGr|Utilities_Tencode', 'MasVnrType_Tencode', 'MSSubClass|GarageYrBlt', 'FullBath|LotConfig_Tencode', 'LotConfig_Tencode|Heating_Tencode', 'KitchenAbvGr|MiscFeature_Tencode', 'MiscVal|BsmtFinType2_Tencode', 'Electrical_Tencode|MiscVal', 'PavedDrive_Tencode|BsmtFinType1_Tencode', 'GrLivArea|SaleType_Tencode', 'TotalBsmtSF|BsmtCond_Tencode', 'SaleType_Tencode|MiscFeature_Tencode', '2ndFlrSF|YrSold', 'ScreenPorch|OpenPorchSF', 'GrLivArea|CentralAir_Tencode', 'MasVnrArea|CentralAir_Tencode', '2ndFlrSF|Condition1_Tencode', 'LandContour_Tencode|ExterQual_Tencode', '3SsnPorch|BsmtCond_Tencode', 'GrLivArea|BsmtFinType2_Tencode', 'TotalBsmtSF|FireplaceQu_Tencode', 'GrLivArea|Utilities_Tencode', 'MSZoning_Tencode|MiscFeature_Tencode', 'SaleCondition_Tencode|YearBuilt', 'BsmtFullBath|LowQualFinSF', 'EnclosedPorch|BedroomAbvGr', 'ScreenPorch|Functional_Tencode', 'FireplaceQu_Tencode|HalfBath', 'Exterior1st_Tencode|BsmtFinType1_Tencode', 'YearRemodAdd|BldgType_Tencode', 'ExterCond_Tencode|BsmtHalfBath', 'ExterCond_Tencode|CentralAir_Tencode', 'FireplaceQu_Tencode|BsmtFinSF2', 'YrSold|LotFrontage', 'MoSold', 'PoolArea|LotArea', 'Condition2_Tencode|BsmtUnfSF', 'TotalBsmtSF|Electrical_Tencode', 'GarageType_Tencode|HalfBath', 'TotRmsAbvGrd|BsmtUnfSF', 'LandContour_Tencode|MasVnrArea', 'TotRmsAbvGrd|Street_Tencode', 'ExterCond_Tencode|1stFlrSF', 'GrLivArea|YrSold', 'Alley_Tencode|LotArea', 'LandSlope_Tencode|GarageArea', 'BsmtExposure_Tencode|1stFlrSF', 'RoofStyle_Tencode|WoodDeckSF', 'OpenPorchSF|OverallCond', 'MSSubClass|CentralAir_Tencode', 'Electrical_Tencode|BsmtCond_Tencode', 'BsmtQual_Tencode|GarageQual_Tencode', 'BsmtHalfBath|GarageCars', 'PoolArea|Exterior2nd_Tencode', 'Alley_Tencode|Fireplaces', 'LotFrontage|SaleType_Tencode', 'YearBuilt|MasVnrType_Tencode', 'PavedDrive_Tencode|BsmtFinType2_Tencode', 'MasVnrType_Tencode|GarageCars', 'MoSold|Fence_Tencode', 'RoofStyle_Tencode|OverallQual', 'ExterQual_Tencode|Fence_Tencode', 'BsmtHalfBath|GarageFinish_Tencode', 'KitchenAbvGr|BsmtFinSF2', 'TotRmsAbvGrd|GarageFinish_Tencode', 'TotalBsmtSF|PoolArea', 'TotalBsmtSF|LandContour_Tencode', 'ScreenPorch|Neighborhood_Tencode', 'KitchenAbvGr|1stFlrSF', 'BsmtFinType1_Tencode|Utilities_Tencode', 'RoofStyle_Tencode|GarageType_Tencode', 'TotRmsAbvGrd|BsmtFinType2_Tencode', 'Condition2_Tencode|3SsnPorch', 'BsmtHalfBath|HeatingQC_Tencode', 'Alley_Tencode|BsmtUnfSF', 'HeatingQC_Tencode|OverallQual', 'KitchenAbvGr|GrLivArea', 'YearRemodAdd|Exterior1st_Tencode', 'TotalBsmtSF|GarageArea', 'MoSold|HeatingQC_Tencode', 'SaleCondition_Tencode|EnclosedPorch', 'WoodDeckSF|GarageQual_Tencode', '2ndFlrSF|BsmtCond_Tencode', 'EnclosedPorch|HalfBath', 'Condition2_Tencode|Fence_Tencode', 'FireplaceQu_Tencode|BsmtUnfSF', 'WoodDeckSF|GarageType_Tencode', 'MasVnrArea|3SsnPorch', 'GarageArea|Functional_Tencode', 'BsmtQual_Tencode|Functional_Tencode', 'Fence_Tencode|MiscVal', 'BsmtFullBath|MSZoning_Tencode', 'Exterior1st_Tencode|BsmtFinType2_Tencode', 'SaleCondition_Tencode|PavedDrive_Tencode', 'FullBath|Fence_Tencode', 'BsmtHalfBath|GarageYrBlt', 'Electrical_Tencode|Exterior2nd_Tencode', 'KitchenAbvGr|RoofMatl_Tencode', 'CentralAir_Tencode|GarageCars', 'FireplaceQu_Tencode|OverallCond', 'MSZoning_Tencode|EnclosedPorch', 'MoSold|ScreenPorch', 'Exterior1st_Tencode|Utilities_Tencode', 'MSSubClass|SaleType_Tencode', 'BsmtFullBath|Condition1_Tencode', 'BsmtCond_Tencode|MiscVal', 'LotFrontage|Neighborhood_Tencode', 'Condition2_Tencode|Street_Tencode', '1stFlrSF|LotFrontage', 'BsmtFinSF1|BsmtQual_Tencode', 'MasVnrArea|BldgType_Tencode', 'FullBath|SaleCondition_Tencode', 'KitchenAbvGr|BsmtCond_Tencode', 'FireplaceQu_Tencode|GarageCond_Tencode', 'TotalBsmtSF|GarageFinish_Tencode', 'BsmtFinSF1|EnclosedPorch', 'Condition1_Tencode|Neighborhood_Tencode', 'BsmtFinSF1|PoolQC_Tencode', 'GarageYrBlt|Utilities_Tencode', 'ExterCond_Tencode|BsmtQual_Tencode', 'TotRmsAbvGrd', 'Foundation_Tencode|LotShape_Tencode', 'BsmtExposure_Tencode|GarageQual_Tencode', 'GrLivArea|BsmtCond_Tencode', 'MasVnrArea|MiscFeature_Tencode', 'Street_Tencode|MiscFeature_Tencode', 'TotalBsmtSF|MoSold', 'MoSold|BedroomAbvGr', 'GarageCond_Tencode|LotArea', 'TotRmsAbvGrd|YrSold', '3SsnPorch|LowQualFinSF', 'BsmtExposure_Tencode|Street_Tencode', 'ExterQual_Tencode|BsmtUnfSF', 'GrLivArea|GarageArea', 'BsmtUnfSF|SaleType_Tencode', 'Street_Tencode|HouseStyle_Tencode', 'Alley_Tencode|Neighborhood_Tencode', 'BsmtQual_Tencode|GarageYrBlt', 'BsmtFinSF2|LowQualFinSF', 'FireplaceQu_Tencode|LotShape_Tencode', 'GrLivArea|Fireplaces', 'LandContour_Tencode|EnclosedPorch', 'RoofMatl_Tencode', 'Alley_Tencode|RoofMatl_Tencode', 'GrLivArea|RoofStyle_Tencode', 'MSZoning_Tencode|BsmtHalfBath', '2ndFlrSF|RoofMatl_Tencode', 'Condition2_Tencode|LotArea', 'MasVnrArea|Street_Tencode', 'RoofMatl_Tencode|ScreenPorch', 'RoofStyle_Tencode|ExterQual_Tencode', 'BsmtFullBath|MoSold', 'LandContour_Tencode|BsmtHalfBath', '1stFlrSF|BsmtHalfBath', 'MoSold|EnclosedPorch', 'Fireplaces|2ndFlrSF', 'MasVnrArea|ScreenPorch', 'LandSlope_Tencode|LotArea', 'TotRmsAbvGrd|Utilities_Tencode', 'LandContour_Tencode|TotRmsAbvGrd', 'WoodDeckSF|OverallQual', 'MSSubClass|RoofMatl_Tencode', 'MiscVal|GarageArea', 'Alley_Tencode|Exterior2nd_Tencode', 'LandSlope_Tencode|HalfBath', 'BsmtFinSF2|Functional_Tencode', 'Alley_Tencode|GarageType_Tencode', 'OverallCond|OverallQual', 'LandSlope_Tencode|GarageType_Tencode', 'MoSold|RoofStyle_Tencode', 'FullBath|YearBuilt', 'MSSubClass|GarageCars', 'HeatingQC_Tencode|HouseStyle_Tencode', 'Electrical_Tencode|Exterior1st_Tencode', 'CentralAir_Tencode|BsmtCond_Tencode', 'TotalBsmtSF|BsmtHalfBath', 'FireplaceQu_Tencode|Functional_Tencode', 'LandContour_Tencode|LotShape_Tencode', 'CentralAir_Tencode|LotConfig_Tencode', 'KitchenAbvGr|LandContour_Tencode', 'ScreenPorch|RoofStyle_Tencode', '1stFlrSF|Street_Tencode', 'Foundation_Tencode', 'Exterior2nd_Tencode|BldgType_Tencode', 'LotConfig_Tencode|Neighborhood_Tencode', 'OpenPorchSF|GarageType_Tencode', 'Electrical_Tencode|MSZoning_Tencode', 'MasVnrArea|GrLivArea', '1stFlrSF|BsmtUnfSF', 'Condition1_Tencode|BsmtFinType1_Tencode', 'ExterCond_Tencode|BldgType_Tencode', 'SaleCondition_Tencode|Neighborhood_Tencode', 'FireplaceQu_Tencode|BldgType_Tencode', 'PoolArea|YrSold', 'GarageQual_Tencode|HalfBath', 'BsmtQual_Tencode|Exterior2nd_Tencode', 'Fence_Tencode|HouseStyle_Tencode', 'ScreenPorch|PavedDrive_Tencode', 'Fireplaces|BsmtCond_Tencode', 'Exterior2nd_Tencode|LotShape_Tencode', 'BedroomAbvGr|LotShape_Tencode', 'Alley_Tencode|BsmtFinSF2', 'Heating_Tencode', 'KitchenAbvGr|MoSold', 'Electrical_Tencode|Street_Tencode', 'Heating_Tencode|GarageQual_Tencode', 'Condition2_Tencode|ExterQual_Tencode', 'YrSold|LowQualFinSF', 'Condition2_Tencode|GrLivArea', 'GrLivArea|BldgType_Tencode', 'GarageCars', 'CentralAir_Tencode|MiscVal', 'BsmtExposure_Tencode|LotShape_Tencode', 'TotRmsAbvGrd|SaleType_Tencode', 'EnclosedPorch|BsmtFinType1_Tencode', 'BsmtQual_Tencode|MiscVal', 'PoolArea|Functional_Tencode', 'BsmtFinSF1|BsmtFinType2_Tencode', 'ExterCond_Tencode|MasVnrType_Tencode', 'LowQualFinSF|MasVnrType_Tencode', 'Exterior2nd_Tencode|Heating_Tencode', 'LandSlope_Tencode|Fence_Tencode', 'TotalBsmtSF|BsmtQual_Tencode', 'FullBath|LotShape_Tencode', 'LotFrontage|WoodDeckSF', 'GarageArea|LotArea', 'Foundation_Tencode|Condition2_Tencode', 'ExterQual_Tencode|LotShape_Tencode', 'FireplaceQu_Tencode|FullBath', 'LandSlope_Tencode|SaleType_Tencode', 'YearBuilt|Utilities_Tencode', 'ExterQual_Tencode|Utilities_Tencode', 'BldgType_Tencode|MiscFeature_Tencode', 'LotConfig_Tencode|OpenPorchSF', 'MoSold|SaleCondition_Tencode', 'LotFrontage|GarageCars', '2ndFlrSF|GarageCars', 'KitchenAbvGr|Alley_Tencode', 'GrLivArea|LotConfig_Tencode', 'RoofMatl_Tencode|GarageCond_Tencode', 'PoolArea|RoofStyle_Tencode', 'Foundation_Tencode|SaleCondition_Tencode', 'KitchenAbvGr|HalfBath', 'Foundation_Tencode|ExterQual_Tencode', 'Street_Tencode|OverallCond', 'Condition2_Tencode|Condition1_Tencode', 'BsmtFinSF1|LandSlope_Tencode', 'BsmtFinType1_Tencode|GarageQual_Tencode', 'TotalBsmtSF|LandSlope_Tencode', 'PoolArea|BsmtCond_Tencode', 'FireplaceQu_Tencode|Condition2_Tencode', 'EnclosedPorch|Street_Tencode', 'BsmtFinSF1|PoolArea', 'BsmtExposure_Tencode|Exterior1st_Tencode', 'BsmtHalfBath|OverallCond', 'GarageCond_Tencode|Heating_Tencode', 'BsmtQual_Tencode|Fence_Tencode', 'GarageCond_Tencode|GarageType_Tencode', 'TotalBsmtSF|SaleType_Tencode', 'CentralAir_Tencode', 'ExterQual_Tencode|BldgType_Tencode', 'RoofStyle_Tencode|OpenPorchSF', 'Street_Tencode|GarageFinish_Tencode', 'WoodDeckSF|BsmtFinType1_Tencode', 'SaleCondition_Tencode|Street_Tencode', 'EnclosedPorch|MasVnrType_Tencode', 'YearRemodAdd|MiscVal', 'MasVnrArea|HeatingQC_Tencode', 'YrSold|Exterior2nd_Tencode', 'KitchenAbvGr|LandSlope_Tencode', 'BldgType_Tencode|SaleType_Tencode', 'GarageYrBlt|GarageArea', 'OpenPorchSF|GarageQual_Tencode', '1stFlrSF|HalfBath', 'BsmtCond_Tencode|BsmtUnfSF', 'ExterCond_Tencode|PavedDrive_Tencode', 'BsmtQual_Tencode|LotConfig_Tencode', 'GarageFinish_Tencode|BldgType_Tencode', 'RoofStyle_Tencode|Street_Tencode', 'ExterCond_Tencode|KitchenQual_Tencode', 'BsmtQual_Tencode|MiscFeature_Tencode', 'MasVnrArea|YrSold', 'CentralAir_Tencode|YearBuilt', 'FireplaceQu_Tencode|BsmtFinSF1', 'Electrical_Tencode|OpenPorchSF', 'LotConfig_Tencode|BsmtFinType2_Tencode', 'Exterior1st_Tencode|OverallQual', 'KitchenAbvGr|MSZoning_Tencode', 'OpenPorchSF|MasVnrType_Tencode', 'MoSold|MiscFeature_Tencode', 'ExterQual_Tencode|YearBuilt', 'CentralAir_Tencode|EnclosedPorch', 'GarageYrBlt|EnclosedPorch', 'LandContour_Tencode|HalfBath', '2ndFlrSF|HouseStyle_Tencode', 'TotRmsAbvGrd|LotFrontage', 'Foundation_Tencode|MSSubClass', 'Electrical_Tencode|MasVnrType_Tencode', 'BsmtExposure_Tencode|GarageType_Tencode', 'GarageCond_Tencode|BedroomAbvGr', 'LandSlope_Tencode|LotFrontage', 'MoSold|CentralAir_Tencode', 'FireplaceQu_Tencode|LotConfig_Tencode', 'LowQualFinSF|Neighborhood_Tencode', 'TotRmsAbvGrd|OverallCond', 'MasVnrArea|MSZoning_Tencode', 'FullBath|ExterQual_Tencode', 'TotRmsAbvGrd|Fireplaces', 'SaleCondition_Tencode|LotFrontage', '3SsnPorch|MiscFeature_Tencode', 'MoSold|LotConfig_Tencode', 'PoolArea|GarageCars', 'MasVnrArea|PoolQC_Tencode', 'GrLivArea|GarageCond_Tencode', 'CentralAir_Tencode|RoofStyle_Tencode', 'Foundation_Tencode|OpenPorchSF', '2ndFlrSF|ScreenPorch', 'CentralAir_Tencode|BsmtFinType1_Tencode', 'BldgType_Tencode|Neighborhood_Tencode', 'LowQualFinSF|Functional_Tencode', 'Exterior1st_Tencode|BsmtHalfBath', 'Functional_Tencode|GarageType_Tencode', 'GarageFinish_Tencode|LotArea', 'Exterior2nd_Tencode|GarageCars', '2ndFlrSF|CentralAir_Tencode', 'KitchenAbvGr|BldgType_Tencode', 'Exterior1st_Tencode|HalfBath', 'GarageFinish_Tencode|OpenPorchSF', 'GarageFinish_Tencode|YearBuilt', 'LotArea|OverallCond', 'TotalBsmtSF|OverallQual', 'Alley_Tencode|Heating_Tencode', 'YearRemodAdd|OpenPorchSF', 'HeatingQC_Tencode|GarageQual_Tencode', 'BsmtExposure_Tencode|BsmtHalfBath', 'Condition2_Tencode|LotFrontage', 'BsmtFinSF2|CentralAir_Tencode', 'Foundation_Tencode|LotArea', 'TotalBsmtSF|CentralAir_Tencode', 'MasVnrArea|BsmtUnfSF', 'CentralAir_Tencode|LandSlope_Tencode', 'PoolQC_Tencode|GarageQual_Tencode', 'RoofMatl_Tencode|BsmtQual_Tencode', 'Electrical_Tencode|Heating_Tencode', 'BsmtQual_Tencode|RoofStyle_Tencode', 'YrSold|BsmtFinType2_Tencode', 'BsmtHalfBath|HouseStyle_Tencode', 'RoofStyle_Tencode|Exterior2nd_Tencode', 'Condition2_Tencode|PoolArea', 'GrLivArea|Heating_Tencode', 'Fence_Tencode|BldgType_Tencode', 'GrLivArea|GarageQual_Tencode', 'BedroomAbvGr|SaleType_Tencode', 'FireplaceQu_Tencode|BsmtFinType2_Tencode', 'KitchenAbvGr|PavedDrive_Tencode', 'ScreenPorch|GarageYrBlt', 'WoodDeckSF|Functional_Tencode', 'ExterCond_Tencode|GrLivArea', 'PoolArea|MasVnrType_Tencode', 'Foundation_Tencode|PoolQC_Tencode', 'BsmtCond_Tencode|OverallQual', 'BsmtFullBath|LotConfig_Tencode', 'Condition1_Tencode|OverallCond', 'GarageYrBlt|RoofStyle_Tencode', 'FireplaceQu_Tencode|Fence_Tencode', 'Fireplaces|LowQualFinSF', 'MoSold|BsmtQual_Tencode', 'Exterior2nd_Tencode', 'BsmtFullBath|BsmtQual_Tencode', 'Electrical_Tencode|YearBuilt', 'BsmtUnfSF|HalfBath', 'GrLivArea|WoodDeckSF', 'OverallCond|MasVnrType_Tencode', 'ExterCond_Tencode|TotRmsAbvGrd', 'GrLivArea|Neighborhood_Tencode', 'PoolQC_Tencode|Neighborhood_Tencode', 'PavedDrive_Tencode|HalfBath', 'BsmtFullBath|LandSlope_Tencode', 'BsmtExposure_Tencode|GarageArea', 'Functional_Tencode|OpenPorchSF', 'Heating_Tencode|GarageCars', 'Foundation_Tencode|YrSold', 'SaleCondition_Tencode|ExterQual_Tencode', 'BsmtExposure_Tencode|Heating_Tencode', 'YrSold|BsmtUnfSF', 'BsmtHalfBath|GarageQual_Tencode', 'TotalBsmtSF|HeatingQC_Tencode', 'LandContour_Tencode|LowQualFinSF', 'EnclosedPorch|GarageFinish_Tencode', 'Alley_Tencode|ScreenPorch', 'TotRmsAbvGrd|HouseStyle_Tencode', 'BsmtFinSF1|Fireplaces', '3SsnPorch|YrSold', 'OpenPorchSF|Utilities_Tencode', 'MSSubClass|GarageFinish_Tencode', 'BsmtExposure_Tencode|Exterior2nd_Tencode', 'OverallQual', 'LandContour_Tencode|MiscFeature_Tencode', 'Exterior1st_Tencode|MasVnrType_Tencode', 'YearRemodAdd|LandSlope_Tencode', 'FullBath|LowQualFinSF', 'MSZoning_Tencode|MiscVal', 'GarageQual_Tencode|GarageCars', 'TotRmsAbvGrd|RoofStyle_Tencode', 'LandContour_Tencode|MasVnrType_Tencode', 'ScreenPorch', 'KitchenAbvGr|BsmtExposure_Tencode', 'MasVnrType_Tencode|OverallQual', '3SsnPorch|Fence_Tencode', 'GrLivArea|3SsnPorch', 'LotShape_Tencode|LotArea', 'PoolArea|LandSlope_Tencode', 'GarageType_Tencode', 'YearRemodAdd|GarageFinish_Tencode', 'RoofMatl_Tencode|EnclosedPorch', '2ndFlrSF|3SsnPorch', 'RoofMatl_Tencode|LowQualFinSF', 'MiscFeature_Tencode', 'LotConfig_Tencode|HeatingQC_Tencode', 'YearRemodAdd|HeatingQC_Tencode', 'RoofMatl_Tencode|OverallQual', 'KitchenQual_Tencode|SaleType_Tencode', 'GarageYrBlt|MasVnrType_Tencode', 'Electrical_Tencode|HeatingQC_Tencode', 'YearRemodAdd|BedroomAbvGr', 'Fireplaces|GarageType_Tencode', 'GarageCond_Tencode|SaleType_Tencode', '1stFlrSF|BsmtFinType1_Tencode', 'SaleCondition_Tencode|Exterior2nd_Tencode', 'GrLivArea|LowQualFinSF', 'Foundation_Tencode|GarageArea', 'Condition1_Tencode|GarageType_Tencode', 'MasVnrArea|EnclosedPorch', 'Exterior1st_Tencode|PavedDrive_Tencode', 'Exterior1st_Tencode|SaleType_Tencode', 'BsmtUnfSF|MiscFeature_Tencode', 'YearRemodAdd|MoSold', 'LandSlope_Tencode|HeatingQC_Tencode', 'Exterior2nd_Tencode|BsmtFinType1_Tencode', 'Electrical_Tencode|Condition1_Tencode', 'Heating_Tencode|GarageType_Tencode', 'BsmtFinSF2|EnclosedPorch', 'Exterior1st_Tencode|OpenPorchSF', 'MSZoning_Tencode|BsmtFinType1_Tencode', 'TotRmsAbvGrd|MasVnrArea', 'BsmtQual_Tencode|GarageFinish_Tencode', 'GarageType_Tencode|SaleType_Tencode', 'Condition2_Tencode|BsmtCond_Tencode', '2ndFlrSF|MasVnrType_Tencode', 'MoSold|PavedDrive_Tencode', 'WoodDeckSF|Condition1_Tencode', 'Alley_Tencode|OverallQual', '3SsnPorch', 'CentralAir_Tencode|LotFrontage', 'FireplaceQu_Tencode|YearRemodAdd', 'Fireplaces|Fence_Tencode', 'BsmtFullBath|HeatingQC_Tencode', 'RoofStyle_Tencode|SaleType_Tencode', 'PavedDrive_Tencode|PoolQC_Tencode', 'GarageYrBlt|Neighborhood_Tencode', 'LotConfig_Tencode|GarageFinish_Tencode', 'MSSubClass|YearBuilt', 'ExterCond_Tencode|YrSold', 'PavedDrive_Tencode|BedroomAbvGr', 'BsmtFinSF2|Fireplaces', 'LowQualFinSF|OverallCond', 