How to extrapolate one curve from others?



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I have following plot where you can see 5 lines for different values of paramater p (3%, 5%, 7%, 9%, 11%). And I also have a linear approximation for every line as you can see.



I can't quite wrap my head around on how to predict a graph for different values of parameter p using interpolation and extrapolation methods.



For example, I need to predict graph for p = 1%, 6%, 15%



enter image description here



def linear_approximation(df, name , start=1, finish=20):
df_res = pd.DataFrame(df)
df_res['Linear'] = df[name]
linear_coeff = np.polyfit(np.arange(start, finish+1),df.loc[start:finish, name], 1)
linear_coeff = np.poly1d(linear_coeff)
df_res.loc[start:finish, 'Linear'] = linear_coeff(np.arange(start, finish+1))
return df_res

df_linear = res['data']

plt.figure(figsize=(15, 9))

for counter in ['1','2','3','4','5']:
df_linear[counter].plot(grid=True, linestyle = '--', lw = 4)
linear_approximation(df_linear,counter, 10, 80)['Linear'].plot(grid=True, color = 'Gray', linestyle = '-', lw = 4)

plt.legend(loc='center left',bbox_to_anchor=(1, 0.5), fontsize = '17')









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    0















    I have following plot where you can see 5 lines for different values of paramater p (3%, 5%, 7%, 9%, 11%). And I also have a linear approximation for every line as you can see.



    I can't quite wrap my head around on how to predict a graph for different values of parameter p using interpolation and extrapolation methods.



    For example, I need to predict graph for p = 1%, 6%, 15%



    enter image description here



    def linear_approximation(df, name , start=1, finish=20):
    df_res = pd.DataFrame(df)
    df_res['Linear'] = df[name]
    linear_coeff = np.polyfit(np.arange(start, finish+1),df.loc[start:finish, name], 1)
    linear_coeff = np.poly1d(linear_coeff)
    df_res.loc[start:finish, 'Linear'] = linear_coeff(np.arange(start, finish+1))
    return df_res

    df_linear = res['data']

    plt.figure(figsize=(15, 9))

    for counter in ['1','2','3','4','5']:
    df_linear[counter].plot(grid=True, linestyle = '--', lw = 4)
    linear_approximation(df_linear,counter, 10, 80)['Linear'].plot(grid=True, color = 'Gray', linestyle = '-', lw = 4)

    plt.legend(loc='center left',bbox_to_anchor=(1, 0.5), fontsize = '17')









    share|improve this question
























      0












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      0








      I have following plot where you can see 5 lines for different values of paramater p (3%, 5%, 7%, 9%, 11%). And I also have a linear approximation for every line as you can see.



      I can't quite wrap my head around on how to predict a graph for different values of parameter p using interpolation and extrapolation methods.



      For example, I need to predict graph for p = 1%, 6%, 15%



      enter image description here



      def linear_approximation(df, name , start=1, finish=20):
      df_res = pd.DataFrame(df)
      df_res['Linear'] = df[name]
      linear_coeff = np.polyfit(np.arange(start, finish+1),df.loc[start:finish, name], 1)
      linear_coeff = np.poly1d(linear_coeff)
      df_res.loc[start:finish, 'Linear'] = linear_coeff(np.arange(start, finish+1))
      return df_res

      df_linear = res['data']

      plt.figure(figsize=(15, 9))

      for counter in ['1','2','3','4','5']:
      df_linear[counter].plot(grid=True, linestyle = '--', lw = 4)
      linear_approximation(df_linear,counter, 10, 80)['Linear'].plot(grid=True, color = 'Gray', linestyle = '-', lw = 4)

      plt.legend(loc='center left',bbox_to_anchor=(1, 0.5), fontsize = '17')









      share|improve this question














      I have following plot where you can see 5 lines for different values of paramater p (3%, 5%, 7%, 9%, 11%). And I also have a linear approximation for every line as you can see.



      I can't quite wrap my head around on how to predict a graph for different values of parameter p using interpolation and extrapolation methods.



      For example, I need to predict graph for p = 1%, 6%, 15%



      enter image description here



      def linear_approximation(df, name , start=1, finish=20):
      df_res = pd.DataFrame(df)
      df_res['Linear'] = df[name]
      linear_coeff = np.polyfit(np.arange(start, finish+1),df.loc[start:finish, name], 1)
      linear_coeff = np.poly1d(linear_coeff)
      df_res.loc[start:finish, 'Linear'] = linear_coeff(np.arange(start, finish+1))
      return df_res

      df_linear = res['data']

      plt.figure(figsize=(15, 9))

      for counter in ['1','2','3','4','5']:
      df_linear[counter].plot(grid=True, linestyle = '--', lw = 4)
      linear_approximation(df_linear,counter, 10, 80)['Linear'].plot(grid=True, color = 'Gray', linestyle = '-', lw = 4)

      plt.legend(loc='center left',bbox_to_anchor=(1, 0.5), fontsize = '17')






      python interpolation extrapolation






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      asked Nov 15 '18 at 8:59









      Lust_For_LoveLust_For_Love

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