Cannot find the degree that fits my polynomial regression model in sklearn












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I have a polynomial features function that I want to give a degree of (1/2) or 0.5, because the data set used is a downward plateau with a degree of at most (1/2), however the predictions produced are all the same and the r-squared mean is -23736.436220427375. When the degree is changed to 2 and onward the predictions increase as the X values get past the mid-point, resulting in a parabola, where as the data is not a parabola.



import pandas as pd
import numpy as np
from sklearn.linear_model import LinearRegression
from sklearn.preprocessing import PolynomialFeatures


df = pd.read_csv('infantmortality.csv',sep=',')
x = df['Year']
y = df['Infant Mortality Rate']

x_Train = np.array(x[96:150]).reshape(-1, 1)
y_Train = y[96:150]
x_Test = np.array(x[150:193]).reshape(-1, 1)
y_Test = x[150:193]

poly = PolynomialFeatures(degree=int(2))
X_ = poly.fit_transform(x_Train)
x_test_ = poly.fit_transform(x_Test)

lg = LinearRegression(fit_intercept=False, normalize=True)
lg.fit(X_, y_Train)

score = lg.score(x_test_, y_Test)
val = [2005]
val_ = poly.fit_transform(np.array(val).reshape(-1, 1))
print lg.predict(val_)









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    I have a polynomial features function that I want to give a degree of (1/2) or 0.5, because the data set used is a downward plateau with a degree of at most (1/2), however the predictions produced are all the same and the r-squared mean is -23736.436220427375. When the degree is changed to 2 and onward the predictions increase as the X values get past the mid-point, resulting in a parabola, where as the data is not a parabola.



    import pandas as pd
    import numpy as np
    from sklearn.linear_model import LinearRegression
    from sklearn.preprocessing import PolynomialFeatures


    df = pd.read_csv('infantmortality.csv',sep=',')
    x = df['Year']
    y = df['Infant Mortality Rate']

    x_Train = np.array(x[96:150]).reshape(-1, 1)
    y_Train = y[96:150]
    x_Test = np.array(x[150:193]).reshape(-1, 1)
    y_Test = x[150:193]

    poly = PolynomialFeatures(degree=int(2))
    X_ = poly.fit_transform(x_Train)
    x_test_ = poly.fit_transform(x_Test)

    lg = LinearRegression(fit_intercept=False, normalize=True)
    lg.fit(X_, y_Train)

    score = lg.score(x_test_, y_Test)
    val = [2005]
    val_ = poly.fit_transform(np.array(val).reshape(-1, 1))
    print lg.predict(val_)









    share|improve this question

























      0












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      0








      I have a polynomial features function that I want to give a degree of (1/2) or 0.5, because the data set used is a downward plateau with a degree of at most (1/2), however the predictions produced are all the same and the r-squared mean is -23736.436220427375. When the degree is changed to 2 and onward the predictions increase as the X values get past the mid-point, resulting in a parabola, where as the data is not a parabola.



      import pandas as pd
      import numpy as np
      from sklearn.linear_model import LinearRegression
      from sklearn.preprocessing import PolynomialFeatures


      df = pd.read_csv('infantmortality.csv',sep=',')
      x = df['Year']
      y = df['Infant Mortality Rate']

      x_Train = np.array(x[96:150]).reshape(-1, 1)
      y_Train = y[96:150]
      x_Test = np.array(x[150:193]).reshape(-1, 1)
      y_Test = x[150:193]

      poly = PolynomialFeatures(degree=int(2))
      X_ = poly.fit_transform(x_Train)
      x_test_ = poly.fit_transform(x_Test)

      lg = LinearRegression(fit_intercept=False, normalize=True)
      lg.fit(X_, y_Train)

      score = lg.score(x_test_, y_Test)
      val = [2005]
      val_ = poly.fit_transform(np.array(val).reshape(-1, 1))
      print lg.predict(val_)









      share|improve this question














      I have a polynomial features function that I want to give a degree of (1/2) or 0.5, because the data set used is a downward plateau with a degree of at most (1/2), however the predictions produced are all the same and the r-squared mean is -23736.436220427375. When the degree is changed to 2 and onward the predictions increase as the X values get past the mid-point, resulting in a parabola, where as the data is not a parabola.



      import pandas as pd
      import numpy as np
      from sklearn.linear_model import LinearRegression
      from sklearn.preprocessing import PolynomialFeatures


      df = pd.read_csv('infantmortality.csv',sep=',')
      x = df['Year']
      y = df['Infant Mortality Rate']

      x_Train = np.array(x[96:150]).reshape(-1, 1)
      y_Train = y[96:150]
      x_Test = np.array(x[150:193]).reshape(-1, 1)
      y_Test = x[150:193]

      poly = PolynomialFeatures(degree=int(2))
      X_ = poly.fit_transform(x_Train)
      x_test_ = poly.fit_transform(x_Test)

      lg = LinearRegression(fit_intercept=False, normalize=True)
      lg.fit(X_, y_Train)

      score = lg.score(x_test_, y_Test)
      val = [2005]
      val_ = poly.fit_transform(np.array(val).reshape(-1, 1))
      print lg.predict(val_)






      python scikit-learn regression non-linear-regression






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      asked Nov 15 '18 at 23:48









      Teriq StrachanTeriq Strachan

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