'BsmtFullBath|SaleCondition_Tencode', 'MoSold|GarageType_Tencode', 'YrSold|Fence_Tencode', 'YearRemodAdd|GarageQual_Tencode', '2ndFlrSF|PoolArea', 'ScreenPorch|3SsnPorch', 'LotConfig_Tencode|Condition1_Tencode', 'KitchenAbvGr|ScreenPorch', 'ExterQual_Tencode|HouseStyle_Tencode', '2ndFlrSF|Fence_Tencode', 'Foundation_Tencode|BsmtQual_Tencode', 'YrSold|GarageQual_Tencode', 'MSSubClass|SaleCondition_Tencode', 'PoolArea|CentralAir_Tencode', 'ScreenPorch|GarageCars', 'BsmtCond_Tencode|OpenPorchSF', 'FullBath|LotArea', 'LandSlope_Tencode|YearBuilt', 'Fireplaces|Neighborhood_Tencode', 'Functional_Tencode|BedroomAbvGr', 'Alley_Tencode|BsmtExposure_Tencode', 'FullBath|BldgType_Tencode', 'Street_Tencode|BedroomAbvGr', 'GarageQual_Tencode|GarageType_Tencode', 'Exterior2nd_Tencode|Fence_Tencode', 'Condition1_Tencode|GarageQual_Tencode', '2ndFlrSF|MSZoning_Tencode', 'ScreenPorch|GarageFinish_Tencode', 'BsmtQual_Tencode|OverallCond', 'Fireplaces|MSZoning_Tencode', 'TotRmsAbvGrd|2ndFlrSF', 'Street_Tencode|PoolQC_Tencode', 'Fireplaces|Condition1_Tencode', 'Condition2_Tencode|Neighborhood_Tencode', 'PavedDrive_Tencode|OverallQual', 'Utilities_Tencode', 'TotalBsmtSF|SaleCondition_Tencode', 'BsmtFinSF1|BldgType_Tencode', 'BsmtHalfBath|Condition1_Tencode', 'YrSold|LotArea', 'BsmtFinType1_Tencode|BsmtFinType2_Tencode', 'ExterCond_Tencode|MiscFeature_Tencode', '3SsnPorch|FullBath', 'Functional_Tencode|MasVnrType_Tencode', 'BsmtFinSF1|GarageArea', 'LotFrontage|HouseStyle_Tencode', 'ExterQual_Tencode|BsmtFinType1_Tencode', 'BsmtCond_Tencode|PoolQC_Tencode', 'Foundation_Tencode|GarageQual_Tencode', 'LandContour_Tencode|LotFrontage', 'LowQualFinSF|LotFrontage', 'YearRemodAdd|HouseStyle_Tencode', 'BsmtFullBath|GarageFinish_Tencode', 'LandSlope_Tencode|Heating_Tencode', 'YrSold|MasVnrType_Tencode', 'PavedDrive_Tencode|LotArea', 'BsmtFinSF1|GarageYrBlt', 'ScreenPorch|GarageArea', 'ScreenPorch|Condition1_Tencode', 'Foundation_Tencode|Utilities_Tencode', 'GarageYrBlt|GarageFinish_Tencode', '1stFlrSF|BsmtCond_Tencode', 'Exterior2nd_Tencode|BsmtCond_Tencode', 'BsmtQual_Tencode|BsmtFinType1_Tencode', 'YearRemodAdd|ScreenPorch', 'BsmtExposure_Tencode|MasVnrType_Tencode', 'EnclosedPorch|MiscVal', 'PoolArea|1stFlrSF', 'Condition2_Tencode|OpenPorchSF', 'GarageYrBlt|LandSlope_Tencode', 'MSZoning_Tencode|OpenPorchSF', 'MiscVal|OpenPorchSF', 'HalfBath|MiscFeature_Tencode', 'WoodDeckSF|BedroomAbvGr', 'OverallCond|GarageCars', 'CentralAir_Tencode|ExterQual_Tencode', 'LotConfig_Tencode|BsmtFinType1_Tencode', '3SsnPorch|1stFlrSF', 'BsmtExposure_Tencode|MoSold', 'GrLivArea|RoofMatl_Tencode', 'Fireplaces|GarageYrBlt', 'Exterior2nd_Tencode|HeatingQC_Tencode', 'LowQualFinSF|WoodDeckSF', 'Fireplaces|BsmtFinType1_Tencode', 'Exterior1st_Tencode|BsmtCond_Tencode', 'BsmtFinSF2|Exterior1st_Tencode', 'Exterior1st_Tencode|GarageType_Tencode', 'BsmtFinSF1|GarageCars', 'RoofMatl_Tencode|Neighborhood_Tencode', 'PavedDrive_Tencode|MiscFeature_Tencode', '2ndFlrSF|BsmtFinType2_Tencode', 'BsmtFullBath|GarageCond_Tencode', 'MSSubClass', 'OpenPorchSF|HalfBath', 'BsmtUnfSF|OverallCond', 'FireplaceQu_Tencode|LotArea', 'MoSold|BsmtCond_Tencode', 'PoolQC_Tencode|LotShape_Tencode', 'TotalBsmtSF|GarageType_Tencode', '3SsnPorch|LotFrontage', 'LotConfig_Tencode|GarageQual_Tencode', 'MSSubClass|OverallCond', 'Neighborhood_Tencode|GarageQual_Tencode', 'BedroomAbvGr|Heating_Tencode', 'LotShape_Tencode|SaleType_Tencode', 'Exterior1st_Tencode|Street_Tencode', 'Condition2_Tencode|GarageFinish_Tencode', 'ScreenPorch|MiscFeature_Tencode', 'LotFrontage|HalfBath', 'YearRemodAdd|Exterior2nd_Tencode', 'Fireplaces|PavedDrive_Tencode', 'BsmtCond_Tencode|GarageFinish_Tencode', 'FireplaceQu_Tencode|2ndFlrSF', 'BsmtFullBath|BsmtExposure_Tencode', 'Condition2_Tencode|LotShape_Tencode', 'MoSold|LandSlope_Tencode', 'BsmtFullBath|HouseStyle_Tencode', 'YearRemodAdd|2ndFlrSF', 'BsmtCond_Tencode|Heating_Tencode', '3SsnPorch|Heating_Tencode', 'GrLivArea|OverallQual', 'FireplaceQu_Tencode|MoSold', 'Exterior1st_Tencode|LandSlope_Tencode', 'LotArea|GarageType_Tencode', 'MasVnrArea|Utilities_Tencode', 'BsmtCond_Tencode|GarageCars', 'BsmtHalfBath|BsmtUnfSF', 'EnclosedPorch|BsmtFinType2_Tencode', 'FullBath|Functional_Tencode', 'ExterCond_Tencode|RoofStyle_Tencode', 'PoolQC_Tencode|Heating_Tencode', 'YearBuilt|GarageType_Tencode', 'GarageArea', 'BsmtFullBath|Functional_Tencode', 'LandSlope_Tencode|Condition1_Tencode', 'Fireplaces|WoodDeckSF', 'FullBath|HeatingQC_Tencode', 'PoolQC_Tencode|GarageArea', 'Condition2_Tencode|MSZoning_Tencode', 'OpenPorchSF|OverallQual', 'FireplaceQu_Tencode|CentralAir_Tencode', 'MoSold|BsmtHalfBath', 'TotRmsAbvGrd|OverallQual', 'MasVnrType_Tencode|MiscFeature_Tencode', 'MasVnrArea|BsmtQual_Tencode', 'FireplaceQu_Tencode|MiscFeature_Tencode', 'KitchenAbvGr|EnclosedPorch', 'PoolQC_Tencode|OverallCond', 'ScreenPorch|Utilities_Tencode', 'KitchenQual_Tencode|Functional_Tencode', 'BsmtFinSF1|1stFlrSF', 'WoodDeckSF|KitchenQual_Tencode', 'CentralAir_Tencode|Street_Tencode', 'PoolQC_Tencode|LotArea', 'Condition2_Tencode|PoolQC_Tencode', 'BsmtFinSF1|KitchenQual_Tencode', 'YrSold|KitchenQual_Tencode', '2ndFlrSF|BsmtHalfBath', 'ScreenPorch|WoodDeckSF', 'RoofStyle_Tencode|OverallCond', 'EnclosedPorch|LotConfig_Tencode', 'LotShape_Tencode|YearBuilt', 'BsmtFinSF1|MoSold', 'LotArea|HalfBath', 'LowQualFinSF|HalfBath', 'TotalBsmtSF|BsmtExposure_Tencode', 'Alley_Tencode|SaleCondition_Tencode', 'MasVnrArea|BsmtFinType1_Tencode', 'RoofStyle_Tencode|BsmtUnfSF', 'EnclosedPorch|YearBuilt', 'SaleCondition_Tencode|GarageCond_Tencode', 'PoolQC_Tencode|OverallQual', 'LotFrontage|Condition1_Tencode', 'BsmtUnfSF|GarageQual_Tencode', 'FireplaceQu_Tencode|MiscVal', 'RoofStyle_Tencode|Utilities_Tencode', 'BsmtFinSF2|BsmtQual_Tencode', 'MSZoning_Tencode|HalfBath', 'SaleCondition_Tencode|GarageArea', 'GarageCars|GarageType_Tencode', 'ScreenPorch|LotShape_Tencode', 'YearRemodAdd|Street_Tencode', 'YearRemodAdd|Heating_Tencode', 'Exterior2nd_Tencode|OverallQual', 'LandContour_Tencode|BsmtFullBath', 'Electrical_Tencode|GarageQual_Tencode', 'TotalBsmtSF|Utilities_Tencode', 'Functional_Tencode|OverallCond', '2ndFlrSF|OverallQual', 'Fireplaces|FullBath', 'Electrical_Tencode|Neighborhood_Tencode', 'BsmtQual_Tencode|OverallQual', 'Foundation_Tencode|YearBuilt', 'BedroomAbvGr|GarageCars', '2ndFlrSF|HalfBath', 'RoofMatl_Tencode|BsmtUnfSF', 'BsmtHalfBath|WoodDeckSF', 'BsmtHalfBath|LowQualFinSF', '1stFlrSF|Fence_Tencode', 'GarageCond_Tencode|LotShape_Tencode', 'Alley_Tencode|HalfBath', 'BldgType_Tencode|MasVnrType_Tencode', 'YrSold|MiscFeature_Tencode', 'BsmtQual_Tencode|BsmtUnfSF', 'KitchenAbvGr|OpenPorchSF', 'Condition2_Tencode|HeatingQC_Tencode', 'Functional_Tencode|HeatingQC_Tencode', 'BsmtFinType2_Tencode', 'RoofMatl_Tencode|MiscVal', 'BsmtCond_Tencode|BsmtFinType2_Tencode', 'PoolArea|KitchenQual_Tencode', 'BsmtExposure_Tencode|Fireplaces', 'TotalBsmtSF|BsmtFinType2_Tencode', 'Foundation_Tencode|HouseStyle_Tencode', 'KitchenQual_Tencode|OverallQual', 'GarageFinish_Tencode|HalfBath', 'YearRemodAdd|Fence_Tencode', 'MasVnrType_Tencode|Utilities_Tencode', 'YearRemodAdd|LowQualFinSF', 'MSSubClass|ScreenPorch', 'TotRmsAbvGrd|BsmtFinSF1', 'GrLivArea|EnclosedPorch', '1stFlrSF|GarageQual_Tencode', 'SaleCondition_Tencode|BsmtCond_Tencode', 'BsmtExposure_Tencode|3SsnPorch', 'Alley_Tencode|1stFlrSF', 'MSSubClass|LotArea', 'Electrical_Tencode|BsmtUnfSF', 'Alley_Tencode|BedroomAbvGr', 'Street_Tencode|YearBuilt', 'MasVnrArea|BsmtFinType2_Tencode', 'Condition1_Tencode|Functional_Tencode', 'ExterCond_Tencode|GarageQual_Tencode', 'MoSold|Utilities_Tencode', 'LandContour_Tencode|Foundation_Tencode', 'Fence_Tencode|GarageArea', 'LandSlope_Tencode|ExterQual_Tencode', 'MSZoning_Tencode|Condition1_Tencode', 'Exterior1st_Tencode|GarageYrBlt', 'Alley_Tencode|GarageCond_Tencode', 'LandSlope_Tencode|BsmtUnfSF', 'MSZoning_Tencode|PavedDrive_Tencode', 'ExterCond_Tencode|BsmtFinType2_Tencode', 'RoofMatl_Tencode|GarageQual_Tencode', '2ndFlrSF|YearBuilt', 'Street_Tencode|MasVnrType_Tencode', 'TotRmsAbvGrd|MiscVal', 'GarageYrBlt|ExterQual_Tencode', 'SaleCondition_Tencode|OverallQual', 'KitchenAbvGr|LotShape_Tencode', 'RoofStyle_Tencode|Neighborhood_Tencode', 'RoofMatl_Tencode|BsmtFinType1_Tencode', 'PavedDrive_Tencode|HouseStyle_Tencode', 'TotalBsmtSF|FullBath', 'FireplaceQu_Tencode|SaleType_Tencode', '2ndFlrSF|Exterior1st_Tencode', 'BsmtFullBath|PoolQC_Tencode', 'KitchenQual_Tencode|OverallCond', 'ExterQual_Tencode|LotConfig_Tencode', 'LandContour_Tencode|GarageFinish_Tencode', 'MSSubClass|LotShape_Tencode', '2ndFlrSF|BldgType_Tencode', '3SsnPorch|PavedDrive_Tencode', 'TotRmsAbvGrd|1stFlrSF', 'BsmtFinSF1|HalfBath', 'Alley_Tencode|Condition2_Tencode', 'GarageFinish_Tencode|OverallQual', 'Street_Tencode|OverallQual', 'MiscVal|PoolQC_Tencode', 'LotConfig_Tencode|OverallCond', 'GarageCond_Tencode|LotConfig_Tencode', 'CentralAir_Tencode|BsmtFinType2_Tencode', 'BsmtCond_Tencode', 'Electrical_Tencode|ScreenPorch', 'ExterCond_Tencode|SaleType_Tencode', 'GrLivArea|MSZoning_Tencode', 'Condition2_Tencode|LotConfig_Tencode', 'EnclosedPorch|HeatingQC_Tencode', 'YearRemodAdd|FullBath', 'TotalBsmtSF|Neighborhood_Tencode', 'RoofMatl_Tencode|BsmtFinType2_Tencode', 'Fence_Tencode|YearBuilt', 'GarageCars|OverallQual', 'TotRmsAbvGrd|3SsnPorch', 'BldgType_Tencode|GarageCars', 'LandContour_Tencode|GrLivArea', 'LotFrontage|MiscFeature_Tencode', 'MSSubClass|BsmtCond_Tencode', '3SsnPorch|MasVnrType_Tencode', 'TotalBsmtSF|Exterior1st_Tencode', 'ExterCond_Tencode|Neighborhood_Tencode', '3SsnPorch|Functional_Tencode', 'BsmtFinSF1|OverallCond', 'Neighborhood_Tencode|Utilities_Tencode', 'BedroomAbvGr|OpenPorchSF', 'BsmtFinSF2|YearBuilt', '3SsnPorch|EnclosedPorch', 'Foundation_Tencode|Fence_Tencode', 'TotalBsmtSF|LotShape_Tencode', 'PoolArea|PavedDrive_Tencode', 'PavedDrive_Tencode|CentralAir_Tencode', 'Exterior1st_Tencode|HeatingQC_Tencode', 'BedroomAbvGr|BsmtFinType2_Tencode', 'MoSold|GarageCond_Tencode', 'TotRmsAbvGrd|EnclosedPorch', 'YearRemodAdd|HalfBath', 'Alley_Tencode|RoofStyle_Tencode', 'BsmtExposure_Tencode|PoolQC_Tencode', 'ScreenPorch|Heating_Tencode', 'WoodDeckSF|HeatingQC_Tencode', 'GrLivArea|Street_Tencode', 'BsmtCond_Tencode|BldgType_Tencode', 'LowQualFinSF|GarageQual_Tencode', 'TotRmsAbvGrd|KitchenQual_Tencode', 'MSSubClass|BsmtExposure_Tencode', 'GrLivArea|BsmtQual_Tencode', 'RoofMatl_Tencode|BldgType_Tencode', 'SaleCondition_Tencode|Functional_Tencode', 'LandSlope_Tencode|GarageQual_Tencode', 'MoSold|3SsnPorch', 'Exterior1st_Tencode|BldgType_Tencode', 'MSZoning_Tencode|KitchenQual_Tencode', 'GarageYrBlt|PoolQC_Tencode', 'LotFrontage|GarageQual_Tencode', 'BsmtFinSF2|Fence_Tencode', 'YrSold|BsmtFinType1_Tencode', 'Street_Tencode|Neighborhood_Tencode', 'BsmtExposure_Tencode|YearBuilt', '3SsnPorch|BldgType_Tencode', 'TotalBsmtSF|BsmtFinSF2', 'YrSold|GarageCars', 'Alley_Tencode|MasVnrType_Tencode', 'Fireplaces|HalfBath', 'WoodDeckSF|GarageCars', 'ScreenPorch|EnclosedPorch', '1stFlrSF|HeatingQC_Tencode', '2ndFlrSF|LotConfig_Tencode', 'BsmtUnfSF|OpenPorchSF', 'Exterior1st_Tencode|CentralAir_Tencode', 'MSSubClass|BsmtQual_Tencode', 'ExterCond_Tencode|FireplaceQu_Tencode', 'SaleCondition_Tencode|GarageType_Tencode', 'HeatingQC_Tencode|LotShape_Tencode', 'ExterQual_Tencode|Functional_Tencode', 'BsmtUnfSF|GarageCars', 'BsmtHalfBath|OverallQual', 'BedroomAbvGr|OverallQual', 'SaleCondition_Tencode|MiscVal', 'TotRmsAbvGrd|GarageArea', '2ndFlrSF|Street_Tencode', 'LotArea|BsmtFinType2_Tencode', 'RoofMatl_Tencode|LotConfig_Tencode', 'Exterior2nd_Tencode|HalfBath', 'Foundation_Tencode|Condition1_Tencode', 'KitchenAbvGr|BsmtFinType2_Tencode', 'Street_Tencode|LotArea', 'LowQualFinSF|Condition1_Tencode', 'BsmtFullBath|BldgType_Tencode', 'GrLivArea|MiscFeature_Tencode', 'RoofMatl_Tencode|SaleType_Tencode', 'ScreenPorch|HouseStyle_Tencode', 'WoodDeckSF|Fence_Tencode', 'Foundation_Tencode|PoolArea', 'Alley_Tencode|2ndFlrSF', 'MasVnrArea|ExterQual_Tencode', '2ndFlrSF|BsmtFinType1_Tencode', 'LotConfig_Tencode|BldgType_Tencode', 'LandSlope_Tencode|GarageFinish_Tencode', 'YearRemodAdd|MSZoning_Tencode', 'BsmtFinSF1|ExterQual_Tencode', 'FireplaceQu_Tencode|GarageYrBlt', 'MasVnrArea|LotArea', 'Exterior1st_Tencode|Fence_Tencode', '2ndFlrSF|GarageArea', 'BsmtCond_Tencode|YearBuilt', 'Exterior2nd_Tencode|OverallCond', 'Condition2_Tencode|Exterior2nd_Tencode', 'LandSlope_Tencode|BsmtCond_Tencode', 'MoSold|WoodDeckSF', 'ScreenPorch|GarageType_Tencode', 'Exterior1st_Tencode|MiscFeature_Tencode', 'ScreenPorch|Street_Tencode', 'YearRemodAdd|GarageCars', 'GarageCond_Tencode|PoolQC_Tencode', 'MSZoning_Tencode|Heating_Tencode', 'BsmtCond_Tencode|MasVnrType_Tencode', 'Heating_Tencode|YearBuilt', 'Alley_Tencode|LotConfig_Tencode', 'Exterior1st_Tencode|YearBuilt', 'BsmtFinSF2|MasVnrType_Tencode', 'PoolQC_Tencode|Utilities_Tencode', 'Condition2_Tencode|BsmtFinType1_Tencode', 'KitchenAbvGr|FireplaceQu_Tencode', 'Fence_Tencode|GarageType_Tencode', 'Exterior2nd_Tencode|BedroomAbvGr', 'Alley_Tencode|GarageQual_Tencode', 'LotShape_Tencode|GarageQual_Tencode', 'BsmtHalfBath|BedroomAbvGr', 'LowQualFinSF', 'BsmtFullBath|EnclosedPorch', 'PoolArea|BsmtHalfBath', 'BsmtUnfSF|BsmtFinType1_Tencode', 'BsmtExposure_Tencode|SaleType_Tencode', 'HalfBath', 'ExterCond_Tencode|EnclosedPorch', 'BsmtFullBath|GarageArea', 'YearRemodAdd|Functional_Tencode', 'FullBath', 'KitchenAbvGr|BsmtQual_Tencode', 'FireplaceQu_Tencode|ExterQual_Tencode', 'MasVnrArea|GarageFinish_Tencode', 'PoolQC_Tencode|BsmtFinType2_Tencode', 'BsmtFinSF1|MSZoning_Tencode', 'BsmtFullBath|YearBuilt', 'PoolArea|LowQualFinSF', 'MSZoning_Tencode|PoolArea', 'SaleCondition_Tencode|HouseStyle_Tencode', '2ndFlrSF|LotFrontage', 'Electrical_Tencode|GarageFinish_Tencode', 'FullBath|GarageArea', 'Condition1_Tencode|LotShape_Tencode', 'LandContour_Tencode|1stFlrSF', 'Functional_Tencode|BsmtFinType2_Tencode', 'PoolArea|BsmtUnfSF', 'PavedDrive_Tencode|Street_Tencode', 'BsmtFinSF2|MiscVal', '1stFlrSF|GarageYrBlt', 'MoSold|SaleType_Tencode', 'WoodDeckSF|LotShape_Tencode', 'MoSold|GarageFinish_Tencode', 'MoSold|BsmtFinType1_Tencode', 'Foundation_Tencode|Heating_Tencode', 'RoofStyle_Tencode|LotShape_Tencode', 'PoolQC_Tencode|BldgType_Tencode', 'ExterCond_Tencode|GarageType_Tencode', 'TotRmsAbvGrd|PavedDrive_Tencode', 'PoolQC_Tencode|GarageType_Tencode', 'ExterQual_Tencode|Exterior2nd_Tencode', 'LandContour_Tencode|WoodDeckSF', 'Fence_Tencode|BsmtFinType1_Tencode', 'Alley_Tencode|PoolQC_Tencode', 'LowQualFinSF|MiscVal', 'KitchenAbvGr|HeatingQC_Tencode', 'Utilities_Tencode|OverallQual', 'TotalBsmtSF|Foundation_Tencode', 'KitchenAbvGr|Functional_Tencode', 'GarageYrBlt|OverallQual', 'Exterior1st_Tencode|3SsnPorch', 'YrSold', 'BsmtFullBath|LotShape_Tencode', 'MiscVal|Functional_Tencode', 'GarageYrBlt|BsmtFinType2_Tencode', 'Fireplaces|MiscFeature_Tencode', '3SsnPorch|ExterQual_Tencode', 'WoodDeckSF|MiscFeature_Tencode', 'FullBath|BsmtQual_Tencode', 'MoSold|Functional_Tencode', 'GarageYrBlt|HouseStyle_Tencode', 'Condition2_Tencode|BldgType_Tencode', 'GrLivArea|MoSold', 'GarageCond_Tencode|Fence_Tencode', 'Alley_Tencode|GarageCars', 'GrLivArea|HalfBath', 'MiscVal|BedroomAbvGr', 'LandContour_Tencode|MSZoning_Tencode', 'TotalBsmtSF|MiscFeature_Tencode', 'FireplaceQu_Tencode|MasVnrArea', 