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pythonpandasdataframegroup-bylinear-regression

Python pandas linear regression groupby


I am trying to use a linear regression on a group by pandas python dataframe:

This is the dataframe df:

  group      date      value
    A     01-02-2016     16 
    A     01-03-2016     15 
    A     01-04-2016     14 
    A     01-05-2016     17 
    A     01-06-2016     19 
    A     01-07-2016     20 
    B     01-02-2016     16 
    B     01-03-2016     13 
    B     01-04-2016     13 
    C     01-02-2016     16 
    C     01-03-2016     16 

#import standard packages
import pandas as pd
import numpy as np

#import ML packages
from sklearn.linear_model import LinearRegression

#First, let's group the data by group
df_group = df.groupby('group')

#Then, we need to change the date to integer
df['date'] = pd.to_datetime(df['date'])  
df['date_delta'] = (df['date'] - df['date'].min())  / np.timedelta64(1,'D')

Now I want to predict the value for each group for 01-10-2016.

I want to get to a new dataframe like this:

group      01-10-2016
  A      predicted value
  B      predicted value
  C      predicted value

This How to apply OLS from statsmodels to groupby doesn't work

for group in df_group.groups.keys():
      df= df_group.get_group(group)
      X = df['date_delta'] 
      y = df['value']
      model = LinearRegression(y, X)
      results = model.fit(X, y)
      print results.summary()

I get the following error

ValueError: Found arrays with inconsistent numbers of samples: [ 1 52]

DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and   willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.DeprecationWarning)

UPDATE:

I changed it to

for group in df_group.groups.keys():
      df= df_group.get_group(group)
      X = df[['date_delta']]
      y = df.value
      model = LinearRegression(y, X)
      results = model.fit(X, y)
      print results.summary()

and now I get this error:

ValueError: The truth value of a Series is ambiguous. Use a.empty, a.bool(), a.item(), a.any() or a.all().

Solution

  • New Answer

    def model(df, delta):
        y = df[['value']].values
        X = df[['date_delta']].values
        return np.squeeze(LinearRegression().fit(X, y).predict(delta))
    
    def group_predictions(df, date):
        date = pd.to_datetime(date)
        df.date = pd.to_datetime(df.date)
    
        day = np.timedelta64(1, 'D')
        mn = df.date.min()
        df['date_delta'] = df.date.sub(mn).div(day)
    
        dd = (date - mn) / day
    
        return df.groupby('group').apply(model, delta=dd)
    

    demo

    group_predictions(df, '01-10-2016')
    
    group
    A    22.333333333333332
    B     3.500000000000007
    C                  16.0
    dtype: object
    

    Old Answer

    You're using LinearRegression wrong.

    • you don't call it with the data and fit with the data. Just call the class like this
      • model = LinearRegression()
    • then fit with
      • model.fit(X, y)

    But all that does is set value in the object stored in model There is no nice summary method. There probably is one somewhere, but I know the one in statsmodels soooo, see below


    option 1
    use statsmodels instead

    from statsmodels.formula.api import ols
    
    for k, g in df_group:
        model = ols('value ~ date_delta', g)
        results = model.fit()
        print(results.summary())
    

                            OLS Regression Results                            
    ==============================================================================
    Dep. Variable:                  value   R-squared:                       0.652
    Model:                            OLS   Adj. R-squared:                  0.565
    Method:                 Least Squares   F-statistic:                     7.500
    Date:                Fri, 06 Jan 2017   Prob (F-statistic):             0.0520
    Time:                        10:48:17   Log-Likelihood:                -9.8391
    No. Observations:                   6   AIC:                             23.68
    Df Residuals:                       4   BIC:                             23.26
    Df Model:                           1                                         
    Covariance Type:            nonrobust                                         
    ==============================================================================
                     coef    std err          t      P>|t|      [95.0% Conf. Int.]
    ------------------------------------------------------------------------------
    Intercept     14.3333      1.106     12.965      0.000        11.264    17.403
    date_delta     1.0000      0.365      2.739      0.052        -0.014     2.014
    ==============================================================================
    Omnibus:                          nan   Durbin-Watson:                   1.393
    Prob(Omnibus):                    nan   Jarque-Bera (JB):                0.461
    Skew:                          -0.649   Prob(JB):                        0.794
    Kurtosis:                       2.602   Cond. No.                         5.78
    ==============================================================================
    
    Warnings:
    [1] Standard Errors assume that the covariance matrix of the errors is correctly specified.
                                OLS Regression Results                            
    ==============================================================================
    Dep. Variable:                  value   R-squared:                       0.750
    Model:                            OLS   Adj. R-squared:                  0.500
    Method:                 Least Squares   F-statistic:                     3.000
    Date:                Fri, 06 Jan 2017   Prob (F-statistic):              0.333
    Time:                        10:48:17   Log-Likelihood:                -3.2171
    No. Observations:                   3   AIC:                             10.43
    Df Residuals:                       1   BIC:                             8.631
    Df Model:                           1                                         
    Covariance Type:            nonrobust                                         
    ==============================================================================
                     coef    std err          t      P>|t|      [95.0% Conf. Int.]
    ------------------------------------------------------------------------------
    Intercept     15.5000      1.118     13.864      0.046         1.294    29.706
    date_delta    -1.5000      0.866     -1.732      0.333       -12.504     9.504
    ==============================================================================
    Omnibus:                          nan   Durbin-Watson:                   3.000
    Prob(Omnibus):                    nan   Jarque-Bera (JB):                0.531
    Skew:                          -0.707   Prob(JB):                        0.767
    Kurtosis:                       1.500   Cond. No.                         2.92
    ==============================================================================
    
    Warnings:
    [1] Standard Errors assume that the covariance matrix of the errors is correctly specified.
                                OLS Regression Results                            
    ==============================================================================
    Dep. Variable:                  value   R-squared:                        -inf
    Model:                            OLS   Adj. R-squared:                   -inf
    Method:                 Least Squares   F-statistic:                    -0.000
    Date:                Fri, 06 Jan 2017   Prob (F-statistic):                nan
    Time:                        10:48:17   Log-Likelihood:                 63.481
    No. Observations:                   2   AIC:                            -123.0
    Df Residuals:                       0   BIC:                            -125.6
    Df Model:                           1                                         
    Covariance Type:            nonrobust                                         
    ==============================================================================
                     coef    std err          t      P>|t|      [95.0% Conf. Int.]
    ------------------------------------------------------------------------------
    Intercept     16.0000        inf          0        nan           nan       nan
    date_delta -3.553e-15        inf         -0        nan           nan       nan
    ==============================================================================
    Omnibus:                          nan   Durbin-Watson:                   0.400
    Prob(Omnibus):                    nan   Jarque-Bera (JB):                0.333
    Skew:                           0.000   Prob(JB):                        0.846
    Kurtosis:                       1.000   Cond. No.                         2.62
    ==============================================================================