Einführung

Willkommen bei "Komm' wir spielen NSA!"!

Dieses Notebook ist eine kleine Einführung in die Data Science Welt mit Python, dem Notebook-System Jupyter, dem Datenanalyse-Framework Pandas, der Visualisierungsbibliothek "matplotlib" und der Machine-Learning-Bibliothek "scikit-learn".

Die Aufgabe ist, aus dem Mitschnitt von Telefon-Metadaten herauszufinden, wo die von uns verdächtigte Person namens "John Doe" wohnt. Ganz nebenbei lernen wir die wichtigsten Dinge im Umgang mit Python & Co. .

Das Notebook erklärt hierzu immer die Funktionsweisen und die Aufgaben der notwendigen Analyseschritte.

Importieren von Bibliotheken

Als erstes wollen wir über den in Python üblichen Weg das Modul "Pandas" einbinden.

Generell können sog. Module auf mehrere Arten eingebunden werden:

  • Einfaches Einbinden mittels import <modul>, z. B. import pandas
  • Einbinden mit separatem Namen mittels import <modul> as <name>, z. B. import pandas as pd
  • Einbinden eines Untermoduls mittels from <hauptmodul> import <modul>, z. B. from matplotlib import pyplot

Wir möchten gerne das Modul "Pandas" als pd einbinden. Die Zelle können wir dann mit dem Tastenkürzel Shift + Enter ausführen.


In [1]:
import pandas as pd

Interaktive Hilfe

Ob das Importieren des Moduls auch wirklich funktioniert hat, können wir prüfen, in dem wir mit dem pd-Modul arbeiten. Dazu hängen wir an die pd-Variable den ? Operator an und führen die Zelle aus. Es erscheint die Dokumentation des Moduls im unteren Bereich des Notebooks. Diesen Bereich können wir durchlesen und mit der Taste ESC auch wieder verschwinden lassen.


In [2]:
pd?

Die weitere Funktionalität der Pandas-Bibliothek können wir erkunden, indem wir die Methoden von Pandas ansehen. Dazu verwenden wir pd. und nutzen die integrierte Autovervollständigung von Jupyter mittels der Tabulatortaste Tab, um zu sehen, welche Methoden uns Pandas bietet. Gehen wir dann mit der Pfeiltaste unten z. B. auf Categorical, drücken Enter und schließend Shift+ Tab, dann erscheint die Signatur des entsprechenden Funktionalität und der Ausschnitt der Hilfedokumentation. Bei zweimaligem Drücken von Shift + Tab erscheint die Hilfe vollständig.


In [3]:
pd.Categorical


Out[3]:
pandas.core.arrays.categorical.Categorical

Laden von Daten

Als nächstes Laden wir Telefon-Metadaten (sog. CDRs: Call Data Records) aus einer Datei mit kommaseparierten Daten (einer "CSV"-Datei: "Comma-separated values").

Pandas bietet hierzu eine Methode namens read_csv. Diese nimmt als ersten Parameter einen Pfad entgegen. Diverse andere Argumente können angegeben werden, um spezielle Varianten von CSV-Dateien einlesen zu können. Z. B.

  • sep: Trennzeichen für Daten in einer Zeile wie etwa sep=";"
  • encoding: andere Zeichenkodierungen wie etwa encoding="latin-1"
  • dtype: Zuordnung von Spalten zu speziellen Datentypen wie etwa dtype={ 0:str }

Lesen wir erst einmal die Datei data/CDR_data.csv ohne jegliche Argumente ein. Diese Datei enthält die für 10 Mobilfunknutzer gesammelten Telefon-Metadaten über drei Jahre hinweg. Folgende Informationen sind darin enthalten:

  • In: Die anrufende Telefonnummer
  • Out: Die ausgehende Telefonnummer
  • Direction: Die Richtung des Telefonats
  • CallTimestamp: Der Zeitstempel des Anrufs
  • Duration: Die Dauer des Telefonats
  • TowerID: Die ID des ersten Mobilfunkmasten, der beim Anruf genutzt wurde

Wir lesen die Daten ein und weisen das Ergebnis mittels = der neuen Variable cdr zu. Mittels der Methode head() können wir uns dann in der Folgezeile die ersten fünf Einträge anzeigen lassen.


In [146]:
cdr = pd.read_excel('data/CDR_data.xlsx', dtype={0:str, 1:str})
cdr.head()


Out[146]:
In Out Direction CallTimestamp Duration TowerID
0 04638472273 02666307251 Incoming 2010-12-25 07:16:24.736813 0:02:41.741499 0db53dd3-eb9c-4344-abc5-c2d74ebc3eec
1 04638472273 01755442610 Incoming 2010-12-25 21:18:30.053710 0:02:47.108750 aeaf8b43-8034-44fe-833d-31854a75acbf
2 04638472273 05481755331 Incoming 2010-12-25 14:52:42.878016 0:04:35.356341 fadaa83f-6001-45fd-aa4a-17d6c6b7ec00
3 04638472273 01755442610 Incoming 2010-12-25 16:02:09.001913 0:02:23.498499 fadaa83f-6001-45fd-aa4a-17d6c6b7ec00
4 04638472273 02145623768 Incoming 2010-12-25 15:28:35.028554 0:03:54.692497 95d7920d-c3cd-4d20-a568-9a55800dc807

In [98]:
cdr["Direction"].value_counts()