'KitchenAbvGr|RoofStyle_Tencode', 'YrSold|Heating_Tencode', '3SsnPorch|GarageYrBlt', 'PavedDrive_Tencode|LandSlope_Tencode', 'LandSlope_Tencode|Functional_Tencode', 'ScreenPorch|LotConfig_Tencode', 'LandContour_Tencode|BsmtCond_Tencode', 'ExterCond_Tencode|Electrical_Tencode', 'MasVnrType_Tencode|HouseStyle_Tencode', 'Fireplaces|3SsnPorch', 'EnclosedPorch|OverallCond', 'FullBath|GarageFinish_Tencode', 'Fence_Tencode|HalfBath', 'Fence_Tencode|OverallCond', 'Street_Tencode|BldgType_Tencode', 'BsmtFullBath|FullBath', 'GarageFinish_Tencode|Heating_Tencode', 'CentralAir_Tencode|Utilities_Tencode', 'Alley_Tencode|PoolArea', 'Exterior1st_Tencode|FullBath', 'BldgType_Tencode', 'BsmtFinSF1|HouseStyle_Tencode', 'Exterior1st_Tencode|RoofStyle_Tencode', 'Condition1_Tencode|BsmtFinType2_Tencode', 'Utilities_Tencode|HalfBath', 'MSSubClass|1stFlrSF', 'Fence_Tencode|GarageQual_Tencode', 'LandContour_Tencode|GarageQual_Tencode', 'Heating_Tencode|OverallCond', 'RoofMatl_Tencode|LotArea', 'Street_Tencode|GarageArea', 'FullBath|GarageCars', 'BsmtHalfBath|Utilities_Tencode', 'MSZoning_Tencode|LowQualFinSF', 'BsmtCond_Tencode|LotShape_Tencode', 'MSSubClass|HeatingQC_Tencode', 'BsmtCond_Tencode|Neighborhood_Tencode', 'LotShape_Tencode|GarageCars', 'Fireplaces|BsmtHalfBath', 'PoolArea|PoolQC_Tencode', 'Fireplaces|KitchenQual_Tencode', 'MiscVal|YearBuilt', 'BsmtCond_Tencode|SaleType_Tencode', 'YearBuilt|SaleType_Tencode', 'BsmtFinType1_Tencode|SaleType_Tencode', 'FullBath|GarageQual_Tencode', 'ExterQual_Tencode|GarageQual_Tencode', 'BsmtQual_Tencode|Condition1_Tencode', '1stFlrSF|HouseStyle_Tencode', 'TotRmsAbvGrd|LowQualFinSF', 'TotRmsAbvGrd|Exterior1st_Tencode', 'Electrical_Tencode|3SsnPorch', 'TotalBsmtSF|LowQualFinSF', 'MSSubClass|BsmtHalfBath', 'BsmtQual_Tencode|GarageArea', 'WoodDeckSF|SaleType_Tencode', 'LotArea|GarageCars', 'GarageCars|HalfBath', 'MoSold|OpenPorchSF', 'GarageCond_Tencode|HeatingQC_Tencode', 'PavedDrive_Tencode|WoodDeckSF', 'KitchenAbvGr|PoolQC_Tencode', 'Exterior2nd_Tencode|GarageFinish_Tencode', '3SsnPorch|GarageFinish_Tencode', 'RoofMatl_Tencode|YrSold', 'BsmtFinSF2|BsmtHalfBath', 'MSZoning_Tencode|HouseStyle_Tencode', 'Foundation_Tencode|EnclosedPorch', 'Exterior1st_Tencode|PoolQC_Tencode', 'Fireplaces|OverallCond', 'BsmtQual_Tencode|LotArea', 'Electrical_Tencode|YrSold', 'FireplaceQu_Tencode|OpenPorchSF', 'Condition1_Tencode', 'GarageType_Tencode|MiscFeature_Tencode', 'LotFrontage|OverallCond', 'Foundation_Tencode|HalfBath', 'KitchenAbvGr|WoodDeckSF', 'BsmtExposure_Tencode|LotFrontage', 'CentralAir_Tencode|BedroomAbvGr', 'HeatingQC_Tencode|MiscFeature_Tencode', 'GarageYrBlt', 'PavedDrive_Tencode|YearBuilt', 'RoofStyle_Tencode|HeatingQC_Tencode', 'GarageQual_Tencode|OverallQual', 'ExterCond_Tencode|Functional_Tencode', 'Condition1_Tencode|OverallQual', 'LandContour_Tencode|Street_Tencode', 'MasVnrArea|MoSold', 'Condition2_Tencode|Heating_Tencode', 'Street_Tencode', 'YearBuilt|GarageQual_Tencode', 'Foundation_Tencode|BsmtFullBath', 'TotRmsAbvGrd|Functional_Tencode', 'LandContour_Tencode|GarageYrBlt', 'RoofStyle_Tencode|YearBuilt', 'TotalBsmtSF|GarageQual_Tencode', 'FullBath|HouseStyle_Tencode', '3SsnPorch|BsmtQual_Tencode', 'GarageYrBlt|GarageQual_Tencode', '1stFlrSF|ExterQual_Tencode', 'BsmtFinSF2|PavedDrive_Tencode', 'BsmtQual_Tencode|KitchenQual_Tencode', '3SsnPorch|LotShape_Tencode', 'BsmtFinType2_Tencode|OverallCond', 'MasVnrArea|LotConfig_Tencode', 'BsmtExposure_Tencode|LotConfig_Tencode', 'Fireplaces|Heating_Tencode', 'YrSold|OverallCond', 'BsmtExposure_Tencode|SaleCondition_Tencode', 'YrSold|GarageCond_Tencode', 'BsmtExposure_Tencode|ScreenPorch', '2ndFlrSF|OverallCond', 'BedroomAbvGr|HalfBath', 'FireplaceQu_Tencode|1stFlrSF', 'Fence_Tencode|LotShape_Tencode', '1stFlrSF|PoolQC_Tencode', 'LotFrontage|GarageFinish_Tencode', 'Exterior2nd_Tencode|BsmtFinType2_Tencode', 'YrSold|LotShape_Tencode', 'ExterQual_Tencode|LotFrontage', 'GrLivArea|PavedDrive_Tencode', 'PoolArea|LotFrontage', 'TotRmsAbvGrd|YearBuilt', 'Alley_Tencode|KitchenQual_Tencode', 'BsmtCond_Tencode|OverallCond', '2ndFlrSF|Exterior2nd_Tencode', 'Condition2_Tencode|YrSold', 'ScreenPorch|MasVnrType_Tencode', 'TotRmsAbvGrd|BsmtFinType1_Tencode', 'LotFrontage|Exterior2nd_Tencode', 'MSSubClass|LotFrontage', 'KitchenQual_Tencode|Utilities_Tencode', 'LandSlope_Tencode|RoofStyle_Tencode', '3SsnPorch|PoolQC_Tencode', 'Alley_Tencode|TotRmsAbvGrd', 'PoolArea|GarageCond_Tencode', 'Foundation_Tencode|GarageFinish_Tencode', 'WoodDeckSF|BsmtFinType2_Tencode', 'GarageCars|MiscFeature_Tencode', 'BsmtQual_Tencode|BsmtFinType2_Tencode', 'OpenPorchSF|LotArea', 'BsmtCond_Tencode|GarageQual_Tencode', 'OverallCond|SaleType_Tencode', 'Electrical_Tencode|LowQualFinSF', 'Electrical_Tencode|KitchenAbvGr', 'BsmtExposure_Tencode', 'Fence_Tencode|BsmtUnfSF', 'BsmtExposure_Tencode|KitchenQual_Tencode', 'TotalBsmtSF|Condition1_Tencode', 'Alley_Tencode|GarageFinish_Tencode', 'BsmtQual_Tencode|Street_Tencode', 'Electrical_Tencode|GarageType_Tencode', 'Foundation_Tencode|MiscVal', 'Electrical_Tencode|CentralAir_Tencode', 'GarageYrBlt|OverallCond', 'WoodDeckSF|BsmtCond_Tencode', 'BsmtHalfBath|GarageType_Tencode', 'BsmtQual_Tencode|HalfBath', 'PavedDrive_Tencode|GarageArea', 'PavedDrive_Tencode|BsmtHalfBath', 'Fireplaces|BsmtUnfSF', 'Alley_Tencode|BsmtCond_Tencode', 'PoolArea|EnclosedPorch', 'RoofStyle_Tencode|Functional_Tencode', 'GarageArea|SaleType_Tencode', 'LotArea|YearBuilt', 'EnclosedPorch|GarageArea', 'BsmtHalfBath|LotConfig_Tencode', 'Exterior1st_Tencode|WoodDeckSF', 'FullBath|GarageYrBlt', 'MoSold|ExterQual_Tencode', 'KitchenQual_Tencode|LotArea', '2ndFlrSF|LotShape_Tencode', 'BsmtFinSF2|RoofMatl_Tencode', 'BsmtHalfBath', 'Electrical_Tencode|WoodDeckSF', 'LotConfig_Tencode|MiscVal', 'ExterCond_Tencode|PoolArea', 'GarageYrBlt|BsmtUnfSF', 'BsmtFullBath|Exterior2nd_Tencode', 'GrLivArea|Functional_Tencode', 'LandContour_Tencode|BsmtQual_Tencode', 'BsmtHalfBath|CentralAir_Tencode', 'FullBath|BsmtHalfBath', 'BsmtQual_Tencode|WoodDeckSF', 'Functional_Tencode|Heating_Tencode', 'HeatingQC_Tencode|SaleType_Tencode', '1stFlrSF|MasVnrType_Tencode', 'PavedDrive_Tencode|OpenPorchSF', 'LotFrontage|Utilities_Tencode', 'MasVnrArea|KitchenQual_Tencode', 'MasVnrArea|WoodDeckSF', 'BsmtFullBath|HalfBath', 'TotalBsmtSF|EnclosedPorch', 'GarageArea|BsmtFinType2_Tencode', 'TotalBsmtSF|ScreenPorch', 'Fireplaces|LotFrontage', 'ExterQual_Tencode|MiscVal', 'TotalBsmtSF|BsmtFinType1_Tencode', '2ndFlrSF|MiscFeature_Tencode', 'PoolQC_Tencode', 'BsmtExposure_Tencode|BldgType_Tencode', 'BsmtFinSF1|Exterior1st_Tencode', 'MSSubClass|LandSlope_Tencode', 'Neighborhood_Tencode|OverallCond', 'YearBuilt|GarageCars', 'BsmtFullBath|2ndFlrSF', 'YearBuilt|Neighborhood_Tencode', 'YrSold|MiscVal', 'GarageCond_Tencode|BldgType_Tencode', 'Condition1_Tencode|MiscFeature_Tencode', 'ExterQual_Tencode|Street_Tencode', 'BsmtFinSF2|GarageCars', 'PavedDrive_Tencode|RoofStyle_Tencode', 'EnclosedPorch|GarageCond_Tencode', 'MasVnrArea|Condition1_Tencode', 'LotConfig_Tencode|Exterior2nd_Tencode', 'GarageQual_Tencode', 'LowQualFinSF|LotArea', 'WoodDeckSF|Exterior2nd_Tencode', 'LotFrontage|LotArea', '3SsnPorch|SaleCondition_Tencode', 'PoolQC_Tencode|YearBuilt', 'LowQualFinSF|HeatingQC_Tencode', 'GarageCond_Tencode|MiscVal', 'PoolArea|Street_Tencode', 'Fence_Tencode|KitchenQual_Tencode', '3SsnPorch|SaleType_Tencode', 'YrSold|PavedDrive_Tencode', 'YrSold|Condition1_Tencode', 'BsmtUnfSF|OverallQual', 'ExterCond_Tencode|LotShape_Tencode', 'ExterCond_Tencode|2ndFlrSF', 'FireplaceQu_Tencode', 'KitchenQual_Tencode|HalfBath', 'MSZoning_Tencode|Street_Tencode', 'RoofStyle_Tencode|LotFrontage', 'Fence_Tencode|MiscFeature_Tencode', 'BsmtFinSF1|3SsnPorch', 'MasVnrArea|LowQualFinSF', 'SaleCondition_Tencode|GarageFinish_Tencode', 'GrLivArea|BsmtFinType1_Tencode', 'Foundation_Tencode|GarageType_Tencode', 'Condition1_Tencode|PoolQC_Tencode', 'LandSlope_Tencode|Exterior2nd_Tencode', 'FullBath|MasVnrType_Tencode', 'PoolArea|MiscVal', 'GrLivArea', 'YearRemodAdd|EnclosedPorch', 'LowQualFinSF|YearBuilt', 'MSSubClass|MiscFeature_Tencode', 'GarageFinish_Tencode|BsmtFinType2_Tencode', 'Exterior2nd_Tencode|KitchenQual_Tencode', 'GarageYrBlt|BsmtFinType1_Tencode', 'BsmtFullBath|Street_Tencode', 'MSZoning_Tencode|ScreenPorch', 'YrSold|BedroomAbvGr', 'Exterior2nd_Tencode|PoolQC_Tencode', 'ExterCond_Tencode|KitchenAbvGr', 'RoofMatl_Tencode|ExterQual_Tencode', 'GrLivArea|Exterior2nd_Tencode', 'Street_Tencode|GarageType_Tencode', 'YrSold|YearBuilt', 'SaleCondition_Tencode|GarageYrBlt', 'TotRmsAbvGrd|BedroomAbvGr', 'BedroomAbvGr|GarageQual_Tencode', 'YearRemodAdd|WoodDeckSF', 'Neighborhood_Tencode|GarageType_Tencode', 'BsmtFinSF2|PoolArea', 'BsmtFinType1_Tencode|GarageType_Tencode', 'BsmtFinSF2|LotShape_Tencode', 'MSSubClass|MSZoning_Tencode', 'TotalBsmtSF|GrLivArea', 'BsmtFullBath|3SsnPorch', 'PavedDrive_Tencode|BsmtUnfSF', 'MasVnrArea|BedroomAbvGr', 'LandContour_Tencode|SaleType_Tencode', 'KitchenQual_Tencode|BedroomAbvGr', 'SaleType_Tencode|HouseStyle_Tencode', 'GrLivArea|GarageFinish_Tencode', 'GrLivArea|Fence_Tencode', 'BsmtQual_Tencode|Neighborhood_Tencode', 'FireplaceQu_Tencode|BsmtFullBath', 'SaleCondition_Tencode|Fence_Tencode', 'KitchenAbvGr|Fence_Tencode', 'KitchenAbvGr|Exterior1st_Tencode', 'MSSubClass|GrLivArea', 'BsmtUnfSF|MasVnrType_Tencode', 'BsmtUnfSF|BedroomAbvGr', '1stFlrSF|BldgType_Tencode', 'ExterCond_Tencode|BsmtExposure_Tencode', 'Exterior2nd_Tencode|HouseStyle_Tencode', 'RoofStyle_Tencode|BsmtFinType2_Tencode', 'LotShape_Tencode|HouseStyle_Tencode', 'BsmtExposure_Tencode|LotArea', 'YrSold|Neighborhood_Tencode', 'EnclosedPorch|BsmtUnfSF', 'RoofStyle_Tencode|GarageCars', 'Condition2_Tencode|ScreenPorch', 'LotConfig_Tencode|Functional_Tencode', 'ExterCond_Tencode|GarageArea', 'WoodDeckSF|OverallCond', 'BsmtExposure_Tencode|MSZoning_Tencode', '1stFlrSF|MiscVal', '1stFlrSF|WoodDeckSF', 'BsmtFullBath|SaleType_Tencode', 'MSZoning_Tencode|BsmtCond_Tencode', '1stFlrSF|MiscFeature_Tencode', 'FullBath|SaleType_Tencode', 'YearRemodAdd|OverallQual', 'CentralAir_Tencode|BsmtUnfSF', 'Exterior1st_Tencode|EnclosedPorch', 'TotalBsmtSF|Fireplaces', 'KitchenAbvGr|OverallCond', 'OpenPorchSF|HeatingQC_Tencode', 'FullBath|MiscVal', 'TotRmsAbvGrd|ScreenPorch', 'OpenPorchSF', 'BsmtQual_Tencode|Utilities_Tencode', 'BsmtFinSF1|GarageType_Tencode', 'BsmtFinSF1|SaleType_Tencode', 'OverallCond', 'FireplaceQu_Tencode|TotRmsAbvGrd', 'PoolArea|Heating_Tencode', 'BsmtQual_Tencode|MasVnrType_Tencode', 'TotRmsAbvGrd|LotShape_Tencode', 'OpenPorchSF|MiscFeature_Tencode', 'LotFrontage|LotConfig_Tencode', 'BsmtUnfSF|LotArea', 'ExterCond_Tencode|PoolQC_Tencode', 'PoolQC_Tencode|KitchenQual_Tencode', 'RoofStyle_Tencode|LotArea', 'BsmtQual_Tencode|LowQualFinSF', 'ExterCond_Tencode|GarageCond_Tencode', 'Foundation_Tencode|PavedDrive_Tencode', 'GarageCond_Tencode|GarageQual_Tencode', 'YearRemodAdd|GarageArea', 'KitchenAbvGr|GarageYrBlt', 'Fireplaces|1stFlrSF', 'WoodDeckSF|HalfBath', 'RoofMatl_Tencode|Street_Tencode', 'FullBath|BsmtFinType1_Tencode', 'TotRmsAbvGrd|Condition2_Tencode', 'LandContour_Tencode|Utilities_Tencode', 'MSZoning_Tencode|SaleCondition_Tencode', 'SaleCondition_Tencode|CentralAir_Tencode', 'WoodDeckSF|OpenPorchSF', 'Condition2_Tencode|BedroomAbvGr', 'Alley_Tencode|EnclosedPorch', 'BsmtFinSF1|Street_Tencode', 'CentralAir_Tencode|Heating_Tencode', 'MSSubClass|Condition1_Tencode', 'Street_Tencode|Utilities_Tencode', 'Exterior1st_Tencode|ExterQual_Tencode', 'EnclosedPorch|LowQualFinSF', 'BsmtQual_Tencode|OpenPorchSF', 'MSZoning_Tencode|OverallQual', 'Fireplaces|Utilities_Tencode', 'MoSold|GarageYrBlt', 'LotConfig_Tencode|HouseStyle_Tencode', 'LotFrontage|OverallQual', 'Foundation_Tencode|BedroomAbvGr', 'LandContour_Tencode|KitchenQual_Tencode', 'Fireplaces|MasVnrType_Tencode', 'CentralAir_Tencode|MasVnrType_Tencode', '2ndFlrSF|PoolQC_Tencode', 'YrSold|BsmtCond_Tencode', 'Foundation_Tencode|MiscFeature_Tencode', 'MoSold|GarageCars', '1stFlrSF|LotShape_Tencode', 'MasVnrArea|HouseStyle_Tencode', 'BsmtUnfSF|Condition1_Tencode', 'LandSlope_Tencode|GarageCars', 'Condition2_Tencode|Utilities_Tencode', 'Foundation_Tencode|BsmtFinSF1', 'BsmtFinSF2|OpenPorchSF', 'Condition2_Tencode|GarageType_Tencode', 'Foundation_Tencode|BsmtExposure_Tencode', 'KitchenQual_Tencode|GarageQual_Tencode', 'MasVnrArea|MasVnrType_Tencode', 'LotFrontage|MiscVal', 'GarageCond_Tencode|GarageArea', 'LowQualFinSF|BsmtCond_Tencode', 'MasVnrArea|GarageQual_Tencode', 'Functional_Tencode|YearBuilt', 'MasVnrArea|BsmtExposure_Tencode', 'BsmtUnfSF|GarageType_Tencode', '3SsnPorch|YearBuilt', 'ExterCond_Tencode|LandContour_Tencode', 'Electrical_Tencode|FireplaceQu_Tencode', 'MoSold|Neighborhood_Tencode', 'BsmtQual_Tencode|BedroomAbvGr', 'LandContour_Tencode|Fence_Tencode', 'RoofStyle_Tencode|BedroomAbvGr', 'LandSlope_Tencode|Neighborhood_Tencode', 'BsmtHalfBath|MasVnrType_Tencode', 'Alley_Tencode|BsmtFinType1_Tencode', 'BsmtFullBath|ScreenPorch', 'WoodDeckSF|Neighborhood_Tencode', 'LotShape_Tencode|OverallQual', 'YearRemodAdd|3SsnPorch', 'MSSubClass|GarageQual_Tencode', 'LandContour_Tencode|Condition2_Tencode', 'Foundation_Tencode|LotConfig_Tencode', 'ExterQual_Tencode|HalfBath', 'Alley_Tencode|ExterQual_Tencode', 'BsmtFinSF2|PoolQC_Tencode', 'YrSold|LotConfig_Tencode', 'Foundation_Tencode|ScreenPorch', 'TotRmsAbvGrd|BsmtCond_Tencode', 'GrLivArea|1stFlrSF', 'Condition2_Tencode|OverallCond', 'BsmtCond_Tencode|LotArea', 'Condition2_Tencode|RoofMatl_Tencode', 'CentralAir_Tencode|HouseStyle_Tencode', 'TotRmsAbvGrd|MSZoning_Tencode', 'MoSold|YrSold', 'RoofStyle_Tencode|KitchenQual_Tencode', 'KitchenAbvGr|Exterior2nd_Tencode', 'Exterior1st_Tencode|Neighborhood_Tencode', 'GrLivArea|GarageType_Tencode', 'KitchenAbvGr|GarageQual_Tencode', 'MiscVal|BldgType_Tencode', 'MasVnrArea|GarageType_Tencode', 'RoofMatl_Tencode|WoodDeckSF', 'MiscVal|HeatingQC_Tencode', 'MasVnrArea|1stFlrSF', 'Functional_Tencode|Neighborhood_Tencode', 'Condition2_Tencode|OverallQual', 'PoolQC_Tencode|HouseStyle_Tencode', 'LandSlope_Tencode|OpenPorchSF', 'PoolQC_Tencode|HeatingQC_Tencode', 'RoofStyle_Tencode|HouseStyle_Tencode', '3SsnPorch|GarageCond_Tencode', 'LotArea|BsmtFinType1_Tencode', '1stFlrSF', 'LandSlope_Tencode|OverallCond', '3SsnPorch|CentralAir_Tencode', 'Condition2_Tencode|YearBuilt', 'LandContour_Tencode|BsmtFinType2_Tencode', 'OverallCond|HouseStyle_Tencode', 'MSSubClass|BedroomAbvGr', 'Condition2_Tencode|GarageArea', 'Fireplaces|MiscVal', '2ndFlrSF|GarageFinish_Tencode', 'CentralAir_Tencode|HalfBath', 'PavedDrive_Tencode|GarageType_Tencode', 'GarageYrBlt|LotConfig_Tencode', 'BsmtFinType2_Tencode|Heating_Tencode', 'OpenPorchSF|BldgType_Tencode', 'LowQualFinSF|BedroomAbvGr', 'KitchenQual_Tencode|OpenPorchSF', 'SaleCondition_Tencode|SaleType_Tencode', 'BsmtUnfSF|KitchenQual_Tencode', 'BsmtExposure_Tencode|2ndFlrSF', 'Electrical_Tencode|MoSold', 'LandSlope_Tencode|BedroomAbvGr', 'BsmtFinSF2|OverallQual', 'Electrical_Tencode|BldgType_Tencode', 'LandContour_Tencode|PavedDrive_Tencode', 'LandContour_Tencode|RoofStyle_Tencode', 'Functional_Tencode|OverallQual', 'Fireplaces|LotArea', 'MasVnrArea|Exterior2nd_Tencode', 'TotalBsmtSF|3SsnPorch', '3SsnPorch|HouseStyle_Tencode', 'Functional_Tencode|MiscFeature_Tencode', '3SsnPorch|OverallQual', 