scikit-learn: how to scale back the 'y' predicted result

Question

I'm trying to learn scikit-learn and Machine Learning by using the Boston Housing Data Set.

# I splitted the initial dataset ('housing_X' and 'housing_y')
from sklearn.cross_validation import train_test_split
X_train, X_test, y_train, y_test = train_test_split(housing_X, housing_y, test_size=0.25, random_state=33)

# I scaled those two datasets
from sklearn.preprocessing import StandardScaler
scalerX = StandardScaler().fit(X_train)
scalery = StandardScaler().fit(y_train)
X_train = scalerX.transform(X_train)
y_train = scalery.transform(y_train)
X_test = scalerX.transform(X_test)
y_test = scalery.transform(y_test)

# I created the model
from sklearn import linear_model
clf_sgd = linear_model.SGDRegressor(loss='squared_loss', penalty=None, random_state=42) 
train_and_evaluate(clf_sgd,X_train,y_train)

Based on this new model clf_sgd, I am trying to predict the y based on the first instance of X_train.

X_new_scaled = X_train[0]
print (X_new_scaled)
y_new = clf_sgd.predict(X_new_scaled)
print (y_new)

However, the result is quite odd for me (1.34032174, instead of 20-30, the range of the price of the houses)

[-0.32076092  0.35553428 -1.00966618 -0.28784917  0.87716097  1.28834383
  0.4759489  -0.83034371 -0.47659648 -0.81061061 -2.49222645  0.35062335
 -0.39859013]
[ 1.34032174]

I guess that this 1.34032174 value should be scaled back, but I am trying to figure out how to do it with no success. Any tip is welcome. Thank you very much.

Answer 1

You can use inverse_transform using your scalery object:

y_new_inverse = scalery.inverse_transform(y_new)