Out[98]:
Incoming    35626
Missed      17562
Name: Direction, dtype: int64

In [147]:
cdr.loc[cdr["Direction"] == "Incoming", "Dir"] = "->"
cdr.loc[cdr["Direction"] == "Missed", "Dir"] = "-X"
cdr['Call'] = cdr['Out'] + cdr['Dir'] + cdr['In']
cdr.head()


Out[147]:
In Out Direction CallTimestamp Duration TowerID Dir Call
0 04638472273 02666307251 Incoming 2010-12-25 07:16:24.736813 0:02:41.741499 0db53dd3-eb9c-4344-abc5-c2d74ebc3eec -> 02666307251->04638472273
1 04638472273 01755442610 Incoming 2010-12-25 21:18:30.053710 0:02:47.108750 aeaf8b43-8034-44fe-833d-31854a75acbf -> 01755442610->04638472273
2 04638472273 05481755331 Incoming 2010-12-25 14:52:42.878016 0:04:35.356341 fadaa83f-6001-45fd-aa4a-17d6c6b7ec00 -> 05481755331->04638472273
3 04638472273 01755442610 Incoming 2010-12-25 16:02:09.001913 0:02:23.498499 fadaa83f-6001-45fd-aa4a-17d6c6b7ec00 -> 01755442610->04638472273
4 04638472273 02145623768 Incoming 2010-12-25 15:28:35.028554 0:03:54.692497 95d7920d-c3cd-4d20-a568-9a55800dc807 -> 02145623768->04638472273

In [200]:
cdr["td"] = pd.to_timedelta(cdr['Duration'])
cdr["td"].head()


Out[200]:
0   00:02:41.741499
1   00:02:47.108750
2   00:04:35.356341
3   00:02:23.498499
4   00:03:54.692497
Name: td, dtype: timedelta64[ns]

In [210]:
cdr['Start'] = pd.to_datetime(cdr['CallTimestamp'])
cdr['End'] = cdr['Start'] + cdr["td"]
cdr.head()


Out[210]:
In Out Direction CallTimestamp Duration TowerID Dir Call Start End NewDur td
0 04638472273 02666307251 Incoming 2010-12-25 07:16:24.736813 0:02:41.741499 0db53dd3-eb9c-4344-abc5-c2d74ebc3eec -> 02666307251->04638472273 2010-12-25 07:16:24.736813 2010-12-25 07:19:06.478312 00:00:03.234829 00:02:41.741499
1 04638472273 01755442610 Incoming 2010-12-25 21:18:30.053710 0:02:47.108750 aeaf8b43-8034-44fe-833d-31854a75acbf -> 01755442610->04638472273 2010-12-25 21:18:30.053710 2010-12-25 21:21:17.162460 00:00:03.342175 00:02:47.108750
2 04638472273 05481755331 Incoming 2010-12-25 14:52:42.878016 0:04:35.356341 fadaa83f-6001-45fd-aa4a-17d6c6b7ec00 -> 05481755331->04638472273 2010-12-25 14:52:42.878016 2010-12-25 14:57:18.234357 00:00:05.507126 00:04:35.356341
3 04638472273 01755442610 Incoming 2010-12-25 16:02:09.001913 0:02:23.498499 fadaa83f-6001-45fd-aa4a-17d6c6b7ec00 -> 01755442610->04638472273 2010-12-25 16:02:09.001913 2010-12-25 16:04:32.500412 00:00:02.869969 00:02:23.498499
4 04638472273 02145623768 Incoming 2010-12-25 15:28:35.028554 0:03:54.692497 95d7920d-c3cd-4d20-a568-9a55800dc807 -> 02145623768->04638472273 2010-12-25 15:28:35.028554 2010-12-25 15:32:29.721051 00:00:04.693849 00:03:54.692497

In [212]:
cdr['End'] = cdr.loc[cdr['Direction'] == "Missed", 'End'] = pd.to_timedelta("00:00:01.00")
cdr.head()


Out[212]:
In Out Direction CallTimestamp Duration TowerID Dir Call Start End NewDur td
0 04638472273 02666307251 Incoming 2010-12-25 07:16:24.736813 0:02:41.741499 0db53dd3-eb9c-4344-abc5-c2d74ebc3eec -> 02666307251->04638472273 2010-12-25 07:16:24.736813 00:00:01 00:00:03.234829 00:02:41.741499
1 04638472273 01755442610 Incoming 2010-12-25 21:18:30.053710 0:02:47.108750 aeaf8b43-8034-44fe-833d-31854a75acbf -> 01755442610->04638472273 2010-12-25 21:18:30.053710 00:00:01 00:00:03.342175 00:02:47.108750
2 04638472273 05481755331 Incoming 2010-12-25 14:52:42.878016 0:04:35.356341 fadaa83f-6001-45fd-aa4a-17d6c6b7ec00 -> 05481755331->04638472273 2010-12-25 14:52:42.878016 00:00:01 00:00:05.507126 00:04:35.356341
3 04638472273 01755442610 Incoming 2010-12-25 16:02:09.001913 0:02:23.498499 fadaa83f-6001-45fd-aa4a-17d6c6b7ec00 -> 01755442610->04638472273 2010-12-25 16:02:09.001913 00:00:01 00:00:02.869969 00:02:23.498499
4 04638472273 02145623768 Incoming 2010-12-25 15:28:35.028554 0:03:54.692497 95d7920d-c3cd-4d20-a568-9a55800dc807 -> 02145623768->04638472273 2010-12-25 15:28:35.028554 00:00:01 00:00:04.693849 00:03:54.692497

