Manufacturing Defects Synthetic Data
====================================

In this notebook we generate some data that will represent measurements
of defects in a manufacturing setting.

.. code:: ipython3

    import numpy as np
    import pandas as pd

.. code:: ipython3

    #generate synthetic data
    Factors = []
    Outcome = []
    numpoints = 2000
    for workday, time_per_task  in zip(np.random.normal(loc=.3, scale=.05, size=numpoints), np.random.normal(loc=.05, scale=.01, size=numpoints)):
        Factors.append([workday, time_per_task])
        Outcome.append( 0*workday**2/(time_per_task**2) + 1/time_per_task**1.5 + 1000*workday**1.5)

.. code:: ipython3

    data = pd.DataFrame(Factors, columns=['Workday', 'Time per Task'])
    data['Defect Rate'] = Outcome
    data['Defect Rate']/= data['Defect Rate'].max()*10
    data['Defect Rate'] += np.random.normal(scale=.003, size=len(data['Defect Rate']))
    data.head()




.. raw:: html

    <div>
    <style scoped>
        .dataframe tbody tr th:only-of-type {
            vertical-align: middle;
        }
    
        .dataframe tbody tr th {
            vertical-align: top;
        }
    
        .dataframe thead th {
            text-align: right;
        }
    </style>
    <table border="1" class="dataframe">
      <thead>
        <tr style="text-align: right;">
          <th></th>
          <th>Workday</th>
          <th>Time per Task</th>
          <th>Defect Rate</th>
        </tr>
      </thead>
      <tbody>
        <tr>
          <th>0</th>
          <td>0.303114</td>
          <td>0.060810</td>
          <td>0.023022</td>
        </tr>
        <tr>
          <th>1</th>
          <td>0.263133</td>
          <td>0.052325</td>
          <td>0.023017</td>
        </tr>
        <tr>
          <th>2</th>
          <td>0.230397</td>
          <td>0.065387</td>
          <td>0.015868</td>
        </tr>
        <tr>
          <th>3</th>
          <td>0.265632</td>
          <td>0.044866</td>
          <td>0.032806</td>
        </tr>
        <tr>
          <th>4</th>
          <td>0.298651</td>
          <td>0.038648</td>
          <td>0.035234</td>
        </tr>
      </tbody>
    </table>
    </div>



.. code:: ipython3

    data.to_csv('Manufacturing_Defects_Synthetic_Data.csv')