'FireplaceQu_Tencode|Heating_Tencode', 'MiscVal|MasVnrType_Tencode', 'ExterCond_Tencode|HeatingQC_Tencode', 'TotRmsAbvGrd|RoofMatl_Tencode', 'EnclosedPorch|Utilities_Tencode', 'TotRmsAbvGrd|HalfBath', 'Condition1_Tencode|HalfBath', 'GrLivArea|MiscVal', '3SsnPorch|HeatingQC_Tencode', 'BsmtExposure_Tencode|WoodDeckSF', 'BsmtFinSF1|RoofStyle_Tencode', 'LotFrontage|BsmtUnfSF', 'OpenPorchSF|LotShape_Tencode', 'MSSubClass|PoolQC_Tencode', 'MasVnrType_Tencode|GarageType_Tencode', 'ExterCond_Tencode|Alley_Tencode', 'BsmtFinSF2|LotFrontage', 'BsmtQual_Tencode|PavedDrive_Tencode', 'BsmtFullBath|MasVnrType_Tencode', 'RoofStyle_Tencode|GarageCond_Tencode', 'CentralAir_Tencode|Functional_Tencode', 'ExterCond_Tencode|Heating_Tencode', 'GarageArea|HalfBath', 'CentralAir_Tencode|GarageCond_Tencode', 'BsmtFinSF1|2ndFlrSF', 'BsmtFinSF1|MasVnrType_Tencode', 'KitchenAbvGr|LotConfig_Tencode', 'BsmtFinSF2|BsmtUnfSF', 'LandSlope_Tencode|KitchenQual_Tencode', 'RoofMatl_Tencode|SaleCondition_Tencode', '3SsnPorch|GarageArea', 'GarageCars|SaleType_Tencode', 'ScreenPorch|Exterior1st_Tencode', 'LotFrontage|LotShape_Tencode', 'LowQualFinSF|BsmtUnfSF', 'Foundation_Tencode|MSZoning_Tencode', 'PoolArea|Condition1_Tencode', 'ExterQual_Tencode|OpenPorchSF', 'MasVnrType_Tencode|HalfBath', 'LowQualFinSF|Street_Tencode', 'SaleCondition_Tencode|LotShape_Tencode', 'RoofStyle_Tencode|EnclosedPorch', 'GrLivArea|BsmtUnfSF', 'GarageYrBlt|Condition1_Tencode', 'MiscVal|LotArea', 'ExterCond_Tencode|MSSubClass', 'BsmtHalfBath|ExterQual_Tencode', 'PavedDrive_Tencode|GarageFinish_Tencode', 'KitchenAbvGr|2ndFlrSF', 'Alley_Tencode|HouseStyle_Tencode', 'TotalBsmtSF|Fence_Tencode', 'MSZoning_Tencode|Fence_Tencode', 'Electrical_Tencode|OverallQual', 'RoofMatl_Tencode|Heating_Tencode', 'SaleCondition_Tencode|MiscFeature_Tencode', 'BsmtHalfBath|LotShape_Tencode', 'Electrical_Tencode|PoolQC_Tencode', 'TotRmsAbvGrd|FullBath', 'BsmtExposure_Tencode|GarageCars', 'CentralAir_Tencode|GarageQual_Tencode', 'MSZoning_Tencode|GarageCond_Tencode', '3SsnPorch|OverallCond', 'Foundation_Tencode|GarageCars', 'OpenPorchSF|SaleType_Tencode', 'Fence_Tencode|Street_Tencode', 'MSSubClass|MoSold', 'GrLivArea|PoolArea', 'BsmtHalfBath|LotArea', '2ndFlrSF|LandSlope_Tencode', 'PoolArea|GarageArea', 'KitchenAbvGr|YrSold', 'TotalBsmtSF|OpenPorchSF', 'BsmtExposure_Tencode|ExterQual_Tencode', 'BsmtFinSF2|GrLivArea', 'PavedDrive_Tencode|Utilities_Tencode', 'ScreenPorch|Exterior2nd_Tencode', 'TotalBsmtSF|HouseStyle_Tencode', 'LowQualFinSF|GarageArea', 'BsmtFinSF2|BsmtExposure_Tencode', 'TotalBsmtSF|RoofMatl_Tencode', 'KitchenAbvGr|Neighborhood_Tencode', 'YearRemodAdd', 'LandContour_Tencode|BldgType_Tencode', 'LotArea|MasVnrType_Tencode', 'LotShape_Tencode|BsmtFinType2_Tencode', 'RoofStyle_Tencode|GarageArea', 'LotFrontage|OpenPorchSF', 'Alley_Tencode|OverallCond', 'TotalBsmtSF|Heating_Tencode', 'LotShape_Tencode|HalfBath', 'GrLivArea|PoolQC_Tencode', 'BsmtCond_Tencode|HalfBath', 'ExterQual_Tencode|BedroomAbvGr', 'HouseStyle_Tencode|OverallQual', 'Condition2_Tencode|LowQualFinSF', 'FullBath|BsmtFinType2_Tencode', 'Exterior1st_Tencode|BsmtQual_Tencode', 'GarageCond_Tencode|Condition1_Tencode', 'MiscVal|GarageCars', 'BsmtQual_Tencode', 'GarageYrBlt|LotShape_Tencode', 'SaleCondition_Tencode|Utilities_Tencode', 'GrLivArea|ExterQual_Tencode', 'TotRmsAbvGrd|BsmtQual_Tencode', 'Alley_Tencode|WoodDeckSF', 'Exterior1st_Tencode|Exterior2nd_Tencode', 'ExterCond_Tencode|WoodDeckSF', 'Functional_Tencode|LotArea', 'GarageYrBlt|HeatingQC_Tencode', 'MSSubClass|Utilities_Tencode', 'Neighborhood_Tencode|OverallQual', 'BsmtFinSF1|WoodDeckSF', 'Condition2_Tencode|MiscVal', 'CentralAir_Tencode|Neighborhood_Tencode', 'HeatingQC_Tencode|BsmtFinType2_Tencode', 'FireplaceQu_Tencode|GarageFinish_Tencode', 'Foundation_Tencode|1stFlrSF', 'YearRemodAdd|BsmtFinSF1', 'GarageFinish_Tencode|GarageArea', '2ndFlrSF|PavedDrive_Tencode', 'MiscVal|BsmtUnfSF', 'FullBath|BsmtUnfSF', 'CentralAir_Tencode|SaleType_Tencode', 'BsmtFullBath|PavedDrive_Tencode', 'ExterCond_Tencode|YearBuilt', 'BsmtQual_Tencode|ExterQual_Tencode', 'Utilities_Tencode|SaleType_Tencode', 'KitchenAbvGr|SaleType_Tencode', 'Alley_Tencode|Exterior1st_Tencode', 'MSSubClass|BsmtFinType2_Tencode', 'MSZoning_Tencode|LotConfig_Tencode', 'LotShape_Tencode', 'OpenPorchSF|HouseStyle_Tencode', 'EnclosedPorch|BldgType_Tencode', 'GarageFinish_Tencode|Condition1_Tencode', 'FireplaceQu_Tencode|GarageQual_Tencode', 'MSSubClass|OverallQual', 'Fence_Tencode|SaleType_Tencode', 'GarageCond_Tencode|Utilities_Tencode', 'Alley_Tencode|BsmtFinType2_Tencode', 'BsmtExposure_Tencode|BsmtFinType1_Tencode', 'LandSlope_Tencode|BsmtFinType1_Tencode', 'FireplaceQu_Tencode|Alley_Tencode', 'TotRmsAbvGrd|MiscFeature_Tencode', 'BsmtExposure_Tencode|Functional_Tencode', 'KitchenAbvGr|MiscVal', 'BsmtFinSF1|BsmtCond_Tencode', 'TotRmsAbvGrd|PoolQC_Tencode', 'LandContour_Tencode|Fireplaces', 'MasVnrArea|RoofMatl_Tencode', 'EnclosedPorch|HouseStyle_Tencode', 'EnclosedPorch|Heating_Tencode', 'GarageYrBlt|MiscFeature_Tencode', 'RoofMatl_Tencode|PoolArea', 'TotalBsmtSF|BsmtFullBath', 'MSSubClass|OpenPorchSF', 'MSZoning_Tencode|Functional_Tencode', 'YearBuilt|HalfBath', 'GarageYrBlt|GarageCond_Tencode', 'BsmtCond_Tencode|GarageArea', 'Exterior2nd_Tencode|GarageType_Tencode', 'HouseStyle_Tencode', 'LowQualFinSF|OverallQual', 'LandContour_Tencode|2ndFlrSF', 'BsmtHalfBath|KitchenQual_Tencode', 'YrSold|SaleType_Tencode', 'Fireplaces|LandSlope_Tencode', 'Alley_Tencode|YearRemodAdd', 'GrLivArea|BsmtFullBath', 'FireplaceQu_Tencode|BsmtQual_Tencode', 'LowQualFinSF|KitchenQual_Tencode', 'MSSubClass|GarageType_Tencode', 'MiscVal', 'LandContour_Tencode|BsmtFinSF2', 'BsmtExposure_Tencode|MiscVal', 'MasVnrArea|Exterior1st_Tencode', '3SsnPorch|BsmtFinType2_Tencode', 'BsmtQual_Tencode|GarageCars', 'BsmtQual_Tencode|HouseStyle_Tencode', 'PoolArea|ExterQual_Tencode', 'LandContour_Tencode|CentralAir_Tencode', 'Fireplaces|YrSold', 'ScreenPorch|LowQualFinSF', '2ndFlrSF|1stFlrSF', 'BsmtFinSF1|MiscVal', 'LowQualFinSF|BsmtFinType2_Tencode', 'Condition2_Tencode|MasVnrType_Tencode', 'TotalBsmtSF|BsmtFinSF1', 'PoolArea|GarageFinish_Tencode', 'Fence_Tencode|Condition1_Tencode', '2ndFlrSF', 'BsmtUnfSF|PoolQC_Tencode', 'Alley_Tencode|MSSubClass', 'PoolQC_Tencode|BsmtFinType1_Tencode', 'MoSold|MasVnrType_Tencode', 'BsmtFinType1_Tencode|HouseStyle_Tencode', 'BsmtFinType2_Tencode|GarageType_Tencode', 'RoofMatl_Tencode|LandSlope_Tencode', 'CentralAir_Tencode|BldgType_Tencode', 'LandSlope_Tencode|OverallQual', 'RoofStyle_Tencode|BsmtCond_Tencode', 'GarageArea|HouseStyle_Tencode', 'Electrical_Tencode|BsmtFinType1_Tencode', 'OpenPorchSF|Heating_Tencode', 'Fence_Tencode|OverallQual', 'Fireplaces|MoSold', 'Foundation_Tencode|Exterior1st_Tencode', 'PavedDrive_Tencode|GarageQual_Tencode', 'MasVnrArea|Heating_Tencode', 'YrSold|HouseStyle_Tencode', 'LotConfig_Tencode|HalfBath', 'Exterior1st_Tencode|BsmtUnfSF', 'BsmtFinSF1|OpenPorchSF', 'Exterior1st_Tencode|YrSold', 'GarageYrBlt|MiscVal', '2ndFlrSF|FullBath', 'KitchenAbvGr|3SsnPorch', 'MSZoning_Tencode|GarageYrBlt', 'BldgType_Tencode|YearBuilt', 'PoolQC_Tencode|MiscFeature_Tencode', 'LandSlope_Tencode|LotConfig_Tencode', 'ScreenPorch|GarageCond_Tencode', 'ExterQual_Tencode|PoolQC_Tencode', 'BldgType_Tencode|Utilities_Tencode', 'BsmtFinSF2|GarageType_Tencode', 'Neighborhood_Tencode|SaleType_Tencode', '3SsnPorch|BsmtFinType1_Tencode', '2ndFlrSF|SaleType_Tencode', 'BsmtExposure_Tencode|BedroomAbvGr', 'Alley_Tencode|OpenPorchSF', '2ndFlrSF|Heating_Tencode', 'FireplaceQu_Tencode|BsmtExposure_Tencode', 'Condition2_Tencode|RoofStyle_Tencode', 'YearRemodAdd|CentralAir_Tencode', 'LotArea|OverallQual', 'Foundation_Tencode|BsmtUnfSF', 'EnclosedPorch|SaleType_Tencode', 'LandContour_Tencode|BsmtFinSF1', 'BsmtHalfBath|BsmtCond_Tencode', 'Electrical_Tencode|MiscFeature_Tencode', '3SsnPorch|WoodDeckSF', 'Fireplaces|GarageQual_Tencode', 'LandContour_Tencode|BsmtFinType1_Tencode', 'FireplaceQu_Tencode|RoofMatl_Tencode', 'MSSubClass|Exterior2nd_Tencode', 'ExterCond_Tencode|LowQualFinSF', 'Electrical_Tencode|Condition2_Tencode', 'RoofMatl_Tencode|PoolQC_Tencode', 'LandContour_Tencode|OverallCond', 'LowQualFinSF|Utilities_Tencode', 'BsmtQual_Tencode|PoolQC_Tencode', 'GrLivArea|OverallCond', 'HeatingQC_Tencode|Heating_Tencode', 'RoofMatl_Tencode|Functional_Tencode', 'ExterCond_Tencode|Fence_Tencode', 'Fireplaces|GarageCond_Tencode', 'YearBuilt', 'OpenPorchSF|BsmtFinType2_Tencode', 'Neighborhood_Tencode|HouseStyle_Tencode', 'Fireplaces|RoofStyle_Tencode', 'GarageCond_Tencode|BsmtFinType2_Tencode', 'MoSold|BldgType_Tencode', 'LandContour_Tencode|BsmtExposure_Tencode', 'BsmtHalfBath|PoolQC_Tencode', 'BsmtQual_Tencode|GarageCond_Tencode', 'Exterior1st_Tencode|Functional_Tencode', 'ScreenPorch|YearBuilt', 'MiscVal|GarageType_Tencode', 'BsmtExposure_Tencode|GarageCond_Tencode', 'GarageQual_Tencode|MasVnrType_Tencode', 'TotRmsAbvGrd|Exterior2nd_Tencode', 'LandContour_Tencode|LotConfig_Tencode', 'GarageArea|Utilities_Tencode', 'MSZoning_Tencode|LotShape_Tencode', 'LotShape_Tencode|OverallCond', 'LotConfig_Tencode|BsmtCond_Tencode', 'MasVnrArea', 'MSSubClass|BsmtFinSF1', 'GarageCond_Tencode|GarageFinish_Tencode', 'Alley_Tencode|CentralAir_Tencode', 'LandContour_Tencode|GarageType_Tencode', 'GarageArea|GarageType_Tencode', 'Foundation_Tencode|MoSold', 'BldgType_Tencode|GarageQual_Tencode', 'Alley_Tencode|Utilities_Tencode', 'BldgType_Tencode|Heating_Tencode', 'YearRemodAdd|LotConfig_Tencode', 'BsmtFinSF2|WoodDeckSF', 'KitchenAbvGr|TotRmsAbvGrd', 'BsmtExposure_Tencode|Condition1_Tencode', 'LotFrontage|KitchenQual_Tencode', 'Exterior1st_Tencode', 'BsmtExposure_Tencode|EnclosedPorch', 'BsmtCond_Tencode|Condition1_Tencode', 'BsmtFinSF2|MoSold', 'GrLivArea|GarageCars', '2ndFlrSF|EnclosedPorch', 'CentralAir_Tencode|Exterior2nd_Tencode', '1stFlrSF|GarageCars', 'MoSold|Exterior1st_Tencode', 'FullBath|WoodDeckSF', '2ndFlrSF|GarageType_Tencode', 'GrLivArea|OpenPorchSF', 'Electrical_Tencode|PoolArea', 'BsmtExposure_Tencode|OverallQual', 'MSZoning_Tencode|SaleType_Tencode', 'RoofMatl_Tencode|Exterior1st_Tencode', '2ndFlrSF|GarageCond_Tencode', 'Neighborhood_Tencode|MiscFeature_Tencode', 'RoofStyle_Tencode|MasVnrType_Tencode', 'GarageCond_Tencode|OverallCond', '3SsnPorch|Utilities_Tencode', 'GarageYrBlt|BsmtCond_Tencode', 'MSSubClass|Street_Tencode', 'MoSold|KitchenQual_Tencode', 'LotConfig_Tencode', 'EnclosedPorch|OpenPorchSF', 'Alley_Tencode|MiscFeature_Tencode', 'Street_Tencode|OpenPorchSF', '1stFlrSF|BedroomAbvGr', 'ExterCond_Tencode|Street_Tencode', 'FireplaceQu_Tencode|GrLivArea', 'BsmtQual_Tencode|LandSlope_Tencode', 'BsmtFinSF1|YearBuilt', 'BsmtCond_Tencode|MiscFeature_Tencode', 'LotConfig_Tencode|Utilities_Tencode', 'ExterCond_Tencode|SaleCondition_Tencode', 'EnclosedPorch|LotShape_Tencode', 'BsmtQual_Tencode|EnclosedPorch', 'RoofMatl_Tencode|CentralAir_Tencode', 'BsmtQual_Tencode|YearBuilt', 'FireplaceQu_Tencode|EnclosedPorch', 'Condition2_Tencode|SaleType_Tencode', 'GarageYrBlt|SaleType_Tencode', 'Condition2_Tencode|BsmtFinSF1', 'BsmtCond_Tencode|Functional_Tencode', 'Electrical_Tencode|Utilities_Tencode', 'Alley_Tencode|LandSlope_Tencode', 'CentralAir_Tencode|Fence_Tencode', 'BsmtFullBath|WoodDeckSF', 'TotalBsmtSF|PoolQC_Tencode', '1stFlrSF|YrSold', 'Exterior1st_Tencode|LowQualFinSF', 'EnclosedPorch|GarageType_Tencode', 'BldgType_Tencode|OverallQual', 'LotFrontage|BldgType_Tencode', 'LotFrontage|GarageArea', 'SaleCondition_Tencode|HeatingQC_Tencode', 'KitchenAbvGr|Utilities_Tencode', 'CentralAir_Tencode|MiscFeature_Tencode', '3SsnPorch|LotConfig_Tencode', 'BsmtFinSF1|SaleCondition_Tencode', 'YrSold|Functional_Tencode', 'Alley_Tencode|Functional_Tencode', 'LandSlope_Tencode|PoolQC_Tencode', 'MSZoning_Tencode|CentralAir_Tencode', 'GarageFinish_Tencode|PoolQC_Tencode', 'FireplaceQu_Tencode|LotFrontage', 'Electrical_Tencode|BsmtQual_Tencode', 'BldgType_Tencode|HouseStyle_Tencode', 'ExterCond_Tencode|Foundation_Tencode', '2ndFlrSF|RoofStyle_Tencode', 'KitchenQual_Tencode|HeatingQC_Tencode', 'Fireplaces|CentralAir_Tencode', 'LandContour_Tencode|OverallQual', 'RoofStyle_Tencode', 'MiscVal|Utilities_Tencode', 'BsmtFullBath|KitchenQual_Tencode', 'BsmtHalfBath|OpenPorchSF', 'BedroomAbvGr|BsmtFinType1_Tencode', 'FullBath|HalfBath', 'KitchenAbvGr|BsmtFinSF1', 'YearRemodAdd|BsmtQual_Tencode', 'RoofStyle_Tencode|Heating_Tencode', 'MoSold|FullBath', 'Fence_Tencode|Utilities_Tencode', 'LandContour_Tencode|BsmtUnfSF', 'BsmtExposure_Tencode|OverallCond', 'BsmtHalfBath|GarageArea', 'MSSubClass|YrSold', 'GrLivArea|YearRemodAdd', 'Fireplaces|GarageFinish_Tencode', 'BsmtQual_Tencode|CentralAir_Tencode', 'Street_Tencode|KitchenQual_Tencode', 'EnclosedPorch|GarageCars', 'ExterQual_Tencode|Neighborhood_Tencode', 'KitchenAbvGr|OverallQual', 'Exterior1st_Tencode|LotConfig_Tencode', 'Fence_Tencode|MasVnrType_Tencode', 'CentralAir_Tencode|PoolQC_Tencode', 'LotShape_Tencode|MasVnrType_Tencode', 'Exterior1st_Tencode|Heating_Tencode', 'Exterior2nd_Tencode|BsmtUnfSF', 'GarageYrBlt|Fence_Tencode', 'EnclosedPorch|OverallQual', 'YrSold|SaleCondition_Tencode', 'YearRemodAdd|PoolArea', 'GarageFinish_Tencode|HeatingQC_Tencode', '2ndFlrSF|MoSold', 'GarageCond_Tencode|BsmtFinType1_Tencode', 'SaleCondition_Tencode|BsmtUnfSF', 'Condition2_Tencode|BsmtFullBath', 'BsmtHalfBath|MiscFeature_Tencode', 'YearRemodAdd|GarageType_Tencode', 'BsmtFinSF1|RoofMatl_Tencode', 'PavedDrive_Tencode', 'KitchenQual_Tencode|GarageArea', 'BsmtFinType1_Tencode|GarageCars', 'YrSold|LandSlope_Tencode', 'MSZoning_Tencode|ExterQual_Tencode', 'TotRmsAbvGrd|PoolArea', 'PavedDrive_Tencode|BldgType_Tencode', 'BsmtFinSF2|Heating_Tencode', 'YearRemodAdd|Neighborhood_Tencode', 'BsmtFinType2_Tencode|OverallQual', 'YearBuilt|HouseStyle_Tencode', 'BsmtFinSF2|BsmtFinSF1', 'LandSlope_Tencode|LotShape_Tencode', 'GarageCond_Tencode|HalfBath', 'Street_Tencode|GarageQual_Tencode', 'FireplaceQu_Tencode|BsmtHalfBath', 'LotArea|BldgType_Tencode', 'GarageArea|Heating_Tencode', 'MSZoning_Tencode|GarageQual_Tencode', 'KitchenAbvGr|GarageFinish_Tencode', '2ndFlrSF|BedroomAbvGr', 'MasVnrArea|OpenPorchSF', 'MSZoning_Tencode|FullBath', 'LotShape_Tencode|BsmtFinType1_Tencode', 'BsmtHalfBath|MiscVal', 'TotRmsAbvGrd|BsmtExposure_Tencode', 'GarageYrBlt|WoodDeckSF', 'Street_Tencode|Condition1_Tencode', 'RoofMatl_Tencode|Condition1_Tencode', '3SsnPorch|LandSlope_Tencode', 'Exterior1st_Tencode|BedroomAbvGr', 'BsmtFinType2_Tencode|GarageQual_Tencode', 'BsmtHalfBath|Heating_Tencode', 'MasVnrArea|LandSlope_Tencode', 'GarageFinish_Tencode|MiscFeature_Tencode', 'KitchenQual_Tencode|BsmtFinType2_Tencode', 'MasVnrArea|RoofStyle_Tencode', 'TotalBsmtSF|KitchenAbvGr', 'LandSlope_Tencode|Utilities_Tencode', 'KitchenQual_Tencode|MiscFeature_Tencode', 'RoofMatl_Tencode|MasVnrType_Tencode', 'Condition1_Tencode|HouseStyle_Tencode', 'Electrical_Tencode|GarageCars', 'SaleCondition_Tencode|Heating_Tencode', 'BsmtFullBath|BsmtHalfBath', 'FullBath|Heating_Tencode', 'Fireplaces|Functional_Tencode', 'WoodDeckSF|BsmtUnfSF', 'RoofMatl_Tencode|Fence_Tencode', 'FireplaceQu_Tencode|Fireplaces', 'GarageYrBlt|KitchenQual_Tencode', 'LowQualFinSF|GarageType_Tencode', 'Foundation_Tencode|Exterior2nd_Tencode', 'ExterCond_Tencode|BsmtFullBath', 'PavedDrive_Tencode|LotFrontage', 