In [213]:
cdr["NewDur"] = cdr['End'] - cdr['Start']
cdr[['Direction', 'NewDur', 'Duration']]


---------------------------------------------------------------------------
TypeError                                 Traceback (most recent call last)
<ipython-input-213-835fc30c76ba> in <module>
----> 1 cdr["NewDur"] = cdr['End'] - cdr['Start']
      2 cdr[['Direction', 'NewDur', 'Duration']]

C:\dev\apps\Anaconda3\lib\site-packages\pandas\core\ops.py in wrapper(left, right)
   1053 
   1054         elif is_timedelta64_dtype(left):
-> 1055             result = dispatch_to_index_op(op, left, right, pd.TimedeltaIndex)
   1056             return construct_result(left, result,
   1057                                     index=left.index, name=res_name,

C:\dev\apps\Anaconda3\lib\site-packages\pandas\core\ops.py in dispatch_to_index_op(op, left, right, index_class)
   1099         left_idx = left_idx._shallow_copy(freq=None)
   1100     try:
-> 1101         result = op(left_idx, right)
   1102     except NullFrequencyError:
   1103         # DatetimeIndex and TimedeltaIndex with freq == None raise ValueError

C:\dev\apps\Anaconda3\lib\site-packages\pandas\core\ops.py in wrapper(left, right)
   1047 
   1048         if is_datetime64_dtype(left) or is_datetime64tz_dtype(left):
-> 1049             result = dispatch_to_index_op(op, left, right, pd.DatetimeIndex)
   1050             return construct_result(left, result,
   1051                                     index=left.index, name=res_name,

C:\dev\apps\Anaconda3\lib\site-packages\pandas\core\ops.py in dispatch_to_index_op(op, left, right, index_class)
   1099         left_idx = left_idx._shallow_copy(freq=None)
   1100     try:
-> 1101         result = op(left_idx, right)
   1102     except NullFrequencyError:
   1103         # DatetimeIndex and TimedeltaIndex with freq == None raise ValueError

C:\dev\apps\Anaconda3\lib\site-packages\pandas\core\ops.py in rsub(left, right)
    115 
    116 def rsub(left, right):
--> 117     return right - left
    118 
    119 

C:\dev\apps\Anaconda3\lib\site-packages\pandas\core\indexes\datetimelike.py in __sub__(self, other)
    915             elif is_datetime64_dtype(other) or is_datetime64tz_dtype(other):
    916                 # DatetimeIndex, ndarray[datetime64]
--> 917                 result = self._sub_datelike(other)
    918             elif isinstance(other, Index):
    919                 raise TypeError("cannot subtract {cls} and {typ}"

C:\dev\apps\Anaconda3\lib\site-packages\pandas\core\indexes\timedeltas.py in _sub_datelike(self, other)
    433         assert other is not NaT
    434         raise TypeError("cannot subtract a datelike from a {cls}"
--> 435                         .format(cls=type(self).__name__))
    436 
    437     def _addsub_offset_array(self, other, op):

TypeError: cannot subtract a datelike from a TimedeltaIndex

In [172]:
cdr[['Call', 'Start', 'End', 'TowerID']].to_csv('cdr_raw_data.csv', index=None)

In [173]:
pd.read_csv("cdr_raw_data.csv")


Out[173]:
Call Start End TowerID
0 02666307251->04638472273 2010-12-25 07:16:24.736813 2010-12-25 07:19:06.478312 0db53dd3-eb9c-4344-abc5-c2d74ebc3eec
1 01755442610->04638472273 2010-12-25 21:18:30.053710 2010-12-25 21:21:17.162460 aeaf8b43-8034-44fe-833d-31854a75acbf
2 05481755331->04638472273 2010-12-25 14:52:42.878016 2010-12-25 14:57:18.234357 fadaa83f-6001-45fd-aa4a-17d6c6b7ec00
3 01755442610->04638472273 2010-12-25 16:02:09.001913 2010-12-25 16:04:32.500412 fadaa83f-6001-45fd-aa4a-17d6c6b7ec00
4 02145623768->04638472273 2010-12-25 15:28:35.028554 2010-12-25 15:32:29.721051 95d7920d-c3cd-4d20-a568-9a55800dc807
5 02946222380->04638472273 2010-12-25 11:38:17.275327 2010-12-25 11:41:23.945682 95c91e8b-6ff1-4893-9df3-b0342636bd25
6 07841019020-X04638472273 2010-12-25 10:38:35.924232 2010-12-25 10:40:38.779500 fadaa83f-6001-45fd-aa4a-17d6c6b7ec00
7 06092528894-X01559410755 2010-12-25 15:15:56.502972 2010-12-25 15:27:49.455159 b4319acf-b475-4c3e-a2e0-03b2dd2daf9e
8 06092528894->01559410755 2010-12-25 20:15:19.667734 2010-12-25 20:27:12.618814 f958754c-3d55-47c4-8236-50b964a7b997
9 08125446700-X01559410755 2010-12-25 10:01:02.162977 2010-12-25 10:15:13.209821 07dec2d7-b5d1-410d-8879-ecf7385af719
10 05452154622->01559410755 2010-12-25 19:57:00.050868 2010-12-25 20:11:40.370545 f958754c-3d55-47c4-8236-50b964a7b997
11 01747156055->01559410755 2010-12-25 10:08:39.978468 2010-12-25 10:20:46.805046 b4319acf-b475-4c3e-a2e0-03b2dd2daf9e
12 08484043137->01559410755 2010-12-25 20:57:01.994902 2010-12-25 21:11:12.479914 1cffcc44-1c60-4ca2-9a37-d3862bbe9702
13 04182819078->01559410755 2010-12-25 17:35:08.626059 2010-12-25 17:49:22.941518 d4e84085-292b-4fcb-bdc1-9813ca24e696
14 08484043137->01559410755 2010-12-25 09:07:13.394117 2010-12-25 09:20:59.797772 b4319acf-b475-4c3e-a2e0-03b2dd2daf9e
15 06448594093-X01559410755 2010-12-25 15:07:17.355913 2010-12-25 15:17:38.000126 73900a57-7f0f-46e8-a30b-aa84828eee40
16 07137960738->01559410755 2010-12-25 19:18:03.939869 2010-12-25 19:28:46.857499 8b54cc68-bb4d-4baf-b824-4cd1ba67bfb0
17 06092528894->01559410755 2010-12-25 18:10:29.499063 2010-12-25 18:22:15.766882 e3572de6-38e5-4e79-978d-f42e6da3f4ec
18 07823046796->01559410755 2010-12-25 20:20:55.897851 2010-12-25 20:35:06.825281 da558347-0be4-401a-ab65-f19d136e2542
19 08484043137->01559410755 2010-12-25 13:59:57.222163 2010-12-25 14:13:03.174725 b4319acf-b475-4c3e-a2e0-03b2dd2daf9e
20 01146268309->01559410755 2010-12-25 19:10:22.023712 2010-12-25 19:25:52.304713 245134b4-96ca-455e-a5dc-2b5777c00d62
21 06092528894->01559410755 2010-12-25 18:50:44.661851 2010-12-25 19:03:32.611113 3adc057c-4ec8-44b7-bf6b-7b1c4fe9a99a
22 04182819078->01559410755 2010-12-25 09:08:03.428833 2010-12-25 09:20:01.373124 5fcc412a-14ac-4ee2-8fb2-86353c7b5750
23 04091221367-X01559410755 2010-12-25 11:04:34.187041 2010-12-25 11:17:02.859347 4a5bbfd1-8f33-4b5a-8f67-ffb4a3ff4c10
24 08484043137->01559410755 2010-12-25 15:31:12.565107 2010-12-25 15:43:50.702925 0b8b52af-9b05-42bf-808c-f840d5aa56a0
25 00908094484-X01559410755 2010-12-25 10:33:06.279349 2010-12-25 10:47:10.017546 b4319acf-b475-4c3e-a2e0-03b2dd2daf9e
26 08125446700->01559410755 2010-12-25 15:07:22.132763 2010-12-25 15:19:32.645919 0a5847f3-01e3-48fa-8774-fea5b715bf99
27 00908094484->01559410755 2010-12-25 09:58:24.802820 2010-12-25 10:11:43.742243 07dec2d7-b5d1-410d-8879-ecf7385af719
28 06948482470->01559410755 2010-12-25 15:16:01.409637 2010-12-25 15:31:20.033549 2f649bf1-5a42-47c0-b53f-bc6874f97cab
29 06448594093-X01559410755 2010-12-25 14:35:05.402468 2010-12-25 14:46:21.774653 b4319acf-b475-4c3e-a2e0-03b2dd2daf9e
... ... ... ... ...
53158 00876725672-X02068627935 2013-02-26 16:41:49.654046 2013-02-26 16:47:01.897530 d532d9c4-51c3-4cad-b51a-ab377700dc1a
53159 01281926045->02068627935 2013-02-26 07:54:27.396609 2013-02-26 08:00:08.688691 8cff2e28-e040-43e6-b452-3aef8740f416
53160 09477125894->02068627935 2013-02-26 18:38:10.758528 2013-02-26 18:43:28.240669 e6c68941-4ba2-4eb6-92c6-a3fa3f16847e
53161 03403144227-X02068627935 2013-02-26 08:47:24.443294 2013-02-26 08:52:37.453944 5085f23b-02df-4fd0-8892-d188644151fd
53162 02447643000->02068627935 2013-02-26 18:48:30.906923 2013-02-26 18:53:32.979921 69f4f4a1-8055-4c75-ac86-404d4a3f16d0
53163 03083991963-X02068627935 2013-02-26 18:09:31.950138 2013-02-26 18:14:37.675828 9baa92e7-e990-4e9e-8c0a-4c17cb4ecc7c
53164 09477125894-X02068627935 2013-02-26 19:35:43.088890 2013-02-26 19:39:26.319215 69f4f4a1-8055-4c75-ac86-404d4a3f16d0
53165 00616374815->02894365987 2013-02-26 07:34:09.466812 2013-02-26 07:42:23.777031 f306a05f-620a-4b47-a64f-efdadc0294e4
53166 09438365642->02894365987 2013-02-26 11:40:03.839954 2013-02-26 11:47:36.479776 282d497a-034e-4423-b9aa-5f61c05d1d11
53167 03922966733->02894365987 2013-02-26 16:54:59.817237 2013-02-26 17:02:04.133608 282d497a-034e-4423-b9aa-5f61c05d1d11
53168 07216979669-X02894365987 2013-02-26 10:54:48.830800 2013-02-26 11:02:25.471719 282d497a-034e-4423-b9aa-5f61c05d1d11
53169 06939456722->02894365987 2013-02-26 19:43:37.265428 2013-02-26 19:52:41.147718 583c5185-f9ad-406b-a986-4e0bff20f10a
53170 07310853860->02894365987 2013-02-26 09:12:39.891258 2013-02-26 09:20:28.850768 282d497a-034e-4423-b9aa-5f61c05d1d11
53171 03340422162->02894365987 2013-02-26 08:31:21.292908 2013-02-26 08:38:18.327379 282d497a-034e-4423-b9aa-5f61c05d1d11
53172 05070881310->02894365987 2013-02-26 13:01:17.685045 2013-02-26 13:09:34.074750 b39eb337-5811-43c3-a3ab-fddbe4f6d728
53173 07310853860->02894365987 2013-02-26 08:52:00.798370 2013-02-26 08:59:09.875621 282d497a-034e-4423-b9aa-5f61c05d1d11
53174 06451037309-X02894365987 2013-02-26 18:27:58.464256 2013-02-26 18:34:41.331680 0e14fe0e-25fe-445d-ad29-c2595a484be9
53175 03348173258->02894365987 2013-02-26 16:41:42.335735 2013-02-26 16:48:09.632696 8f8c676c-e676-41eb-b698-26142e84a20b
53176 06257308280->02894365987 2013-02-26 07:59:55.051151 2013-02-26 08:06:57.780682 82e3e882-8cf4-4f65-9eaa-3e0dd372a9e5
53177 07003421569->02894365987 2013-02-26 08:19:08.261933 2013-02-26 08:28:16.105765 fbb206b6-e592-4257-b88f-e279773e9c24
53178 07310853860-X02894365987 2013-02-26 19:07:09.768742 2013-02-26 19:13:27.787573 fd8be326-fe13-43c4-b040-c4d0a79f1bc7
53179 02551237669->02894365987 2013-02-26 15:54:22.400136 2013-02-26 16:01:23.160460 fbb206b6-e592-4257-b88f-e279773e9c24
53180 00265146067->02894365987 2013-02-26 19:51:03.020138 2013-02-26 20:00:18.491396 fd8be326-fe13-43c4-b040-c4d0a79f1bc7
53181 06451037309-X02894365987 2013-02-26 07:59:17.832810 2013-02-26 08:08:46.294197 33cd3264-5982-4fbb-86d5-071d21918b5c
53182 00172334479->08549533077 2013-02-26 18:44:03.914215 2013-02-26 18:48:06.814388 232edf2b-a92a-4bf2-98ab-029d1f7f9dad
53183 00491169353-X08549533077 2013-02-26 19:11:18.125445 2013-02-26 19:15:23.781776 6c1f0271-70e2-4ea6-bb8b-23b3b0b06117
53184 02362231379->08549533077 2013-02-26 18:01:56.075434 2013-02-26 18:03:49.924031 a11a02cf-73c6-479c-8cf1-8fbee7917716
53185 00186272563->08549533077 2013-02-26 16:08:57.602134 2013-02-26 16:10:55.179683 06fe2702-1f88-4dfd-90d6-22c2d3227855
53186 02288700880->08549533077 2013-02-26 08:01:39.721347 2013-02-26 08:03:19.411845 269b1e26-49c4-4308-8879-8f2d37528c8a
53187 00491169353->08549533077 2013-02-26 10:47:00.637845 2013-02-26 10:50:43.233091 269b1e26-49c4-4308-8879-8f2d37528c8a