'Electrical_Tencode|Fence_Tencode', 'BsmtFinSF2|ExterQual_Tencode', 'ExterQual_Tencode|MasVnrType_Tencode', 'LandContour_Tencode|FireplaceQu_Tencode', 'GrLivArea|GarageYrBlt', 'Condition1_Tencode|HeatingQC_Tencode', 'KitchenQual_Tencode|GarageCars', 'KitchenAbvGr', 'EnclosedPorch|ExterQual_Tencode', 'LandContour_Tencode', 'Electrical_Tencode|BsmtFullBath', 'Street_Tencode|GarageCars', 'GrLivArea|KitchenQual_Tencode', 'YearRemodAdd|GarageYrBlt', 'Exterior1st_Tencode|GarageFinish_Tencode', 'MSSubClass|BsmtFullBath', 'MSZoning_Tencode|LandSlope_Tencode', 'WoodDeckSF|YearBuilt', 'BsmtFinSF1|BsmtUnfSF', 'TotalBsmtSF|MiscVal', 'GarageArea|GarageQual_Tencode', 'RoofMatl_Tencode|HeatingQC_Tencode', 'GrLivArea|MasVnrType_Tencode', 'TotalBsmtSF|Alley_Tencode', '3SsnPorch|Street_Tencode', 'Foundation_Tencode|CentralAir_Tencode', 'Fence_Tencode|LotArea', 'GarageYrBlt|LowQualFinSF', 'KitchenAbvGr|SaleCondition_Tencode', 'BedroomAbvGr|LotArea', 'Utilities_Tencode|HouseStyle_Tencode', '1stFlrSF|LotConfig_Tencode', 'LandSlope_Tencode|MasVnrType_Tencode', 'BsmtFinSF2|1stFlrSF', 'SaleCondition_Tencode|RoofStyle_Tencode', 'YearBuilt|OverallCond', 'BedroomAbvGr|BldgType_Tencode', 'YrSold|GarageYrBlt', 'LandContour_Tencode|PoolQC_Tencode', 'Exterior2nd_Tencode|GarageArea', 'BedroomAbvGr|YearBuilt', 'Foundation_Tencode|WoodDeckSF', 'MasVnrArea|Condition2_Tencode', 'MasVnrArea|GarageYrBlt', 'SaleCondition_Tencode|WoodDeckSF', 'Condition1_Tencode|BldgType_Tencode', 'BsmtHalfBath|RoofStyle_Tencode', 'Condition1_Tencode|GarageCars', '3SsnPorch|KitchenQual_Tencode', 'FireplaceQu_Tencode|YrSold', 'Fence_Tencode|PoolQC_Tencode', 'ExterCond_Tencode|Exterior2nd_Tencode', 'LotFrontage|Fence_Tencode', 'BsmtFinSF2|BsmtCond_Tencode', 'YearRemodAdd|PoolQC_Tencode', 'Fence_Tencode|Functional_Tencode', 'Functional_Tencode|HalfBath', 'TotalBsmtSF|BedroomAbvGr', '2ndFlrSF|Functional_Tencode', 'MSZoning_Tencode|RoofMatl_Tencode', 'ScreenPorch|BsmtFinType1_Tencode', 'MiscVal|MiscFeature_Tencode', 'BsmtFullBath|BsmtFinType2_Tencode', 'Electrical_Tencode|BsmtFinType2_Tencode', 'LandContour_Tencode|MiscVal', 'Fireplaces|Street_Tencode', 'LotShape_Tencode|Neighborhood_Tencode', 'BldgType_Tencode|HalfBath', 'Fireplaces|LotShape_Tencode', 'YrSold|BsmtHalfBath', 'ScreenPorch|YrSold', 'Fence_Tencode|Neighborhood_Tencode', 'KitchenAbvGr|BedroomAbvGr', 'BsmtUnfSF|GarageArea', 'ExterCond_Tencode|RoofMatl_Tencode', 'FireplaceQu_Tencode|LowQualFinSF', 'HeatingQC_Tencode|MasVnrType_Tencode', 'TotalBsmtSF|YrSold', 'KitchenAbvGr|GarageArea', 'LotFrontage|BsmtFinType2_Tencode', 'Street_Tencode|Functional_Tencode', 'LotArea|GarageQual_Tencode', 'MiscVal|Neighborhood_Tencode', 'GarageFinish_Tencode|HouseStyle_Tencode', 'BsmtQual_Tencode|LotFrontage', 'BsmtExposure_Tencode|MiscFeature_Tencode', 'BsmtFinSF2|SaleType_Tencode', 'Fence_Tencode|GarageFinish_Tencode', 'Fireplaces|GarageArea', 'MoSold|Exterior2nd_Tencode', 'TotRmsAbvGrd|CentralAir_Tencode', 'BsmtHalfBath|LotFrontage', 'BsmtFinSF1|GarageQual_Tencode', 'ScreenPorch|PoolQC_Tencode', 'BedroomAbvGr|GarageType_Tencode', '2ndFlrSF|LowQualFinSF', 'Heating_Tencode|MasVnrType_Tencode', 'PoolArea|OverallQual', 'BsmtFinSF2|MiscFeature_Tencode', 'ExterQual_Tencode|BsmtCond_Tencode', 'BsmtHalfBath|SaleType_Tencode', 'Foundation_Tencode|KitchenQual_Tencode', 'RoofMatl_Tencode|HalfBath', 'PoolQC_Tencode|OpenPorchSF', 'Electrical_Tencode|RoofMatl_Tencode', 'GarageYrBlt|Street_Tencode', 'GarageQual_Tencode|HouseStyle_Tencode', 'BsmtHalfBath|BsmtFinType2_Tencode', 'MSZoning_Tencode|MoSold', 'MSSubClass|Fence_Tencode', 'Alley_Tencode', 'LotConfig_Tencode|BsmtUnfSF', 'FireplaceQu_Tencode|LandSlope_Tencode', 'LotArea|MiscFeature_Tencode', 'Electrical_Tencode|OverallCond', 'FireplaceQu_Tencode|GarageArea', 'ExterCond_Tencode|Fireplaces', 'TotalBsmtSF|KitchenQual_Tencode', 'RoofMatl_Tencode|YearBuilt', 'Functional_Tencode|HouseStyle_Tencode', 'BsmtFinSF1|LowQualFinSF', 'KitchenAbvGr|Condition1_Tencode', 'MasVnrArea|SaleType_Tencode', 'YearRemodAdd|Condition1_Tencode', 'PavedDrive_Tencode|LotConfig_Tencode', '2ndFlrSF|GarageQual_Tencode', 'CentralAir_Tencode|Condition1_Tencode', '2ndFlrSF|LotArea', 'Condition2_Tencode|BsmtHalfBath', 'WoodDeckSF|BldgType_Tencode', 'BsmtUnfSF|Heating_Tencode', 'Fireplaces', 'Neighborhood_Tencode|MasVnrType_Tencode', 'BedroomAbvGr|MasVnrType_Tencode', 'BsmtFinSF1|BsmtHalfBath', 'FullBath|Utilities_Tencode', 'RoofMatl_Tencode|GarageCars', '1stFlrSF|LowQualFinSF', 'HeatingQC_Tencode|YearBuilt', 'PavedDrive_Tencode|ExterQual_Tencode', 'BsmtFinSF2|GarageArea', 'GarageType_Tencode|Utilities_Tencode', 'FireplaceQu_Tencode|WoodDeckSF', '2ndFlrSF|WoodDeckSF', 'YrSold|EnclosedPorch', 'WoodDeckSF|Street_Tencode', 'LandContour_Tencode|3SsnPorch', 'BsmtFinType2_Tencode|YearBuilt', 'Alley_Tencode|GrLivArea', 'MoSold|LotFrontage', 'FullBath|Condition1_Tencode', 'Electrical_Tencode|LandSlope_Tencode', 'PavedDrive_Tencode|Functional_Tencode', 'GarageYrBlt|LotFrontage', 'PavedDrive_Tencode|KitchenQual_Tencode', 'TotRmsAbvGrd|OpenPorchSF', 'FullBath|YrSold', 'MasVnrArea|Fireplaces', 'EnclosedPorch|GarageQual_Tencode', 'BsmtHalfBath|YearBuilt', 'BsmtFinSF1|ScreenPorch', 'LotConfig_Tencode|GarageCars', 'MasVnrArea|Functional_Tencode', 'PoolArea|3SsnPorch', 'LotConfig_Tencode|Fence_Tencode', 'BedroomAbvGr', 'PoolArea|LotConfig_Tencode', 'BsmtQual_Tencode|Heating_Tencode', 'GarageQual_Tencode|MiscFeature_Tencode', 'GarageCond_Tencode|OverallQual', 'TotalBsmtSF|GarageYrBlt', 'Condition2_Tencode|BsmtFinType2_Tencode', 'LotArea|Utilities_Tencode', 'ExterCond_Tencode|LotConfig_Tencode', 'Functional_Tencode|GarageCars', 'KitchenQual_Tencode', 'TotalBsmtSF|BsmtUnfSF', 'RoofMatl_Tencode|HouseStyle_Tencode', 'MiscVal|HouseStyle_Tencode', 'MasVnrArea|SaleCondition_Tencode', '1stFlrSF|Heating_Tencode', 'BsmtHalfBath|Neighborhood_Tencode', 'YrSold|GarageArea', 'BsmtExposure_Tencode|PoolArea', 'OpenPorchSF|YearBuilt', 'FireplaceQu_Tencode|BsmtFinType1_Tencode', 'YrSold|HeatingQC_Tencode', 'BsmtFinSF2|BsmtFinType1_Tencode', 'MSSubClass|Exterior1st_Tencode', 'Street_Tencode|BsmtFinType2_Tencode', 'Exterior1st_Tencode|OverallCond', 'BsmtFinSF1|LotFrontage', 'HeatingQC_Tencode|OverallCond', 'ExterCond_Tencode|MoSold', 'Electrical_Tencode|Fireplaces', 'Condition2_Tencode|2ndFlrSF', 'ScreenPorch|LotArea', 'ExterCond_Tencode|MasVnrArea', 'HalfBath|SaleType_Tencode', 'KitchenAbvGr|HouseStyle_Tencode', 'MSZoning_Tencode|1stFlrSF', 'FullBath|LandSlope_Tencode', 'LandContour_Tencode|SaleCondition_Tencode', 'MSSubClass|BsmtUnfSF', 'ScreenPorch|Fence_Tencode', '3SsnPorch|Condition1_Tencode', 'BsmtHalfBath|GarageCond_Tencode', 'Alley_Tencode|MSZoning_Tencode', 'FullBath|OpenPorchSF', 'KitchenAbvGr|ExterQual_Tencode', 'MasVnrArea|MiscVal', 'Alley_Tencode|Condition1_Tencode', 'MSZoning_Tencode|Neighborhood_Tencode', 'MasVnrArea|LotFrontage', 'GarageYrBlt|BedroomAbvGr', 'LotFrontage|BsmtFinType1_Tencode', 'FullBath|LotFrontage', 'ScreenPorch|BsmtCond_Tencode', 'BsmtCond_Tencode|HeatingQC_Tencode', 'GarageCond_Tencode|YearBuilt', 'FireplaceQu_Tencode|KitchenQual_Tencode', 'Condition2_Tencode|FullBath', 'ExterCond_Tencode|BsmtFinSF1', '1stFlrSF|Exterior2nd_Tencode', 'BsmtFinSF2|SaleCondition_Tencode', '3SsnPorch|GarageType_Tencode', '2ndFlrSF|GarageYrBlt', 'LotConfig_Tencode|BedroomAbvGr', 'BsmtFinSF2|TotRmsAbvGrd', 'PoolArea|WoodDeckSF', 'Foundation_Tencode|RoofStyle_Tencode', 'LotFrontage|Street_Tencode', 'MoSold|BsmtFinType2_Tencode', 'LotShape_Tencode|Heating_Tencode', 'Street_Tencode|Heating_Tencode', 'ScreenPorch|SaleCondition_Tencode', 'Exterior2nd_Tencode|Street_Tencode', 'LowQualFinSF|OpenPorchSF', 'PoolQC_Tencode|GarageCars', 'PavedDrive_Tencode|EnclosedPorch', 'OpenPorchSF|BsmtFinType1_Tencode', '2ndFlrSF|Utilities_Tencode', 'FullBath|PavedDrive_Tencode', 'PoolQC_Tencode|MasVnrType_Tencode', 'BsmtFullBath|Fireplaces', 'GarageCond_Tencode|Functional_Tencode', 'BsmtUnfSF|BsmtFinType2_Tencode', 'MSSubClass|EnclosedPorch', 'BsmtFinSF2|Condition2_Tencode', 'LowQualFinSF|SaleType_Tencode', 'ScreenPorch|BsmtFinType2_Tencode', 'Condition2_Tencode|GarageYrBlt', 'Foundation_Tencode|OverallCond', 'RoofMatl_Tencode|GarageArea', 'GarageFinish_Tencode|BsmtFinType1_Tencode', 'GarageArea|GarageCars', 'GarageQual_Tencode|SaleType_Tencode', 'BedroomAbvGr|HeatingQC_Tencode', 'BsmtFinType1_Tencode|YearBuilt', 'MSZoning_Tencode|WoodDeckSF', 'Alley_Tencode|MiscVal', 'BsmtFullBath|BsmtCond_Tencode', '2ndFlrSF|HeatingQC_Tencode', 'BsmtCond_Tencode|BedroomAbvGr', 'YearRemodAdd|ExterQual_Tencode', 'YrSold|GarageFinish_Tencode', 'GarageYrBlt|Functional_Tencode', 'Condition1_Tencode|Utilities_Tencode', 'Foundation_Tencode|HeatingQC_Tencode', 'WoodDeckSF|GarageArea', 'LandContour_Tencode|Exterior2nd_Tencode', 'MiscVal|Condition1_Tencode', 'TotRmsAbvGrd|GarageCars', 'BsmtExposure_Tencode|BsmtQual_Tencode', 'Foundation_Tencode|BldgType_Tencode', 'GrLivArea|HeatingQC_Tencode', 'LandContour_Tencode|YrSold', 'KitchenAbvGr|FullBath', 'WoodDeckSF|MasVnrType_Tencode', 'Electrical_Tencode|TotRmsAbvGrd', 'BsmtFinType1_Tencode|Heating_Tencode', 'ExterCond_Tencode|Utilities_Tencode', 'MSZoning_Tencode|BsmtQual_Tencode', 'LandSlope_Tencode|LowQualFinSF', 'HeatingQC_Tencode|GarageType_Tencode', 'TotalBsmtSF|WoodDeckSF', 'Electrical_Tencode|FullBath', 'BsmtFinType2_Tencode|Neighborhood_Tencode', 'GarageArea|BedroomAbvGr', 'MoSold|PoolQC_Tencode', 'WoodDeckSF|PoolQC_Tencode', 'BsmtFinType2_Tencode|HalfBath', 'MoSold|MiscVal', 'YearRemodAdd|LotFrontage', '2ndFlrSF|BsmtQual_Tencode', 'MSSubClass|GarageCond_Tencode', 'TotalBsmtSF|TotRmsAbvGrd', 'ExterCond_Tencode|OpenPorchSF', 'PoolArea|SaleType_Tencode', 'Alley_Tencode|GarageArea', 'HeatingQC_Tencode|HalfBath', '3SsnPorch|GarageCars', 'TotRmsAbvGrd|GarageYrBlt', 'FireplaceQu_Tencode|Neighborhood_Tencode', 'PavedDrive_Tencode|GarageYrBlt', '3SsnPorch|BedroomAbvGr', 'Electrical_Tencode|BsmtHalfBath', 'GarageArea|LotShape_Tencode', 'LandContour_Tencode|Alley_Tencode', 'EnclosedPorch|Neighborhood_Tencode', 'GarageYrBlt|GarageType_Tencode', 'Exterior2nd_Tencode|LotArea', 'BsmtFullBath|1stFlrSF', 'LandContour_Tencode|PoolArea', 'TotRmsAbvGrd|YearRemodAdd', 'FullBath|EnclosedPorch', 'MSSubClass|WoodDeckSF', 'LotFrontage|Heating_Tencode', 'KitchenQual_Tencode|BsmtFinType1_Tencode', 'TotalBsmtSF|Functional_Tencode', 'MoSold|LotShape_Tencode', 'GarageYrBlt|Heating_Tencode', 'MasVnrType_Tencode|SaleType_Tencode', 'MSSubClass|Condition2_Tencode', 'OverallCond|MiscFeature_Tencode', 'Condition2_Tencode|BsmtQual_Tencode', 'PoolArea|OverallCond', 'Exterior1st_Tencode|GarageQual_Tencode', 'MSZoning_Tencode|GarageFinish_Tencode', 'HouseStyle_Tencode|MiscFeature_Tencode', 'Utilities_Tencode|MiscFeature_Tencode', 'Electrical_Tencode|BedroomAbvGr', 'CentralAir_Tencode|OpenPorchSF', 'RoofMatl_Tencode|LotShape_Tencode', 'BsmtFinSF1|CentralAir_Tencode', 'GarageCond_Tencode|MasVnrType_Tencode', 'Neighborhood_Tencode', 'FullBath|GarageCond_Tencode', 'TotRmsAbvGrd|BsmtHalfBath', 'TotRmsAbvGrd|SaleCondition_Tencode', 'PoolQC_Tencode|HalfBath', 'TotalBsmtSF|MSSubClass', 'FireplaceQu_Tencode|PoolArea', 'BsmtFullBath|BsmtUnfSF', 'TotRmsAbvGrd|GrLivArea', 'GarageCond_Tencode|HouseStyle_Tencode', 'MiscVal|HalfBath', 'LotFrontage|Functional_Tencode', 'ExterCond_Tencode|3SsnPorch', 'BsmtFullBath|ExterQual_Tencode', 'PavedDrive_Tencode|HeatingQC_Tencode', 'OverallCond|HalfBath', 'BsmtFinSF2|MasVnrArea', 'MSZoning_Tencode|3SsnPorch', 'YrSold|RoofStyle_Tencode', 'WoodDeckSF', 'MSZoning_Tencode|RoofStyle_Tencode', 'LandContour_Tencode|LotArea', 'Fence_Tencode', 'GrLivArea|LotShape_Tencode', 'FireplaceQu_Tencode|Utilities_Tencode', 'RoofMatl_Tencode|LotFrontage', 'HeatingQC_Tencode|BldgType_Tencode', 'HeatingQC_Tencode|Utilities_Tencode', '1stFlrSF|OpenPorchSF', 'RoofStyle_Tencode|MiscVal', 'BsmtCond_Tencode|GarageType_Tencode', 'Electrical_Tencode|PavedDrive_Tencode', 'MasVnrArea|HalfBath', 'Fireplaces|OpenPorchSF', 'KitchenAbvGr|Condition2_Tencode', 'OverallCond|Utilities_Tencode', 'FireplaceQu_Tencode|Exterior2nd_Tencode', 'Condition2_Tencode|Exterior1st_Tencode', 'GrLivArea|ScreenPorch', 'HeatingQC_Tencode|Neighborhood_Tencode', 'YearRemodAdd|SaleCondition_Tencode', 'RoofMatl_Tencode|BsmtHalfBath', 'FullBath|BedroomAbvGr', 'TotalBsmtSF|Street_Tencode', 'SaleCondition_Tencode|LowQualFinSF', 'PoolArea|BsmtFinType2_Tencode', 'PoolQC_Tencode|SaleType_Tencode', 'KitchenAbvGr|MSSubClass', 'BsmtFinSF1|LotConfig_Tencode', 'BsmtUnfSF|LotShape_Tencode', 'ExterQual_Tencode|HeatingQC_Tencode', 'BsmtFinType2_Tencode|HouseStyle_Tencode', 'PoolArea|YearBuilt', 'LandContour_Tencode|YearBuilt', 'BedroomAbvGr|MiscFeature_Tencode', 'YrSold|OverallQual', 'FullBath|Exterior2nd_Tencode', 'BsmtFinSF2|KitchenQual_Tencode', 'BsmtFinType2_Tencode|SaleType_Tencode', 'Fireplaces|ScreenPorch', 'LandContour_Tencode|GarageCond_Tencode', 'Foundation_Tencode|3SsnPorch', 'CentralAir_Tencode|LotArea', 'MoSold|Street_Tencode', 'BsmtExposure_Tencode|HeatingQC_Tencode', 'Heating_Tencode|HouseStyle_Tencode', 'Fence_Tencode|BedroomAbvGr', 'Exterior2nd_Tencode|OpenPorchSF', '1stFlrSF|SaleType_Tencode', 'Alley_Tencode|BsmtFullBath', 'BsmtFinSF1|BedroomAbvGr', 'ExterQual_Tencode|GarageArea', 'TotalBsmtSF', 'PavedDrive_Tencode|Condition1_Tencode', 'WoodDeckSF|GarageFinish_Tencode', 'KitchenAbvGr|BsmtFinType1_Tencode', 'RoofStyle_Tencode|LowQualFinSF', 'BsmtFinSF1|Fence_Tencode', 'BsmtFullBath|PoolArea', 'MSZoning_Tencode|GarageArea', 'LandContour_Tencode|Heating_Tencode', 'TotRmsAbvGrd|BldgType_Tencode', 'TotalBsmtSF|BldgType_Tencode', 'Alley_Tencode|GarageYrBlt', 'LandContour_Tencode|HouseStyle_Tencode', '3SsnPorch|OpenPorchSF', 'Electrical_Tencode|2ndFlrSF', 'ExterCond_Tencode|BsmtFinType1_Tencode', 'LowQualFinSF|PoolQC_Tencode', 'Foundation_Tencode|OverallQual', 'Fireplaces|SaleCondition_Tencode', 'LandContour_Tencode|Functional_Tencode', 'BsmtHalfBath|Street_Tencode', 'RoofStyle_Tencode|HalfBath', 'LotConfig_Tencode|LotShape_Tencode', 'TotalBsmtSF|ExterQual_Tencode', 'ScreenPorch|HalfBath', '1stFlrSF|FullBath', 'Condition1_Tencode|YearBuilt', 'LotConfig_Tencode|PoolQC_Tencode', 'LotShape_Tencode|Utilities_Tencode', 'GarageCond_Tencode|BsmtCond_Tencode', '3SsnPorch|RoofStyle_Tencode', 'TotRmsAbvGrd|Condition1_Tencode', 'PoolArea|HeatingQC_Tencode', 'LotConfig_Tencode|WoodDeckSF', 'GarageFinish_Tencode|MasVnrType_Tencode', 'BsmtExposure_Tencode|OpenPorchSF', 'BsmtFinType2_Tencode|MiscFeature_Tencode', 'MoSold|YearBuilt', 'SaleCondition_Tencode|Condition1_Tencode', 'GarageArea|OverallQual', 'FullBath|PoolQC_Tencode', 'FullBath|MiscFeature_Tencode', 'Foundation_Tencode|BsmtFinType2_Tencode', 'PoolArea|Neighborhood_Tencode', 'BsmtFinType1_Tencode|MiscFeature_Tencode', 'BldgType_Tencode|OverallCond', 'OverallCond|GarageQual_Tencode', 'KitchenAbvGr|CentralAir_Tencode', 'BsmtFinSF2|GarageQual_Tencode', 'LandSlope_Tencode', 'TotRmsAbvGrd|GarageType_Tencode', 'KitchenQual_Tencode|MasVnrType_Tencode', 'BsmtFinSF1|Neighborhood_Tencode', 'BsmtHalfBath|Exterior2nd_Tencode', 'TotRmsAbvGrd|MoSold', 'YrSold|HalfBath', 'MasVnrArea|BsmtCond_Tencode', 'ScreenPorch|LandSlope_Tencode', 'Fireplaces|GarageCars', 'SaleCondition_Tencode|BsmtFinType2_Tencode', 'MasVnrArea|LotShape_Tencode', 'MSSubClass|Fireplaces', 