53188 rows × 4 columns


In [143]:
cdr[['Caller', 'Symbol', 'Callee']] = cdr['Call'].str.split("(->|-X)", expand=True)
cdr.head()


Out[143]:
In Out Direction CallTimestamp Duration TowerID Dir Call Caller Action Callee Symbol
0 04638472273 02666307251 -> 2010-12-25 07:16:24.736813 0:02:41.741499 0db53dd3-eb9c-4344-abc5-c2d74ebc3eec -> 02666307251->04638472273 02666307251 Incoming 04638472273 ->
1 04638472273 01755442610 -> 2010-12-25 21:18:30.053710 0:02:47.108750 aeaf8b43-8034-44fe-833d-31854a75acbf -> 01755442610->04638472273 01755442610 Incoming 04638472273 ->
2 04638472273 05481755331 -> 2010-12-25 14:52:42.878016 0:04:35.356341 fadaa83f-6001-45fd-aa4a-17d6c6b7ec00 -> 05481755331->04638472273 05481755331 Incoming 04638472273 ->
3 04638472273 01755442610 -> 2010-12-25 16:02:09.001913 0:02:23.498499 fadaa83f-6001-45fd-aa4a-17d6c6b7ec00 -> 01755442610->04638472273 01755442610 Incoming 04638472273 ->
4 04638472273 02145623768 -> 2010-12-25 15:28:35.028554 0:03:54.692497 95d7920d-c3cd-4d20-a568-9a55800dc807 -> 02145623768->04638472273 02145623768 Incoming 04638472273 ->

In [145]:
cdr['Action'] = cdr['Symbol'].map(
    {
        "->" : "Incoming",
        "-X" : "Missed"
    })
cdr.head()


Out[145]:
In Out Direction CallTimestamp Duration TowerID Dir Call Caller Action Callee Symbol
0 04638472273 02666307251 -> 2010-12-25 07:16:24.736813 0:02:41.741499 0db53dd3-eb9c-4344-abc5-c2d74ebc3eec -> 02666307251->04638472273 02666307251 Incoming 04638472273 ->
1 04638472273 01755442610 -> 2010-12-25 21:18:30.053710 0:02:47.108750 aeaf8b43-8034-44fe-833d-31854a75acbf -> 01755442610->04638472273 01755442610 Incoming 04638472273 ->
2 04638472273 05481755331 -> 2010-12-25 14:52:42.878016 0:04:35.356341 fadaa83f-6001-45fd-aa4a-17d6c6b7ec00 -> 05481755331->04638472273 05481755331 Incoming 04638472273 ->
3 04638472273 01755442610 -> 2010-12-25 16:02:09.001913 0:02:23.498499 fadaa83f-6001-45fd-aa4a-17d6c6b7ec00 -> 01755442610->04638472273 01755442610 Incoming 04638472273 ->
4 04638472273 02145623768 -> 2010-12-25 15:28:35.028554 0:03:54.692497 95d7920d-c3cd-4d20-a568-9a55800dc807 -> 02145623768->04638472273 02145623768 Incoming 04638472273 ->

In [90]:
writer = pd.ExcelWriter(r'C:\dev\repos\software-analytics\courses\python_pandas_basics\session0\output2.xlsx',
                        engine='xlsxwriter',
                        options={'strings_to_numbers': True})

In [91]:
cdr.to_excel(writer)

In [92]:
pd.read_excel("output.xlsx")


---------------------------------------------------------------------------
FileNotFoundError                         Traceback (most recent call last)
<ipython-input-92-9c7e7d208ce7> in <module>
----> 1 pd.read_excel("output.xlsx")

C:\dev\apps\Anaconda3\lib\site-packages\pandas\util\_decorators.py in wrapper(*args, **kwargs)
    176                 else:
    177                     kwargs[new_arg_name] = new_arg_value
--> 178             return func(*args, **kwargs)
    179         return wrapper
    180     return _deprecate_kwarg

C:\dev\apps\Anaconda3\lib\site-packages\pandas\util\_decorators.py in wrapper(*args, **kwargs)
    176                 else:
    177                     kwargs[new_arg_name] = new_arg_value
--> 178             return func(*args, **kwargs)
    179         return wrapper
    180     return _deprecate_kwarg

C:\dev\apps\Anaconda3\lib\site-packages\pandas\io\excel.py in read_excel(io, sheet_name, header, names, index_col, usecols, squeeze, dtype, engine, converters, true_values, false_values, skiprows, nrows, na_values, parse_dates, date_parser, thousands, comment, skipfooter, convert_float, **kwds)
    305 
    306     if not isinstance(io, ExcelFile):
--> 307         io = ExcelFile(io, engine=engine)
    308 
    309     return io.parse(

C:\dev\apps\Anaconda3\lib\site-packages\pandas\io\excel.py in __init__(self, io, **kwds)
    392             self.book = xlrd.open_workbook(file_contents=data)
    393         elif isinstance(self._io, compat.string_types):
--> 394             self.book = xlrd.open_workbook(self._io)
    395         else:
    396             raise ValueError('Must explicitly set engine if not passing in'

C:\dev\apps\Anaconda3\lib\site-packages\xlrd\__init__.py in open_workbook(filename, logfile, verbosity, use_mmap, file_contents, encoding_override, formatting_info, on_demand, ragged_rows)
    114         peek = file_contents[:peeksz]
    115     else:
--> 116         with open(filename, "rb") as f:
    117             peek = f.read(peeksz)
    118     if peek == b"PK\x03\x04": # a ZIP file

FileNotFoundError: [Errno 2] No such file or directory: 'output.xlsx'

Als nächstes sehen wir uns mit der info()-Methode an, was uns nun Pandas in die cdr-Variable geschrieben hat.


In [5]:
cdr.info()


<class 'pandas.core.frame.DataFrame'>
RangeIndex: 53188 entries, 0 to 53187
Data columns (total 6 columns):
In               53188 non-null int64
Out              53188 non-null int64
Direction        53188 non-null object
CallTimestamp    53188 non-null object
Duration         53188 non-null object
TowerID          53188 non-null object
dtypes: int64(2), object(4)
memory usage: 2.4+ MB

DataFrame

Wir sehen, das wir nun einen DataFrame erhalten haben. Einen DataFrame können wir uns ersteinmal wie ein Excel-Arbeitsblatt vorstellen. Er besteht aus Zeilen ("rows") und Spalten ("columns"). Wir können auf Zeilen und Spalten Operationen beliebiger Art ausführen lassen. Vor allem die spaltenweise Verarbeitung ist hier sehr effizient gelöst.

Speziell unser DataFrame enthält nun 53188 Einträge von Telefonaten. Wir können das prüfen, indem wir über die in Python eingebauten len-Methode auf den unseren cdr-DataFrame anwenden.


In [6]:
len(cdr)


Out[6]:
53188

Zudem sehen wir Informationen über die Datentypen in dem Dataframe. Die beiden ersten Spalten In und Out sind vom Typ int64, also Ganzzahlen, welche als 64-Bit gespeichert werden (können also sehr große Zahlen werden). Die vier anderen Spalten sind vom Typ object, was in unserem Fall soviel bedeutet, dass wir hier ersteinmal reine Zeichenketten bzw. Texte vorliegen haben.

Alle Spalten werden als non-null angezeigt. D. h. dass in jeder Reihe für jede Spalte immer ein Eintrag vorhanden ist.