'BsmtExposure_Tencode|Neighborhood_Tencode', 'Exterior1st_Tencode|GarageCond_Tencode', 'Foundation_Tencode|BsmtCond_Tencode', 'FireplaceQu_Tencode|OverallQual', 'LotShape_Tencode|MiscFeature_Tencode', 'LandContour_Tencode|GarageCars', 'GarageArea|MiscFeature_Tencode', 'LotShape_Tencode|BldgType_Tencode', 'RoofMatl_Tencode|BsmtCond_Tencode', 'BsmtFinType1_Tencode|BldgType_Tencode', 'YrSold|GarageType_Tencode', 'GrLivArea|LotArea', 'ExterCond_Tencode|Exterior1st_Tencode', 'GrLivArea|SaleCondition_Tencode', 'BsmtFullBath|MiscFeature_Tencode', 'YrSold|BldgType_Tencode', 'BsmtExposure_Tencode|BsmtUnfSF', 'FullBath|GarageType_Tencode', 'BsmtHalfBath|Fence_Tencode', 'Electrical_Tencode|HouseStyle_Tencode', 'KitchenAbvGr|LotFrontage', 'YearRemodAdd|KitchenQual_Tencode', 'PoolQC_Tencode|Functional_Tencode', 'LowQualFinSF|GarageFinish_Tencode', 'GarageFinish_Tencode|LotShape_Tencode', 'ExterCond_Tencode|ExterQual_Tencode', 'LandContour_Tencode|Condition1_Tencode', 'OpenPorchSF|Neighborhood_Tencode', '1stFlrSF|CentralAir_Tencode', 'TotalBsmtSF|Exterior2nd_Tencode', 'MSSubClass|LowQualFinSF', 'Alley_Tencode|BsmtQual_Tencode', 'BsmtFinSF1|Exterior2nd_Tencode', 'ExterQual_Tencode|Condition1_Tencode', 'MSSubClass|BsmtFinType1_Tencode', 'FireplaceQu_Tencode|Condition1_Tencode', 'GarageQual_Tencode|Utilities_Tencode', 'MSZoning_Tencode|Exterior1st_Tencode', 'Fence_Tencode|HeatingQC_Tencode', 'Foundation_Tencode|Neighborhood_Tencode', 'LandSlope_Tencode|BsmtFinType2_Tencode', 'ScreenPorch|OverallCond', 'ScreenPorch|1stFlrSF', 'MiscVal|OverallCond', 'WoodDeckSF|MiscVal', 'LotArea|Heating_Tencode', 'LotConfig_Tencode|SaleType_Tencode', 'BsmtCond_Tencode|Street_Tencode', 'ScreenPorch|BsmtHalfBath', 'PoolArea|BsmtFinType1_Tencode', 'YrSold|CentralAir_Tencode', 'ScreenPorch|CentralAir_Tencode', '1stFlrSF|PavedDrive_Tencode', 'BsmtFullBath|MiscVal', 'YearRemodAdd|Fireplaces', 'TotRmsAbvGrd|Neighborhood_Tencode', 'BsmtFinSF2|LotConfig_Tencode', 'Condition1_Tencode|OpenPorchSF', 'SaleCondition_Tencode|LandSlope_Tencode', 'Electrical_Tencode|Functional_Tencode', 'CentralAir_Tencode|LowQualFinSF', 'BsmtFullBath|YrSold', 'SaleCondition_Tencode|PoolQC_Tencode', 'GarageYrBlt|LotArea', 'MSSubClass|LotConfig_Tencode', 'GarageCond_Tencode|BsmtUnfSF', 'YearBuilt|OverallQual', 'EnclosedPorch|Condition1_Tencode', 'Condition2_Tencode|KitchenQual_Tencode', 'RoofStyle_Tencode|Fence_Tencode', 'PoolArea|BedroomAbvGr', 'Fireplaces|BsmtFinType2_Tencode', 'RoofStyle_Tencode|PoolQC_Tencode', 'BsmtUnfSF|HouseStyle_Tencode', 'EnclosedPorch|LotFrontage', 'LotFrontage|HeatingQC_Tencode', 'ExterQual_Tencode|OverallCond', '3SsnPorch|HalfBath', 'HalfBath|HouseStyle_Tencode', 'GrLivArea|LandSlope_Tencode', 'Condition2_Tencode|Fireplaces', 'BsmtFinSF2|BsmtFullBath', 'MasVnrArea|Neighborhood_Tencode', 'Heating_Tencode|MiscFeature_Tencode', 'BsmtFinSF2|ScreenPorch', 'Electrical_Tencode|LotShape_Tencode', 'BedroomAbvGr|HouseStyle_Tencode', 'KitchenAbvGr|Fireplaces', 'FireplaceQu_Tencode|MasVnrType_Tencode', 'GarageFinish_Tencode|GarageQual_Tencode', 'Exterior1st_Tencode|LotArea', 'PoolArea|GarageType_Tencode', 'ScreenPorch|MiscVal', 'Foundation_Tencode|YearRemodAdd', 'SaleCondition_Tencode|LotConfig_Tencode', 'CentralAir_Tencode|WoodDeckSF', 'Fireplaces|HeatingQC_Tencode', 'ExterCond_Tencode|MSZoning_Tencode', 'ScreenPorch|FullBath', 'BsmtFinSF2|GarageCond_Tencode', 'RoofMatl_Tencode|BedroomAbvGr', 'CentralAir_Tencode|HeatingQC_Tencode', 'LandSlope_Tencode|EnclosedPorch', 'BsmtExposure_Tencode|HouseStyle_Tencode', 'BsmtFinSF2|YrSold', 'Fireplaces|EnclosedPorch', 'RoofMatl_Tencode|1stFlrSF', 'ExterCond_Tencode|GarageFinish_Tencode', 'EnclosedPorch|WoodDeckSF', 'Fireplaces|BldgType_Tencode', 'GarageYrBlt|OpenPorchSF', '3SsnPorch|MiscVal', 'GarageArea|MasVnrType_Tencode', 'MoSold|HalfBath', 'BsmtFullBath|YearRemodAdd', 'Electrical_Tencode|YearRemodAdd', 'YearRemodAdd|YearBuilt', 'BsmtFinSF2|HouseStyle_Tencode', 'Fence_Tencode|Heating_Tencode', 'Fireplaces|Exterior2nd_Tencode', 'MoSold|Heating_Tencode', 'BsmtFullBath|GarageType_Tencode', 'YrSold|BsmtQual_Tencode', 'TotalBsmtSF|LotConfig_Tencode', 'KitchenAbvGr|LotArea', 'Exterior2nd_Tencode|SaleType_Tencode', 'BsmtExposure_Tencode|BsmtFinType2_Tencode', 'Exterior1st_Tencode|MiscVal', 'GarageArea|Neighborhood_Tencode', 'RoofMatl_Tencode|FullBath', 'LandSlope_Tencode|GarageCond_Tencode', '2ndFlrSF|KitchenQual_Tencode', '1stFlrSF|YearBuilt', 'Fireplaces|PoolArea', 'MoSold|GarageQual_Tencode', '1stFlrSF|GarageFinish_Tencode', 'BsmtFinType1_Tencode|OverallQual', 'YrSold|WoodDeckSF', 'Condition2_Tencode|EnclosedPorch', 'KitchenAbvGr|LowQualFinSF', 'LotConfig_Tencode|MiscFeature_Tencode', 'LotArea|HouseStyle_Tencode', 'TotRmsAbvGrd|LotConfig_Tencode', 'BsmtFinSF2|Street_Tencode', 'ExterCond_Tencode|BedroomAbvGr', 'OverallCond|GarageType_Tencode', 'PavedDrive_Tencode|Neighborhood_Tencode', 'Foundation_Tencode|SaleType_Tencode', 'PoolArea|MiscFeature_Tencode', 'BsmtExposure_Tencode|FullBath', 'FullBath|RoofStyle_Tencode', 'PavedDrive_Tencode|BsmtCond_Tencode', 'ScreenPorch|BldgType_Tencode', 'LowQualFinSF|HouseStyle_Tencode', 'PavedDrive_Tencode|LotShape_Tencode', 'KitchenAbvGr|YearBuilt', 'SaleCondition_Tencode|BsmtQual_Tencode', 'YearRemodAdd|RoofMatl_Tencode', 'RoofStyle_Tencode|Condition1_Tencode', 'Exterior1st_Tencode|HouseStyle_Tencode', 'MiscVal|OverallQual', 'LandContour_Tencode|OpenPorchSF', 'YearRemodAdd|Utilities_Tencode', 'BsmtFinSF2|Utilities_Tencode', 'Condition2_Tencode', 'BsmtQual_Tencode|SaleType_Tencode', 'KitchenAbvGr|Street_Tencode', 'Condition2_Tencode|GarageCars', 'LandSlope_Tencode|HouseStyle_Tencode', 'Electrical_Tencode|BsmtFinSF2', 'YrSold|ExterQual_Tencode', 'BsmtHalfBath|Functional_Tencode', 'BsmtFinSF1', 'Electrical_Tencode|GarageYrBlt', 'ExterQual_Tencode|BsmtFinType2_Tencode', 'Electrical_Tencode|ExterQual_Tencode', 'CentralAir_Tencode|OverallCond', 'Heating_Tencode|OverallQual', '1stFlrSF|EnclosedPorch', 'YearRemodAdd|OverallCond', 'KitchenQual_Tencode|LotShape_Tencode', '3SsnPorch|BsmtHalfBath', 'CentralAir_Tencode|GarageArea', 'WoodDeckSF|HouseStyle_Tencode', 'Exterior2nd_Tencode|Utilities_Tencode', 'GarageYrBlt|YearBuilt', 'ExterCond_Tencode|HalfBath', 'MiscVal|Heating_Tencode', 'Street_Tencode|LotShape_Tencode', 'BsmtUnfSF|Neighborhood_Tencode', 'BsmtFinSF2|Foundation_Tencode', 'MiscVal|BsmtFinType1_Tencode', 'Condition2_Tencode|MiscFeature_Tencode', 'BsmtFinSF2|3SsnPorch', 'MSZoning_Tencode|BldgType_Tencode', '1stFlrSF|BsmtQual_Tencode', 'KitchenQual_Tencode|HouseStyle_Tencode', 'TotRmsAbvGrd|GarageQual_Tencode', 'SaleCondition_Tencode|BsmtFinType1_Tencode', 'LotArea|SaleType_Tencode', 'Condition1_Tencode|BedroomAbvGr', 'MoSold|OverallCond', 'LandContour_Tencode|Exterior1st_Tencode', 'MasVnrArea|FullBath', 'ExterCond_Tencode|GarageYrBlt', 'LowQualFinSF|GarageCars', 'YearRemodAdd|GarageCond_Tencode', 'FullBath|BsmtCond_Tencode', 'BldgType_Tencode|GarageType_Tencode', 'Street_Tencode|HeatingQC_Tencode', 'Alley_Tencode|BldgType_Tencode', 'GarageCond_Tencode|MiscFeature_Tencode', 'Condition2_Tencode|HalfBath', 'GarageCond_Tencode', 'LotConfig_Tencode|KitchenQual_Tencode', 'PavedDrive_Tencode|OverallCond', 'EnclosedPorch|BsmtCond_Tencode', 'LotFrontage', 'BsmtFinSF1|HeatingQC_Tencode', 'LandSlope_Tencode|WoodDeckSF', 'FireplaceQu_Tencode|Street_Tencode', 'ExterQual_Tencode|KitchenQual_Tencode', 'PavedDrive_Tencode|LowQualFinSF', 'BedroomAbvGr|OverallCond', 'LandSlope_Tencode|MiscVal', 'ScreenPorch|GarageQual_Tencode', 'BsmtHalfBath|LandSlope_Tencode', 'EnclosedPorch|KitchenQual_Tencode', 'BsmtFinSF2|HeatingQC_Tencode', 'MSSubClass|MiscVal', 'Street_Tencode|SaleType_Tencode', 'Fireplaces|OverallQual', '3SsnPorch|Neighborhood_Tencode', 'MSZoning_Tencode|BedroomAbvGr', 'BsmtFullBath|Utilities_Tencode', 'GarageArea|OpenPorchSF', 'Alley_Tencode|Fence_Tencode', 'LotArea', 'GarageFinish_Tencode|KitchenQual_Tencode', 'BsmtExposure_Tencode|RoofStyle_Tencode', 'Functional_Tencode|SaleType_Tencode', 'BsmtUnfSF|BldgType_Tencode', 'TotalBsmtSF|MSZoning_Tencode', '1stFlrSF|LotArea', 'LandContour_Tencode|GarageArea', 'Functional_Tencode|Utilities_Tencode', 'PavedDrive_Tencode|GarageCars', 'Electrical_Tencode|BsmtExposure_Tencode', 'GarageArea|YearBuilt', 'FireplaceQu_Tencode|MSZoning_Tencode', 'HeatingQC_Tencode|BsmtFinType1_Tencode', 'CentralAir_Tencode|GarageFinish_Tencode', 'MasVnrArea|GarageCars', 'ScreenPorch|PoolArea', 'RoofMatl_Tencode|KitchenQual_Tencode', 'SaleType_Tencode', 'ExterQual_Tencode|WoodDeckSF', 'GarageType_Tencode|HouseStyle_Tencode', 'FireplaceQu_Tencode|ScreenPorch', 'MiscVal|KitchenQual_Tencode', 'Foundation_Tencode|BsmtFinType1_Tencode', 'Foundation_Tencode|LandSlope_Tencode', 'EnclosedPorch', 'SaleCondition_Tencode|BsmtHalfBath', '3SsnPorch|Exterior2nd_Tencode', '2ndFlrSF|OpenPorchSF', 'KitchenAbvGr|GarageCars', 'MasVnrArea|BsmtFinSF1', 'Foundation_Tencode|MasVnrArea', 'Foundation_Tencode|2ndFlrSF', 'GarageFinish_Tencode|Utilities_Tencode', 'YearRemodAdd|LotShape_Tencode', 'BsmtQual_Tencode|BsmtCond_Tencode', 'Condition1_Tencode|LotArea', 'BsmtQual_Tencode|BsmtHalfBath', 'BsmtExposure_Tencode|GarageYrBlt', 'BsmtFinSF1|PavedDrive_Tencode', 'SaleCondition_Tencode|GarageCars', 'BsmtQual_Tencode|BldgType_Tencode', 'LotFrontage|MasVnrType_Tencode', 'Electrical_Tencode|Alley_Tencode', 'SaleCondition_Tencode|GarageQual_Tencode', 'MiscVal|Street_Tencode', 'BsmtFullBath|OpenPorchSF', 'GarageCond_Tencode|Street_Tencode', 'BsmtFullBath|LotFrontage', 'Alley_Tencode|BsmtFinSF1', '1stFlrSF|RoofStyle_Tencode', 'BsmtFullBath', 'KitchenAbvGr|MasVnrType_Tencode', 'PavedDrive_Tencode|GarageCond_Tencode', 'TotalBsmtSF|RoofStyle_Tencode', 'ExterQual_Tencode|Heating_Tencode', 'TotRmsAbvGrd|Fence_Tencode', 'Electrical_Tencode|LotConfig_Tencode', 'TotalBsmtSF|1stFlrSF', 'MSZoning_Tencode|HeatingQC_Tencode', 'TotRmsAbvGrd|MSSubClass', 'ExterQual_Tencode|OverallQual', 'RoofMatl_Tencode|OverallCond', 'MSSubClass|FullBath', 'MiscVal|SaleType_Tencode', 'CentralAir_Tencode|GarageType_Tencode', 'GarageCond_Tencode|OpenPorchSF', 'ScreenPorch|BsmtQual_Tencode', 'GarageCond_Tencode|KitchenQual_Tencode', 'PoolArea|HalfBath', 'BsmtFinSF2|OverallCond', 'BsmtCond_Tencode|KitchenQual_Tencode', 'BsmtFullBath|GarageCars', 'LandContour_Tencode|LandSlope_Tencode', 'YearRemodAdd|SaleType_Tencode', 'BsmtFinSF1|Heating_Tencode', 'Condition1_Tencode|MasVnrType_Tencode', 'Electrical_Tencode|SaleType_Tencode', 'Foundation_Tencode|FullBath', 'BsmtFinType2_Tencode|Utilities_Tencode', 'KitchenAbvGr|Foundation_Tencode', 'Exterior2nd_Tencode|Functional_Tencode', 'Condition2_Tencode|HouseStyle_Tencode', 'MasVnrArea|OverallCond', 'SaleCondition_Tencode|OpenPorchSF', 'TotRmsAbvGrd|WoodDeckSF', 'BsmtFinSF2|YearRemodAdd', 'Alley_Tencode|PavedDrive_Tencode', 'GarageFinish_Tencode|GarageType_Tencode', 'MasVnrArea|GarageCond_Tencode', 'Fence_Tencode|GarageCars', 'RoofMatl_Tencode|PavedDrive_Tencode', 'BsmtExposure_Tencode|BsmtCond_Tencode', 'BsmtFinType1_Tencode|Neighborhood_Tencode', 'BsmtFinSF1|OverallQual', 'RoofMatl_Tencode|GarageFinish_Tencode', 'RoofMatl_Tencode|Exterior2nd_Tencode', 'BsmtFinSF1|BsmtFinType1_Tencode', 'PoolArea|Utilities_Tencode', 'HalfBath|OverallQual', 'Functional_Tencode|GarageQual_Tencode', 'LandSlope_Tencode|BldgType_Tencode', 'LandContour_Tencode|FullBath', 'RoofMatl_Tencode|Utilities_Tencode', 'Condition2_Tencode|MoSold', 'MSSubClass|PavedDrive_Tencode', 'KitchenAbvGr|PoolArea', 'FireplaceQu_Tencode|Foundation_Tencode', 'GrLivArea|BsmtFinSF1', 'MasVnrArea|PavedDrive_Tencode', 'YearRemodAdd|BsmtFinType2_Tencode', 'MiscVal|LotShape_Tencode', '2ndFlrSF|BsmtUnfSF', 'KitchenAbvGr|GarageCond_Tencode', 'Condition2_Tencode|BsmtExposure_Tencode', 'FireplaceQu_Tencode|GarageCars', 'GrLivArea|YearBuilt', 'Condition2_Tencode|1stFlrSF', 'Heating_Tencode|Utilities_Tencode', 'MSZoning_Tencode|BsmtUnfSF', 'Street_Tencode|BsmtFinType1_Tencode', 'GarageCond_Tencode|Neighborhood_Tencode', 'BsmtFinSF2|BedroomAbvGr', 'ExterQual_Tencode|LowQualFinSF', '3SsnPorch|BsmtUnfSF', 'KitchenAbvGr|MasVnrArea']
Categorical = ['HeatingQC', 'BsmtFinType2', 'Foundation', 'HouseStyle', 'Functional', 'SaleCondition', 'Condition1', 'ExterCond', 'Alley', 'PavedDrive', 'Neighborhood', 'Exterior2nd', 'BsmtQual', 'LotConfig', 'KitchenQual', 'RoofStyle', 'PoolQC', 'BsmtCond', 'GarageCond', 'CentralAir', 'MSZoning', 'FireplaceQu', 'LotShape', 'MasVnrType', 'BldgType', 'SaleType', 'Exterior1st', 'ExterQual', 'Street', 'Condition2', 'RoofMatl', 'Utilities', 'LandContour', 'LandSlope', 'Electrical', 'BsmtExposure', 'Heating', 'GarageType', 'GarageFinish', 'MiscFeature', 'GarageQual', 'Fence', 'BsmtFinType1']
In [137]:
# check number of created variables is correct
# 1 id column, 1 target column, 79 original + encoded numeric columns, 43 original categorical variables
# sum(range(1, 79)) combined variables
print(train.shape == (1001, sum(range(1, 79), (79 + 43 + 1 + 1))))
print(test.shape == (1459, sum(range(1, 79), (79 + 43 + 1 + 1))))
True
True
In [138]:
# check multiplication for a random column
ridx = np.random.choice(sum(range(1, 79)))
combined_only = [name for name in encoded_combined_nums if name not in encoded_nums]
combined_check_vars = combined_only[ridx].split('|')
combined_check_vars.append(combined_only[ridx])
print(train[736, combined_check_vars])
print(test[637, combined_check_vars])
print(train[736, combined_check_vars[0]]*train[736, combined_check_vars[1]])
print(test[637, combined_check_vars[0]]*test[637, combined_check_vars[1]])
CentralAir_Tencode MasVnrType_Tencode CentralAir_Tencode|MasVnrType_Tencode 186782 203515 3.8013e+10
CentralAir_Tencode MasVnrType_Tencode CentralAir_Tencode|MasVnrType_Tencode 184861 157482 2.91123e+10
38012996430.17197
29112284469.574463
In [139]:
h2o.show_progress() # turn on progress bars
In [140]:
# Check log transform - looks good
%matplotlib inline
train['SalePrice'].log().as_data_frame().hist()
# Execute log transform
train['SalePrice'] = train['SalePrice'].log()
valid['SalePrice'] = valid['SalePrice'].log()
print(train[0:3, 'SalePrice'])
SalePrice 12.2477 12.109 12.3172
In [141]:
def ranked_preds_plot(y, valid, preds):
""" Generates ranked prediction plot.
:param y: Name of target variable.
:param valid: Name of validation H2OFrame.
:param preds: Column vector of predictions to plot.
"""
# plot top frame values
preds.columns = ['predict']
yhat_frame = valid.cbind(preds)
print(yhat_frame[0:10, [y, 'predict']])
# plot sorted predictions
yhat_frame_df = yhat_frame[[y, 'predict']].as_data_frame()
yhat_frame_df.sort_values(by='predict', inplace=True)
yhat_frame_df.reset_index(inplace=True, drop=True)
_ = yhat_frame_df.plot(title='Ranked Predictions Plot')
In [142]:
import re
import time
def gen_submission(preds, test=test):
""" Generates submission file for Kaggle House Prices contest.
:param preds: Column vector of predictions.
:param test: Test data.
"""
# create time stamp
time_stamp = re.sub('[: ]', '_', time.asctime())
# create predictions column
sub = test['Id'].cbind(preds.exp())
sub.columns = ['Id', 'SalePrice']
# save file for submission
sub_fname = '../data/submission_' + str(time_stamp) + '.csv'
h2o.download_csv(sub, sub_fname)
In [143]:
import os
def pred_blender(dir_, files):
""" Performs simple blending of prediction files.