Für einzelne Spalten eines DataFrames (den sog. Series) können ganz schnelle Auswertungen vornehmen. Z. B. können wir einmal nachsehen, wie lange die durchschnittliche Dauer aller Telefonate ist. Vorher müssen wir jedoch die Spalte noch in einen passenden Datentyp umwandeln. Pandas bietet uns hier verschiedene Helfermethoden, um dies zu bewerkstelligen:

  • to_numeric wandelt Daten in Zahlen um
  • to_datetime wandelt Daten in Datumsangaben um
  • to_timedelta wandelt Daten in Zeitangaben um

Hierzu nutzen wir die Spalte Duration und wenden darauf die Methode mean() an. Den Zugriff auf die Spalte können wir mittels zwei unterschiedlicher Schreibweisen vornehmen:

  • Map-Schreibweise: Hier verwenden wir eckige Klammern zum Zugriff auf eine Spalte: cdr['Duration']. Ein wesentlicher Vorteil dieser Schreibweise ist, dass hier jeder Spaltenname (z. B. mit Leerzeichen oder Zahlen) angesprochen werden kann
  • Attribut-Schreibweise: Hier können wir Spalte direkt auf dem DataFrame aufrufen: cdr.Duration. Ein Vorteil dieser Schreibweise ist, dass hier die Autovervollständigung funktioniert. Ich bevorzuge diese Schreibweise, soweit das möglich ist.

Wir wandeln die Spalte CallTimestamp mittels pd.to_datetime und die Spalte Duration mittels pd.to_timedelta entsprechend ihrer passenden Datentypen um. Die Ergebnisse speichern wir gleich wieder in die entsprechenden Spalten. Mit info() auf den DataFrame können wir nun kontrollieren, ob die Umwandlung erfolgreich war.


In [7]:
cdr.CallTimestamp = pd.to_datetime(cdr.CallTimestamp)
cdr.Duration = pd.to_timedelta(cdr.Duration)
cdr.info()


<class 'pandas.core.frame.DataFrame'>
RangeIndex: 53188 entries, 0 to 53187
Data columns (total 6 columns):
In               53188 non-null int64
Out              53188 non-null int64
Direction        53188 non-null object
CallTimestamp    53188 non-null datetime64[ns]
Duration         53188 non-null timedelta64[ns]
TowerID          53188 non-null object
dtypes: datetime64[ns](1), int64(2), object(2), timedelta64[ns](1)
memory usage: 2.4+ MB

Nun können wir auf der Spalte Duration den Durchschnitt mit mean() berechnen.


In [8]:
cdr.Duration.mean()


Out[8]:
Timedelta('0 days 00:06:17.955897')

Wir sehen, dass die durchschnittliche Anrufdauer bei etwa sechs Minuten liegt.


In [12]:
john_doe = cdr_names[ist_john_doe]
john_doe.head()


Out[12]:
In Out Direction CallTimestamp Duration TowerID number name
1 4638472273 2666307251 Incoming 2010-12-25 07:16:24.736813 00:02:41.741499 0db53dd3-eb9c-4344-abc5-c2d74ebc3eec 4638472273 John Doe
3 4638472273 1755442610 Incoming 2010-12-25 21:18:30.053710 00:02:47.108750 aeaf8b43-8034-44fe-833d-31854a75acbf 4638472273 John Doe
5 4638472273 5481755331 Incoming 2010-12-25 14:52:42.878016 00:04:35.356341 fadaa83f-6001-45fd-aa4a-17d6c6b7ec00 4638472273 John Doe
7 4638472273 1755442610 Incoming 2010-12-25 16:02:09.001913 00:02:23.498499 fadaa83f-6001-45fd-aa4a-17d6c6b7ec00 4638472273 John Doe
9 4638472273 2145623768 Incoming 2010-12-25 15:28:35.028554 00:03:54.692497 95d7920d-c3cd-4d20-a568-9a55800dc807 4638472273 John Doe

Im nächsten Schritt interessiert uns, wo John Doe überall telefoniert. Wir wissen dank der TowerId, an welchem Mobilfunkmasten John Doe eingeloggt war, als das Telefonat stattgefunden hatte. In der Datei data/towers.csb haben wir zudem die Informationen, an welcher geografischen Koordinate sich ein Mobilfunkmast befindet. Diese Angaben sind pro TowerId als Breitengrad und Höhengrad abgelegt. Zuerst laden wir die entsprechende CSV-Datei mittels read_csv(). Wir geben zusätzlich mittels index_col=0 mit an, dass wir die erste Spalte im DataFrame als Index verwenden wollen.


In [13]:
towers = pd.read_csv("data/towers.csv", index_col=0)
towers.head()


Out[13]:
TowerLat TowerLon
TowerID
0db53dd3-eb9c-4344-abc5-c2d74ebc3eec 32.731611 -96.709417
aeaf8b43-8034-44fe-833d-31854a75acbf 32.731722 -96.709500
fadaa83f-6001-45fd-aa4a-17d6c6b7ec00 32.899944 -96.910389
95d7920d-c3cd-4d20-a568-9a55800dc807 32.899944 -96.910389
95c91e8b-6ff1-4893-9df3-b0342636bd25 32.899944 -96.910389

Zum Zusammenführen der Daten mit unseren bestehenden CDR-DataFrame können wir diesesmal die join()-Methode verwenden, da wir im towers DataFrame einen Index auf die TowerID-Spalte angelegt haben. Die join()-Methode kann nun auf dieser Basis die Daten zusammenführen. Dazu müssen wir noch angeben, welche Spalte im john_doe-DataFrame die Index-Spalte im anderen DataFrame repräsentiert. Das Ergebnis speichern wir in der Variable john_doe_towers.