:param dir_: Directory in which files to be read are stored.
:param files: List of prediction files to be blended.
"""
# read predictions in files list and cbind
for i, file in enumerate(files):
if i == 0:
df = pd.read_csv(dir_ + os.sep + file).drop('SalePrice', axis=1)
col = pd.read_csv(dir_ + os.sep + file).drop('Id', axis=1)
col.columns = ['SalePrice' + str(i)]
df = pd.concat([df, col], axis=1)
# create mean prediction
df['mean'] = df.iloc[:, 1:].mean(axis=1)
print(df.head())
# create time stamp
time_stamp = re.sub('[: ]', '_', time.asctime())
# write new submission file
df = df[['Id', 'mean']]
df.columns = ['Id', 'SalePrice']
# save file for submission
sub_fname = '../data/submission_' + str(time_stamp) + '.csv'
df.to_csv(sub_fname, index=False)
In [191]:
# initialize rf model
rf_model1 = H2ORandomForestEstimator(
ntrees=10000,
max_depth=10,
col_sample_rate_per_tree=0.1,
sample_rate=0.8,
stopping_rounds=50,
score_each_iteration=True,
nfolds=3,
keep_cross_validation_predictions=True,
seed=12345)
# train rf model
rf_model1.train(
x=encoded_combined_nums,
y='SalePrice',
training_frame=train,
validation_frame=valid)
# print model information
print(rf_model1)
rf_preds1_val = rf_model1.predict(valid)
ranked_preds_plot('SalePrice', valid, rf_preds1_val) # valid RMSE not so hot ...
rf_preds1_test = rf_model1.predict(test)
gen_submission(rf_preds1_test) # 0.14574 public leaderboard
drf Model Build progress: |███████████████████████████████████████████████| 100%
Model Details
=============
H2ORandomForestEstimator : Distributed Random Forest
Model Key: DRF_model_python_1497530715156_39
ModelMetricsRegression: drf
** Reported on train data. **
MSE: 0.017103284870273683
RMSE: 0.13077952771849913
MAE: 0.08983148719488154
RMSLE: 0.010147981199023763
Mean Residual Deviance: 0.017103284870273683
ModelMetricsRegression: drf
** Reported on validation data. **
MSE: 0.018264657787037664
RMSE: 0.13514680087607572
MAE: 0.09885812331003446
RMSLE: 0.010437127656733918
Mean Residual Deviance: 0.018264657787037664
ModelMetricsRegression: drf
** Reported on cross-validation data. **
MSE: 0.018240553858393096
RMSE: 0.13505759459724245
MAE: 0.08959435620967451
RMSLE: 0.010509925297604954
Mean Residual Deviance: 0.018240553858393096
Cross-Validation Metrics Summary:
mean
sd
cv_1_valid
cv_2_valid
cv_3_valid mae
0.0895260
0.0011247
0.0884336
0.0917750
0.0883693 mean_residual_deviance
0.0182064
0.0015892
0.0198677
0.0197224
0.0150292 mse
0.0182064
0.0015892
0.0198677
0.0197224
0.0150292 r2
0.8818927
0.0041669
0.8741716
0.8884693
0.8830372 residual_deviance
0.0182064
0.0015892
0.0198677
0.0197224
0.0150292 rmse
0.1346610
0.0060355
0.1409529
0.1404365
0.1225936 rmsle
0.0104696
0.0005393
0.0109937
0.0110241
0.0093911
Scoring History:
timestamp
duration
number_of_trees
training_rmse
training_mae
training_deviance
validation_rmse
validation_mae
validation_deviance 2017-06-15 15:57:45
1 min 57.627 sec
0.0
nan
nan
nan
nan
nan
nan 2017-06-15 15:57:45
1 min 57.913 sec
1.0
0.2238943
0.1450992
0.0501287
0.2240792
0.1536762
0.0502115 2017-06-15 15:57:46
1 min 58.201 sec
2.0
0.2128776
0.1448769
0.0453169
0.1786217
0.1306484
0.0319057 2017-06-15 15:57:46
1 min 58.471 sec
3.0
0.2079195
0.1440704
0.0432305
0.1662800
0.1209441
0.0276490 2017-06-15 15:57:46
1 min 58.784 sec
4.0
0.2063258
0.1396038
0.0425703
0.1603434
0.1209225
0.0257100 ---
---
---
---
---
---
---
---
---
--- 2017-06-15 15:58:28
2 min 40.497 sec
147.0
0.1309164
0.0898152
0.0171391
0.1351602
0.0988925
0.0182683 2017-06-15 15:58:28
2 min 40.806 sec
148.0
0.1307827
0.0897553
0.0171041
0.1351861
0.0988916
0.0182753 2017-06-15 15:58:29
2 min 41.204 sec
149.0
0.1306617
0.0897194
0.0170725
0.1351723
0.0989532
0.0182715 2017-06-15 15:58:29
2 min 41.525 sec
150.0
0.1306832
0.0898671
0.0170781
0.1350215
0.0987829
0.0182308 2017-06-15 15:58:29
2 min 41.839 sec
151.0
0.1307795
0.0898315
0.0171033
0.1351468
0.0988581
0.0182647
See the whole table with table.as_data_frame()
Variable Importances:
variable
relative_importance
scaled_importance
percentage GrLivArea|Neighborhood_Tencode
1603.1712646
1.0
0.0770906 Neighborhood_Tencode|OverallQual
1294.7052002
0.8075901
0.0622576 LotShape_Tencode|OverallQual
1124.1563721
0.7012079
0.0540566 GrLivArea|OverallQual
958.2045288
0.5976932
0.0460765 YearRemodAdd|OverallQual
816.1578369
0.5090896
0.0392460 ---
---
---
--- MiscVal|HouseStyle_Tencode
0.0
0.0
0.0 MiscVal|MiscFeature_Tencode
0.0
0.0
0.0 Street_Tencode|PoolQC_Tencode
0.0
0.0
0.0 Street_Tencode|GarageQual_Tencode
0.0
0.0
0.0 Street_Tencode|Utilities_Tencode
0.0
0.0
0.0
See the whole table with table.as_data_frame()
drf prediction progress: |████████████████████████████████████████████████| 100%
SalePrice predict 11.8494 12.1712 12.2061 12.3031 11.6784 11.71 11.7906 11.7274 11.9117 11.825 11.9767 11.8828 11.8451 11.7094 11.1346 11.1583 11.914 11.7471 11.8845 11.8584
drf prediction progress: |████████████████████████████████████████████████| 100%
In [192]:
# initialize extra trees model
ert_model1 = H2ORandomForestEstimator(
ntrees=10000,
max_depth=10,
col_sample_rate_per_tree=0.1,
sample_rate=0.8,
stopping_rounds=50,
score_each_iteration=True,
nfolds=3,
keep_cross_validation_predictions=True,
seed=12345,
histogram_type='random') # <- this is what makes it ERT instead of RF
# train ert model
ert_model1.train(
x=encoded_combined_nums,
y='SalePrice',
training_frame=train,
validation_frame=valid)
# print model information/create submission
print(ert_model1)
ert_preds1_val = ert_model1.predict(valid)
ranked_preds_plot('SalePrice', valid, ert_preds1_val) # valid RMSE not so hot ...
ert_preds1_test = ert_model1.predict(test)
gen_submission(ert_preds1_test) # 0.14855 public leaderboard
drf Model Build progress: |███████████████████████████████████████████████| 100%
Model Details
=============
H2ORandomForestEstimator : Distributed Random Forest
Model Key: DRF_model_python_1497530715156_40
ModelMetricsRegression: drf
** Reported on train data. **
MSE: 0.017324102070941275
RMSE: 0.13162105481624614
MAE: 0.0892460685529443
RMSLE: 0.01021143122248222
Mean Residual Deviance: 0.017324102070941275
ModelMetricsRegression: drf
** Reported on validation data. **
MSE: 0.018656079782938404
RMSE: 0.1365872606905139
MAE: 0.10084357998026773
RMSLE: 0.010555786838637508
Mean Residual Deviance: 0.018656079782938404
ModelMetricsRegression: drf
** Reported on cross-validation data. **
MSE: 0.018342256462386228
RMSE: 0.13543358690659502
MAE: 0.08997786478212023
RMSLE: 0.010550036662112572
Mean Residual Deviance: 0.018342256462386228
Cross-Validation Metrics Summary:
mean
sd
cv_1_valid
cv_2_valid
cv_3_valid mae
0.0898772
0.0017086
0.0886332
0.0932554
0.0877428 mean_residual_deviance
0.0182870
0.0017292
0.0195059
0.0204803
0.0148747 mse
0.0182870
0.0017292
0.0195059
0.0204803
0.0148747 r2
0.8816286
0.0025828
0.8764631
0.8841832
0.8842394 residual_deviance
0.0182870
0.0017292
0.0195059
0.0204803
0.0148747 rmse
0.1349117
0.0065509
0.1396636
0.1431096
0.1219619 rmsle
0.0104987
0.0005839
0.0108981
0.0112494
0.0093487
Scoring History:
timestamp
duration
number_of_trees
training_rmse
training_mae
training_deviance
validation_rmse
validation_mae
validation_deviance 2017-06-15 16:01:03
2 min 31.304 sec
0.0
nan
nan
nan
nan
nan
nan 2017-06-15 16:01:03
2 min 31.617 sec
1.0
0.2284850
0.1509611
0.0522054
0.2306071
0.1621440
0.0531797 2017-06-15 16:01:03
2 min 31.930 sec
2.0
0.2095138
0.1431641
0.0438960
0.1743004
0.1268387
0.0303806 2017-06-15 16:01:04
2 min 32.227 sec
3.0
0.2178683
0.1450369
0.0474666
0.1619895
0.1186909
0.0262406 2017-06-15 16:01:04
2 min 32.541 sec
4.0
0.2080616
0.1395749
0.0432896
0.1589995
0.1206055
0.0252808 ---
---
---
---
---
---
---
---
---
--- 2017-06-15 16:01:56
3 min 24.856 sec
166.0
0.1317246
0.0892813
0.0173514
0.1366875
0.1009726
0.0186835 2017-06-15 16:01:57
3 min 25.177 sec
167.0
0.1316493
0.0891682
0.0173315
0.1367468
0.1010049
0.0186997 2017-06-15 16:01:57
3 min 25.481 sec
168.0
0.1316442
0.0891711
0.0173302
0.1367110
0.1009699
0.0186899 2017-06-15 16:01:57
3 min 25.830 sec
169.0
0.1315860
0.0892515
0.0173149
0.1365025
0.1008243
0.0186329 2017-06-15 16:01:58
3 min 26.258 sec
170.0
0.1316211
0.0892461
0.0173241
0.1365873
0.1008436
0.0186561
See the whole table with table.as_data_frame()
Variable Importances:
variable
relative_importance
scaled_importance
percentage GrLivArea|Neighborhood_Tencode
1777.0230713
1.0
0.0758818 Neighborhood_Tencode|OverallQual
1632.1829834
0.9184928
0.0696969 LotShape_Tencode|OverallQual
1124.0327148
0.6325369
0.0479981 GrLivArea|OverallQual
1066.8115234
0.6003363
0.0455546 BldgType_Tencode|OverallQual
883.5972290
0.4972345
0.0377311 ---
---
---
--- MiscVal|HouseStyle_Tencode
0.0
0.0
0.0 MiscVal|MiscFeature_Tencode
0.0
0.0
0.0 MiscVal|OverallQual
0.0
0.0
0.0 Street_Tencode|PoolQC_Tencode
0.0
0.0
0.0 Street_Tencode|Heating_Tencode
0.0
0.0
0.0
See the whole table with table.as_data_frame()
drf prediction progress: |████████████████████████████████████████████████| 100%
SalePrice predict 11.8494 12.158 12.2061 12.3103 11.6784 11.701 11.7906 11.716 11.9117 11.8218 11.9767 11.8833 11.8451 11.6965 11.1346 11.1619 11.914 11.7635 11.8845 11.8395
drf prediction progress: |████████████████████████████████████████████████| 100%
In [193]:
# initialize H2O GBM
h2o_gbm_model = H2OGradientBoostingEstimator(
ntrees = 10000,
learn_rate = 0.005,
sample_rate = 0.1,
col_sample_rate = 0.8,
max_depth = 5,
nfolds = 3,
keep_cross_validation_predictions=True,
stopping_rounds = 10,
seed = 12345)
# execute training
h2o_gbm_model.train(x=encoded_combined_nums,
y='SalePrice',
training_frame=train,
validation_frame=valid)
# print model information/create submission
print(h2o_gbm_model)
h2o_gbm_preds1_val = h2o_gbm_model.predict(valid)
ranked_preds_plot('SalePrice', valid, h2o_gbm_preds1_val) # better validation error
h2o_gbm_preds1_test = h2o_gbm_model.predict(test)
gen_submission(h2o_gbm_preds1_test) # 0.15062 public leaderboard
gbm Model Build progress: |███████████████████████████████████████████████| 100%
Model Details
=============
H2OGradientBoostingEstimator : Gradient Boosting Machine
Model Key: GBM_model_python_1497530715156_41
ModelMetricsRegression: gbm
** Reported on train data. **
MSE: 0.006176434976609031
RMSE: 0.07859029823463601
MAE: 0.05301111489980966
RMSLE: 0.006099179628794482
Mean Residual Deviance: 0.006176434976609031
ModelMetricsRegression: gbm
** Reported on validation data. **
MSE: 0.017546665790746808
RMSE: 0.13246382823528394
MAE: 0.10119308547315771
RMSLE: 0.010243903760409427
Mean Residual Deviance: 0.017546665790746808
ModelMetricsRegression: gbm
** Reported on cross-validation data. **
MSE: 0.01645365655874634
RMSE: 0.12827180734185648
MAE: 0.08578849396442542
RMSLE: 0.009938680530110027
Mean Residual Deviance: 0.01645365655874634
Cross-Validation Metrics Summary:
mean
sd
cv_1_valid
cv_2_valid
cv_3_valid mae
0.0857441
0.0011121
0.0861861
0.0874109
0.0836352 mean_residual_deviance
0.0164479
0.0018601
0.0192577
0.0171547
0.0129314 mse
0.0164479
0.0018601
0.0192577
0.0171547
0.0129314 r2
0.8934627
0.0077844
0.8780353
0.90299
0.8993628 residual_deviance
0.0164479
0.0018601
0.0192577
0.0171547
0.0129314 rmse
0.1278214
0.0074029
0.1387720
0.1309758
0.1137164 rmsle
0.0098986
0.0006068
0.0107699
0.0101946
0.0087312
Scoring History:
timestamp
duration
number_of_trees
training_rmse
training_mae
training_deviance
validation_rmse
validation_mae
validation_deviance 2017-06-15 16:21:26
18 min 50.401 sec
0.0
0.3937891
0.3048737
0.1550698
0.4113848
0.3219006
0.1692374 2017-06-15 16:21:26
18 min 50.629 sec
1.0
0.3925006
0.3036122
0.1540567
0.4100106
0.3205841
0.1681087 2017-06-15 16:21:27
18 min 50.785 sec
2.0
0.3912234
0.3024207
0.1530558
0.4087253
0.3193950
0.1670564 2017-06-15 16:21:27
18 min 50.977 sec
3.0
0.3898574
0.3012256
0.1519888
0.4072898
0.3181570
0.1658849 2017-06-15 16:21:27
18 min 51.163 sec
4.0
0.3883409
0.2998284
0.1508087
0.4057679
0.3168080
0.1646476 ---
---
---
---
---
---
---
---
---
--- 2017-06-15 16:27:24
24 min 48.471 sec
2423.0
0.0795575
0.0536925
0.0063294
0.1324477
0.1012448
0.0175424 2017-06-15 16:27:28
24 min 52.499 sec
2452.0
0.0792686
0.0534924
0.0062835
0.1328942
0.1016985
0.0176609 2017-06-15 16:27:32
24 min 56.543 sec
2480.0
0.0790669
0.0533530
0.0062516
0.1324744
0.1012399
0.0175495 2017-06-15 16:27:36
25 min 0.691 sec
2510.0
0.0787727
0.0531997
0.0062051
0.1325743
0.1013174
0.0175759 2017-06-15 16:27:40
25 min 4.621 sec
2537.0
0.0785903
0.0530111
0.0061764
0.1324638
0.1011931
0.0175467
See the whole table with table.as_data_frame()
Variable Importances:
variable
relative_importance
scaled_importance
percentage Neighborhood_Tencode|OverallQual
3338.4831543
1.0
0.3173326 GrLivArea|Neighborhood_Tencode
1284.7108154
0.3848187
0.1221155 LotShape_Tencode|OverallQual
1223.4885254
0.3664804
0.1162962 GrLivArea|OverallQual
904.2254028
0.2708492
0.0859493 GrLivArea|KitchenQual_Tencode
526.5789185
0.1577300
0.0500529 ---
---
---
--- Utilities_Tencode|MiscFeature_Tencode
0.0
0.0
0.0 Utilities_Tencode|OverallQual
0.0
0.0
0.0 HalfBath|SaleType_Tencode
0.0
0.0
0.0 HalfBath|MiscFeature_Tencode
0.0
0.0
0.0 HalfBath|OverallQual
0.0
0.0
0.0
See the whole table with table.as_data_frame()
gbm prediction progress: |████████████████████████████████████████████████| 100%
SalePrice predict 11.8494 12.0243 12.2061 12.3046 11.6784 11.6736 11.7906 11.6473 11.9117 11.8533 11.9767 11.8995 11.8451 11.6644 11.1346 11.0265 11.914 11.7871 11.8845 11.8265
gbm prediction progress: |████████████████████████████████████████████████| 100%
In [194]:
# initialize XGB GBM
h2o_xgb_model = H2OXGBoostEstimator(
ntrees = 10000,
learn_rate = 0.005,
sample_rate = 0.1,
col_sample_rate = 0.8,
max_depth = 5,
nfolds = 3,
keep_cross_validation_predictions=True,
stopping_rounds = 10,
seed = 12345)
# execute training
h2o_xgb_model.train(x=encoded_combined_nums,
y='SalePrice',
training_frame=train,
validation_frame=valid)
# print model information/create submission
print(h2o_xgb_model)
h2o_xgb_preds1_val = h2o_xgb_model.predict(valid)
ranked_preds_plot('SalePrice', valid, h2o_xgb_preds1_val)
h2o_xgb_preds1_test = h2o_xgb_model.predict(test)
gen_submission(h2o_xgb_preds1_test) # 0.16494 on public leaderboard
xgboost Model Build progress: |███████████████████████████████████████████| 100%
Model Details
=============
H2OXGBoostEstimator : XGBoost
Model Key: XGBoost_model_python_1497530715156_42
ModelMetricsRegression: xgboost
** Reported on train data. **
MSE: 0.00840358868692754
RMSE: 0.09167108970077502
MAE: 0.05488036133788087
RMSLE: 0.007108057792476213
Mean Residual Deviance: 0.00840358868692754
ModelMetricsRegression: xgboost
** Reported on validation data. **
MSE: 0.020605834537669652
RMSE: 0.1435473250801618
MAE: 0.11459932348047726
RMSLE: 0.011121763109013057
Mean Residual Deviance: 0.020605834537669652
ModelMetricsRegression: xgboost
** Reported on cross-validation data. **
MSE: 0.017285036067784806
RMSE: 0.13147256773861538
MAE: 0.08792207052895834
RMSLE: 0.010168982730659084
Mean Residual Deviance: 0.017285036067784806
Cross-Validation Metrics Summary:
mean
sd
cv_1_valid
cv_2_valid
cv_3_valid mae
0.0878787
0.0007503
0.0866027
0.0892005
0.0878330 mean_residual_deviance
0.0172410
0.0015741
0.0185664
0.0190513
0.0141053 mse
0.0172410
0.0015741
0.0185664
0.0190513
0.0141053 r2
0.8883015
0.0030024
0.8824132
0.8922644
0.8902271 residual_deviance
0.0172410
0.0015741
0.0185664
0.0190513
0.0141053 rmse
0.131017
0.0061468
0.1362587
0.1380265
0.1187658 rmsle
0.0101289
0.0005164
0.0105763
0.0107113
0.0090990
Scoring History:
timestamp
duration
number_of_trees
training_rmse
training_mae
training_deviance
validation_rmse
validation_mae
validation_deviance 2017-06-15 17:05:02
5 min 50.591 sec
0.0
11.5392208
11.5324996
133.1536163
11.5129466
11.5056257
132.5479390 2017-06-15 17:05:02
5 min 51.417 sec
1.0
11.4819725
11.4752177
131.8356917
11.4557013
11.4483439
131.2330931 2017-06-15 17:05:02
5 min 51.437 sec
2.0
11.4252150
11.4184267
130.5355385
11.3989470
11.3915529
129.9359924 2017-06-15 17:05:02
5 min 51.458 sec
3.0
11.3688895
11.3620675
129.2516474
11.3426245
11.3351937
128.6551304 2017-06-15 17:05:02
5 min 51.479 sec
4.0
11.3125084
11.3056524
127.9728461
11.2862466
11.2787786
127.3793613 ---
---
---
---
---
---
---
---
---
--- 2017-06-15 17:07:07
7 min 56.013 sec
2934.0
0.0944030
0.0570718
0.0089119
0.1445220
0.1155929
0.0208866 2017-06-15 17:07:11
8 min 0.018 sec
3015.0
0.0937420
0.0564378
0.0087876
0.1443555
0.1155753
0.0208385 2017-06-15 17:07:15
8 min 4.046 sec
3096.0
0.0930069
0.0558811
0.0086503
0.1433480
0.1144898
0.0205486 2017-06-15 17:07:19
8 min 8.086 sec
3178.0
0.0923369
0.0553875
0.0085261
0.1432491
0.1143704
0.0205203 2017-06-15 17:07:23
8 min 12.098 sec
3260.0
0.0916711
0.0548804
0.0084036
0.1435473
0.1145993
0.0206058
See the whole table with table.as_data_frame()
Variable Importances:
variable
relative_importance
scaled_importance
percentage Neighborhood_Tencode|OverallCond
87.0
1.0
0.0055042 MSSubClass|LotArea
64.0
0.7356322
0.0040491 GrLivArea|OverallCond
58.0
0.6666667
0.0036695 GrLivArea|MoSold
55.0
0.6321839
0.0034797 LotArea|OverallCond
55.0
0.6321839
0.0034797 ---
---
---
--- GarageArea|GarageCars
1.0
0.0114943
0.0000633 KitchenAbvGr|OpenPorchSF
1.0
0.0114943
0.0000633 BsmtFullBath|HalfBath
1.0
0.0114943
0.0000633 KitchenAbvGr|2ndFlrSF
1.0
0.0114943
0.0000633 FireplaceQu_Tencode|RoofMatl_Tencode
1.0
0.0114943
0.0000633
See the whole table with table.as_data_frame()
xgboost prediction progress: |████████████████████████████████████████████| 100%
SalePrice predict 11.8494 11.977 12.2061 12.2466 11.6784 11.6435 11.7906 11.5821 11.9117 11.8348 11.9767 11.8584 11.8451 11.6547 11.1346 11.1257 11.914 11.7848 11.8845 11.8398
xgboost prediction progress: |████████████████████████████████████████████| 100%
In [196]:
# create XGBoost blend
pred_blender('../data',
['submission_Thu_Jun_15_15_58_31_2017.csv',
'submission_Thu_Jun_15_16_01_59_2017.csv',
'submission_Thu_Jun_15_16_27_42_2017.csv',
'submission_Thu_Jun_15_17_07_26_2017.csv'])
# 0.14705 on public leaderboard
Id SalePrice0 SalePrice1 SalePrice2 SalePrice3 \
0 1461 119081.074863 118567.449551 111874.076414 108450.225192
1 1462 150015.290818 144812.782606 152345.926941 147465.853860
2 1463 176503.892538 176940.325397 168826.171846 168720.909452
3 1464 185223.022830 185907.910302 185119.575064 177289.259208
4 1465 192687.508653 189991.207625 179623.201624 173343.132782
mean
0 114493.206505
1 148659.963557
2 172747.824808
3 183384.941851
4 183911.262671
In [195]:
stack = H2OStackedEnsembleEstimator(training_frame=train,
validation_frame=valid,
base_models=[rf_model1, ert_model1,
h2o_gbm_model])
stack.train(x=encoded_combined_nums,
y='SalePrice',
training_frame=train,
validation_frame=valid)
# print model information/create submission
print(stack)
stack_preds1_val = stack.predict(valid)
ranked_preds_plot('SalePrice', valid, stack_preds1_val)
stack_preds1_test = stack.predict(test)
gen_submission(stack_preds1_test)
# 0.14630 on public leaderboard
stackedensemble Model Build progress: |███████████████████████████████████| 100%
Model Details
=============
H2OStackedEnsembleEstimator : Stacked Ensemble
Model Key: StackedEnsemble_model_python_1497530715156_43
No model summary for this model
ModelMetricsRegressionGLM: stackedensemble
** Reported on train data. **
MSE: 0.0037195951897363083
RMSE: 0.06098848407475225
MAE: 0.04305787492087697
RMSLE: 0.004733690637851762
R^2: 0.9760134192704554
Mean Residual Deviance: 0.0037195951897363083
Null degrees of freedom: 1000
Residual degrees of freedom: 997
Null deviance: 155.22490791465145
Residual deviance: 3.7233147849260444
AIC: -2749.019633542589
ModelMetricsRegressionGLM: stackedensemble
** Reported on validation data. **
MSE: 0.016980254787969905
RMSE: 0.13030830667294355
MAE: 0.09925529488015572
RMSLE: 0.01009315309820752
R^2: 0.8992360780098589
Mean Residual Deviance: 0.016980254787969905
Null degrees of freedom: 458
Residual degrees of freedom: 455
Null deviance: 77.67997881888834
Residual deviance: 7.793936947678187
AIC: -558.1626052192096
stackedensemble prediction progress: |████████████████████████████████████| 100%
SalePrice predict 11.8494 12.0728 12.2061 12.3159 11.6784 11.6697 11.7906 11.6571 11.9117 11.8351 11.9767 11.8878 11.8451 11.6624 11.1346 11.0312 11.914 11.7651 11.8845 11.8257
stackedensemble prediction progress: |████████████████████████████████████| 100%
In [107]:
"""
ave_y = half_train['SalePrice'].mean()[0]
# XGBoost uses SVMLight data structure, not Numpy arrays or Pandas data frames
dtrain1 = xgb.DMatrix(train.as_data_frame()[encoded_combined_nums],
train.as_data_frame()['SalePrice'])
dvalid1 = xgb.DMatrix(valid.as_data_frame()[encoded_combined_nums],
valid.as_data_frame()['SalePrice'])
dtest = xgb.DMatrix(test.as_data_frame()[encoded_combined_nums])
# tuning parameters
params1 = {
'objective': 'reg:linear',
'booster': 'gbtree',
'eval_metric': 'rmse',
'eta': 0.005,
'subsample': 0.1,
'colsample_bytree': 0.8,
'max_depth': 5,
'reg_alpha' : 0.007,
'reg_lambda' : 0.0,
'base_score': ave_y,
'silent': 0,
'seed': 12345,
}
# watchlist is used for early stopping
watchlist = [(dtrain1, 'train'), (dvalid1, 'eval')]
# train model
xgb_model1 = xgb.train(params1,
dtrain1,
10000,
evals=watchlist,
early_stopping_rounds=50,
verbose_eval=True)
# create assessment stats and submission file
xgb_preds1_val = h2o.H2OFrame(xgb_model1.predict(dvalid1).tolist())
ranked_preds_plot('SalePrice', valid, xgb_preds1_val)
xgb_preds1_test = h2o.H2OFrame(xgb_model1.predict(dtest).tolist())
gen_submission(xgb_preds1_test)
"""
[0] train-rmse:0.394481 eval-rmse:0.386675
Multiple eval metrics have been passed: 'eval-rmse' will be used for early stopping.
Will train until eval-rmse hasn't improved in 50 rounds.
[1] train-rmse:0.392907 eval-rmse:0.385508
[2] train-rmse:0.391742 eval-rmse:0.384175
[3] train-rmse:0.390294 eval-rmse:0.382704
[4] train-rmse:0.388924 eval-rmse:0.381541
[5] train-rmse:0.387633 eval-rmse:0.380214
[6] train-rmse:0.386467 eval-rmse:0.379089
[7] train-rmse:0.385057 eval-rmse:0.377412
[8] train-rmse:0.383782 eval-rmse:0.376077
[9] train-rmse:0.382354 eval-rmse:0.374844
[10] train-rmse:0.381072 eval-rmse:0.373659
[11] train-rmse:0.379447 eval-rmse:0.372006
[12] train-rmse:0.377973 eval-rmse:0.370835
[13] train-rmse:0.376468 eval-rmse:0.369565
[14] train-rmse:0.374766 eval-rmse:0.368023
[15] train-rmse:0.373482 eval-rmse:0.366748
[16] train-rmse:0.372088 eval-rmse:0.365415
[17] train-rmse:0.370921 eval-rmse:0.364812
[18] train-rmse:0.369993 eval-rmse:0.364129
[19] train-rmse:0.36835 eval-rmse:0.362271
[20] train-rmse:0.367002 eval-rmse:0.361146
[21] train-rmse:0.365714 eval-rmse:0.359928
[22] train-rmse:0.364386 eval-rmse:0.358834
[23] train-rmse:0.363024 eval-rmse:0.357736
[24] train-rmse:0.361641 eval-rmse:0.356375
[25] train-rmse:0.360185 eval-rmse:0.354883
[26] train-rmse:0.358758 eval-rmse:0.353424
[27] train-rmse:0.357644 eval-rmse:0.35236
[28] train-rmse:0.3561 eval-rmse:0.350898
[29] train-rmse:0.354605 eval-rmse:0.349334
[30] train-rmse:0.353355 eval-rmse:0.348222
[31] train-rmse:0.351953 eval-rmse:0.347099
[32] train-rmse:0.350821 eval-rmse:0.34617
[33] train-rmse:0.349655 eval-rmse:0.345241
[34] train-rmse:0.34841 eval-rmse:0.34378
[35] train-rmse:0.347057 eval-rmse:0.3424
[36] train-rmse:0.345954 eval-rmse:0.341186
[37] train-rmse:0.344484 eval-rmse:0.339761
[38] train-rmse:0.343191 eval-rmse:0.338621
[39] train-rmse:0.341834 eval-rmse:0.337323
[40] train-rmse:0.340514 eval-rmse:0.336344
[41] train-rmse:0.339287 eval-rmse:0.335169
[42] train-rmse:0.338146 eval-rmse:0.334124
[43] train-rmse:0.337179 eval-rmse:0.332952
[44] train-rmse:0.335928 eval-rmse:0.331562
[45] train-rmse:0.334645 eval-rmse:0.330224
[46] train-rmse:0.333581 eval-rmse:0.329291
[47] train-rmse:0.332334 eval-rmse:0.328114
[48] train-rmse:0.3313 eval-rmse:0.327098
[49] train-rmse:0.330103 eval-rmse:0.325924
[50] train-rmse:0.329169 eval-rmse:0.324967
[51] train-rmse:0.327828 eval-rmse:0.323649
[52] train-rmse:0.326729 eval-rmse:0.322657
[53] train-rmse:0.325602 eval-rmse:0.321635
[54] train-rmse:0.324531 eval-rmse:0.320718
[55] train-rmse:0.323367 eval-rmse:0.319721
[56] train-rmse:0.32213 eval-rmse:0.318554
[57] train-rmse:0.321197 eval-rmse:0.317656
[58] train-rmse:0.320148 eval-rmse:0.316663
[59] train-rmse:0.318972 eval-rmse:0.315537
[60] train-rmse:0.317966 eval-rmse:0.314584
[61] train-rmse:0.317116 eval-rmse:0.313679
[62] train-rmse:0.316027 eval-rmse:0.312611
[63] train-rmse:0.315021 eval-rmse:0.31169
[64] train-rmse:0.314082 eval-rmse:0.310879
[65] train-rmse:0.312947 eval-rmse:0.309758
[66] train-rmse:0.312146 eval-rmse:0.309094
[67] train-rmse:0.310966 eval-rmse:0.308016
[68] train-rmse:0.309951 eval-rmse:0.307145
[69] train-rmse:0.308693 eval-rmse:0.306213
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[71] train-rmse:0.306661 eval-rmse:0.303947
[72] train-rmse:0.305579 eval-rmse:0.302887
[73] train-rmse:0.30454 eval-rmse:0.302028
[74] train-rmse:0.303384 eval-rmse:0.300886
[75] train-rmse:0.302557 eval-rmse:0.300095
[76] train-rmse:0.301678 eval-rmse:0.299309
[77] train-rmse:0.300654 eval-rmse:0.298313
[78] train-rmse:0.29969 eval-rmse:0.297333
[79] train-rmse:0.298653 eval-rmse:0.296232
[80] train-rmse:0.29771 eval-rmse:0.295339
[81] train-rmse:0.29677 eval-rmse:0.294592
[82] train-rmse:0.295788 eval-rmse:0.293556
[83] train-rmse:0.294856 eval-rmse:0.292755
[84] train-rmse:0.293827 eval-rmse:0.291844
[85] train-rmse:0.292828 eval-rmse:0.290974
[86] train-rmse:0.291856 eval-rmse:0.290023
[87] train-rmse:0.290942 eval-rmse:0.289289
[88] train-rmse:0.289931 eval-rmse:0.288403
[89] train-rmse:0.288876 eval-rmse:0.287558
[90] train-rmse:0.288038 eval-rmse:0.286839
[91] train-rmse:0.287023 eval-rmse:0.285803
[92] train-rmse:0.286174 eval-rmse:0.285082
[93] train-rmse:0.28521 eval-rmse:0.284306
[94] train-rmse:0.284174 eval-rmse:0.283435
[95] train-rmse:0.283309 eval-rmse:0.282843
[96] train-rmse:0.282311 eval-rmse:0.281995
[97] train-rmse:0.28136 eval-rmse:0.281121
[98] train-rmse:0.280641 eval-rmse:0.279872
[99] train-rmse:0.279617 eval-rmse:0.27891
[100] train-rmse:0.278514 eval-rmse:0.277978
[101] train-rmse:0.277729 eval-rmse:0.277252
[102] train-rmse:0.277085 eval-rmse:0.276726
[103] train-rmse:0.276109 eval-rmse:0.275851
[104] train-rmse:0.275228 eval-rmse:0.275101
[105] train-rmse:0.274252 eval-rmse:0.274194
[106] train-rmse:0.273419 eval-rmse:0.273546
[107] train-rmse:0.27278 eval-rmse:0.272938
[108] train-rmse:0.271689 eval-rmse:0.271799
[109] train-rmse:0.270753 eval-rmse:0.270933
[110] train-rmse:0.269808 eval-rmse:0.270018
[111] train-rmse:0.268751 eval-rmse:0.268814
[112] train-rmse:0.2679 eval-rmse:0.268106
[113] train-rmse:0.267224 eval-rmse:0.267608
[114] train-rmse:0.266638 eval-rmse:0.267288
[115] train-rmse:0.265662 eval-rmse:0.266006
[116] train-rmse:0.264807 eval-rmse:0.265085
[117] train-rmse:0.263956 eval-rmse:0.264114
[118] train-rmse:0.263285 eval-rmse:0.263777
[119] train-rmse:0.262444 eval-rmse:0.263158
[120] train-rmse:0.261842 eval-rmse:0.262426
[121] train-rmse:0.261068 eval-rmse:0.261821
[122] train-rmse:0.260404 eval-rmse:0.261211
[123] train-rmse:0.259732 eval-rmse:0.260533
[124] train-rmse:0.258933 eval-rmse:0.259943
[125] train-rmse:0.257944 eval-rmse:0.258987
[126] train-rmse:0.257288 eval-rmse:0.258446
[127] train-rmse:0.256666 eval-rmse:0.257901
[128] train-rmse:0.255969 eval-rmse:0.257132
[129] train-rmse:0.255062 eval-rmse:0.256245
[130] train-rmse:0.254296 eval-rmse:0.255642
[131] train-rmse:0.253697 eval-rmse:0.255297
[132] train-rmse:0.252992 eval-rmse:0.254598
[133] train-rmse:0.252244 eval-rmse:0.25383
[134] train-rmse:0.251445 eval-rmse:0.253113
[135] train-rmse:0.250598 eval-rmse:0.252351
[136] train-rmse:0.249889 eval-rmse:0.251718
[137] train-rmse:0.249237 eval-rmse:0.251024
[138] train-rmse:0.248384 eval-rmse:0.2502
[139] train-rmse:0.247657 eval-rmse:0.249506
[140] train-rmse:0.246924 eval-rmse:0.248873
[141] train-rmse:0.24613 eval-rmse:0.24819
[142] train-rmse:0.24543 eval-rmse:0.24754
[143] train-rmse:0.244576 eval-rmse:0.246903
[144] train-rmse:0.243904 eval-rmse:0.246201
[145] train-rmse:0.243302 eval-rmse:0.245704
[146] train-rmse:0.242711 eval-rmse:0.245259
[147] train-rmse:0.241985 eval-rmse:0.244758
[148] train-rmse:0.241176 eval-rmse:0.243974
[149] train-rmse:0.240489 eval-rmse:0.243233
[150] train-rmse:0.239991 eval-rmse:0.242703
[151] train-rmse:0.239281 eval-rmse:0.241943
[152] train-rmse:0.238588 eval-rmse:0.241358
[153] train-rmse:0.237822 eval-rmse:0.240559
[154] train-rmse:0.236981 eval-rmse:0.239921
[155] train-rmse:0.236364 eval-rmse:0.239298
[156] train-rmse:0.235579 eval-rmse:0.238473
[157] train-rmse:0.234594 eval-rmse:0.23756
[158] train-rmse:0.233983 eval-rmse:0.237068
[159] train-rmse:0.233418 eval-rmse:0.236585
[160] train-rmse:0.232673 eval-rmse:0.235971
[161] train-rmse:0.23201 eval-rmse:0.235364
[162] train-rmse:0.231192 eval-rmse:0.234618
[163] train-rmse:0.230762 eval-rmse:0.234389
[164] train-rmse:0.230095 eval-rmse:0.233727
[165] train-rmse:0.229522 eval-rmse:0.233286
[166] train-rmse:0.228767 eval-rmse:0.232476
[167] train-rmse:0.228206 eval-rmse:0.231826
[168] train-rmse:0.227761 eval-rmse:0.231384
[169] train-rmse:0.227161 eval-rmse:0.230829
[170] train-rmse:0.226492 eval-rmse:0.230101
[171] train-rmse:0.225764 eval-rmse:0.229369
[172] train-rmse:0.225242 eval-rmse:0.229163
[173] train-rmse:0.224389 eval-rmse:0.228337
[174] train-rmse:0.223694 eval-rmse:0.227707
[175] train-rmse:0.223284 eval-rmse:0.227453
[176] train-rmse:0.222745 eval-rmse:0.22701
[177] train-rmse:0.222067 eval-rmse:0.226363
[178] train-rmse:0.221403 eval-rmse:0.22577
[179] train-rmse:0.22079 eval-rmse:0.22522
[180] train-rmse:0.220261 eval-rmse:0.224891
[181] train-rmse:0.219611 eval-rmse:0.224217
[182] train-rmse:0.218869 eval-rmse:0.223282
[183] train-rmse:0.218293 eval-rmse:0.222731
[184] train-rmse:0.217692 eval-rmse:0.222241
[185] train-rmse:0.217051 eval-rmse:0.221572
[186] train-rmse:0.216656 eval-rmse:0.221219
[187] train-rmse:0.215919 eval-rmse:0.22053
[188] train-rmse:0.215219 eval-rmse:0.219859
[189] train-rmse:0.2146 eval-rmse:0.21931
[190] train-rmse:0.214007 eval-rmse:0.218876
[191] train-rmse:0.2135 eval-rmse:0.218387
[192] train-rmse:0.212812 eval-rmse:0.217761
[193] train-rmse:0.212145 eval-rmse:0.217161
[194] train-rmse:0.211639 eval-rmse:0.216655
[195] train-rmse:0.21104 eval-rmse:0.216083
[196] train-rmse:0.210304 eval-rmse:0.215584
[197] train-rmse:0.2095 eval-rmse:0.214969
[198] train-rmse:0.208902 eval-rmse:0.214352
[199] train-rmse:0.208245 eval-rmse:0.213788
[200] train-rmse:0.207601 eval-rmse:0.213234
[201] train-rmse:0.207219 eval-rmse:0.212918
[202] train-rmse:0.206697 eval-rmse:0.213126
[203] train-rmse:0.205964 eval-rmse:0.212401
[204] train-rmse:0.205391 eval-rmse:0.211967
[205] train-rmse:0.204886 eval-rmse:0.211686
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[212] train-rmse:0.200972 eval-rmse:0.208218
[213] train-rmse:0.200571 eval-rmse:0.207886
[214] train-rmse:0.199984 eval-rmse:0.207263
[215] train-rmse:0.199415 eval-rmse:0.206828
[216] train-rmse:0.198832 eval-rmse:0.206183
[217] train-rmse:0.198166 eval-rmse:0.205559
[218] train-rmse:0.197734 eval-rmse:0.205127
[219] train-rmse:0.197314 eval-rmse:0.204675
[220] train-rmse:0.196808 eval-rmse:0.204207
[221] train-rmse:0.196255 eval-rmse:0.203911
[222] train-rmse:0.19563 eval-rmse:0.204065
[223] train-rmse:0.195141 eval-rmse:0.203558
[224] train-rmse:0.194392 eval-rmse:0.202828
[225] train-rmse:0.194008 eval-rmse:0.202405
[226] train-rmse:0.193534 eval-rmse:0.201922
[227] train-rmse:0.193002 eval-rmse:0.201499
[228] train-rmse:0.192568 eval-rmse:0.201082
[229] train-rmse:0.192141 eval-rmse:0.200722
[230] train-rmse:0.191581 eval-rmse:0.200278
[231] train-rmse:0.191023 eval-rmse:0.199795
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[235] train-rmse:0.189134 eval-rmse:0.197919
[236] train-rmse:0.188646 eval-rmse:0.197486
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[239] train-rmse:0.187098 eval-rmse:0.196511
[240] train-rmse:0.186806 eval-rmse:0.196237
[241] train-rmse:0.186088 eval-rmse:0.195657
[242] train-rmse:0.185737 eval-rmse:0.19532
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[246] train-rmse:0.184093 eval-rmse:0.194016
[247] train-rmse:0.183593 eval-rmse:0.193575
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[920] train-rmse:0.092158 eval-rmse:0.133724
[921] train-rmse:0.092126 eval-rmse:0.133692
[922] train-rmse:0.092091 eval-rmse:0.133731
[923] train-rmse:0.092062 eval-rmse:0.133759
[924] train-rmse:0.09205 eval-rmse:0.133729
[925] train-rmse:0.09201 eval-rmse:0.133655
[926] train-rmse:0.091933 eval-rmse:0.134092
[927] train-rmse:0.091916 eval-rmse:0.134102
[928] train-rmse:0.091855 eval-rmse:0.134116
[929] train-rmse:0.091841 eval-rmse:0.134129
[930] train-rmse:0.091864 eval-rmse:0.134121
[931] train-rmse:0.091828 eval-rmse:0.134086
[932] train-rmse:0.09182 eval-rmse:0.134023
[933] train-rmse:0.091761 eval-rmse:0.134145
[934] train-rmse:0.091675 eval-rmse:0.134195
[935] train-rmse:0.091597 eval-rmse:0.134165
[936] train-rmse:0.091546 eval-rmse:0.134134
[937] train-rmse:0.09152 eval-rmse:0.134083
[938] train-rmse:0.091472 eval-rmse:0.134054
[939] train-rmse:0.091415 eval-rmse:0.134067
[940] train-rmse:0.091421 eval-rmse:0.133911
[941] train-rmse:0.091361 eval-rmse:0.133942
[942] train-rmse:0.091337 eval-rmse:0.133884
[943] train-rmse:0.0913 eval-rmse:0.133951
[944] train-rmse:0.091273 eval-rmse:0.133934
[945] train-rmse:0.091265 eval-rmse:0.133824
[946] train-rmse:0.091236 eval-rmse:0.133816
[947] train-rmse:0.091171 eval-rmse:0.133836
[948] train-rmse:0.091144 eval-rmse:0.134054
[949] train-rmse:0.091082 eval-rmse:0.13401
[950] train-rmse:0.091027 eval-rmse:0.133977
[951] train-rmse:0.090986 eval-rmse:0.134029
[952] train-rmse:0.090951 eval-rmse:0.13402
[953] train-rmse:0.090914 eval-rmse:0.134031
[954] train-rmse:0.090879 eval-rmse:0.134017
[955] train-rmse:0.090839 eval-rmse:0.133978
[956] train-rmse:0.090821 eval-rmse:0.133976
[957] train-rmse:0.090779 eval-rmse:0.134107
[958] train-rmse:0.090777 eval-rmse:0.134045
[959] train-rmse:0.090765 eval-rmse:0.134028
[960] train-rmse:0.090713 eval-rmse:0.134063
[961] train-rmse:0.090692 eval-rmse:0.134127
[962] train-rmse:0.090589 eval-rmse:0.134433
[963] train-rmse:0.090581 eval-rmse:0.134354
[964] train-rmse:0.090567 eval-rmse:0.134256
[965] train-rmse:0.090565 eval-rmse:0.134323
[966] train-rmse:0.090565 eval-rmse:0.134318
[967] train-rmse:0.090536 eval-rmse:0.134438
[968] train-rmse:0.090517 eval-rmse:0.134314
[969] train-rmse:0.090491 eval-rmse:0.134259
[970] train-rmse:0.090439 eval-rmse:0.134407
[971] train-rmse:0.09042 eval-rmse:0.134423
[972] train-rmse:0.090343 eval-rmse:0.13462
[973] train-rmse:0.090285 eval-rmse:0.134816
[974] train-rmse:0.090246 eval-rmse:0.134892
[975] train-rmse:0.090211 eval-rmse:0.134909
Stopping. Best iteration:
[925] train-rmse:0.09201 eval-rmse:0.133655
Parse progress: |█████████████████████████████████████████████████████████| 100%
SalePrice predict 11.8494 12.062 12.2061 12.306 11.6784 11.6806 11.914 11.7686 12.6758 12.487 12.861 12.5802 12.1035 11.9194 11.2898 11.4222 11.7714 11.6392 11.5843 11.6461
Parse progress: |█████████████████████████████████████████████████████████| 100%
In [122]:
# Shutdown H2O - this will erase all your unsaved frames and models in H2O
h2o.cluster().shutdown(prompt=True)
Are you sure you want to shutdown the H2O instance running at http://localhost:54321 (Y/N)? y
H2O session _sid_942e closed.
Content source: jphall663/GWU_data_mining
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