In [14]:
john_doe_towers = john_doe.join(towers, on='TowerID')
john_doe_towers.head()


Out[14]:
In Out Direction CallTimestamp Duration TowerID number name TowerLat TowerLon
1 4638472273 2666307251 Incoming 2010-12-25 07:16:24.736813 00:02:41.741499 0db53dd3-eb9c-4344-abc5-c2d74ebc3eec 4638472273 John Doe 32.731611 -96.709417
3 4638472273 1755442610 Incoming 2010-12-25 21:18:30.053710 00:02:47.108750 aeaf8b43-8034-44fe-833d-31854a75acbf 4638472273 John Doe 32.731722 -96.709500
5 4638472273 5481755331 Incoming 2010-12-25 14:52:42.878016 00:04:35.356341 fadaa83f-6001-45fd-aa4a-17d6c6b7ec00 4638472273 John Doe 32.899944 -96.910389
7 4638472273 1755442610 Incoming 2010-12-25 16:02:09.001913 00:02:23.498499 fadaa83f-6001-45fd-aa4a-17d6c6b7ec00 4638472273 John Doe 32.899944 -96.910389
9 4638472273 2145623768 Incoming 2010-12-25 15:28:35.028554 00:03:54.692497 95d7920d-c3cd-4d20-a568-9a55800dc807 4638472273 John Doe 32.899944 -96.910389

Nun können wir irgendwie nicht mehr erwarten zu sehen, wo die Telefonate durchgeführt wurden. Dazu plotten wir mit der Visualisierungsbibliothek "matplotlib" die entsprechenden Koordinaten der Mobilfunkmasten.


In [15]:
import matplotlib.pyplot as plt
import matplotlib

# sagt Jupyter, dass die Plotausgabe direkt im Notebook passieren soll
%matplotlib inline 
# macht die Plots schöner
matplotlib.style.use('ggplot')

In [16]:
ax = john_doe_towers.plot.scatter(
    x='TowerLon',
    y='TowerLat',
    alpha=0.1,
    title='Anruforte',
    s = 100)



In [17]:
from sklearn.cluster import KMeans

kmeans = KMeans(n_clusters = 2)
data = pd.concat([john_doe_towers.TowerLon, john_doe_towers.TowerLat], axis = 1)
labels = kmeans.fit_predict(data)
centroids = kmeans.cluster_centers_
ax.scatter(x = centroids[:, 0], y = centroids[:, 1], c = 'r', marker = 'x', s = 100)
ax.figure
#showandtell()  # TODO: Comment this line out when you're ready to proceed


Out[17]:

In [51]:
data['TowerLon'].value_counts()


Out[51]:
-96.910389    1744
-96.709417     879
-96.709500     473
-96.694722      86
-96.742528      60
-96.892222      41
-96.812500      31
-96.856389      28
-96.723056      24
-96.834583      21
-96.901944      21
-96.836944      17
-96.917194      17
-96.758056      17
-96.895722      17
-96.855000      16
-96.844722      16
-96.796667      16
-96.709444      14
-96.776667      14
-96.898833       9
-96.776694       8
-96.855639       6
-96.884806       6
-96.811944       6
-97.036583       5
-96.978333       5
-96.810556       5
-96.817778       5
-96.837028       5
-96.775083       4
-96.855833       4
-96.793889       3
-96.852389       3
-96.683333       3
-96.779444       3
-96.791194       3
-96.796528       3
-96.791250       3
-96.775556       2
-96.825556       2
-96.865528       1
-96.777278       1
-96.846500       1
Name: TowerLon, dtype: int64

In [33]:
from geojson import GeometryCollection, Point

data['Point'] = data.apply(lambda x: Point((x['TowerLon'], x['TowerLat'])), axis=1)
data.head()


Out[33]:
TowerLon TowerLat Point
1 -96.709417 32.731611 {'type': 'Point', 'coordinates': [-96.709417, ...
3 -96.709500 32.731722 {'type': 'Point', 'coordinates': [-96.7095, 32...
5 -96.910389 32.899944 {'type': 'Point', 'coordinates': [-96.910389, ...
7 -96.910389 32.899944 {'type': 'Point', 'coordinates': [-96.910389, ...
9 -96.910389 32.899944 {'type': 'Point', 'coordinates': [-96.910389, ...

In [49]:
data.count()


Out[49]:
TowerLon    3648
TowerLat    3648
Point       3648
dtype: int64

In [48]:
gc = GeometryCollection(data['Point'].values.tolist())
gc


Out[48]:
{"geometries": [{"coordinates": [-96.709417, 32.731611], "type": "Point"}, {"coordinates": [-96.7095, 32.731722], "type": "Point"}, {"coordinates": [-96.910389, 32.899944], "type": "Point"}, {"coordinates": [-96.910389, 32.899944], "type": "Point"}, {"coordinates": [-96.910389, 32.899944], "type": "Point"}, {"coordinates": [-96.910389, 32.899944], "type": "Point"}, {"coordinates": [-96.910389, 32.899944], "type": "Point"}, {"coordinates": [-96.901944, 32.895833], "type": "Point"}, {"coordinates": [-96.709417, 32.731611], "type": "Point"}, {"coordinates": [-96.910389, 32.899944], "type": "Point"}, {"coordinates": [-96.7095, 32.731722], "type": "Point"}, {"coordinates": [-96.7095, 32.731722], "type": "Point"}, {"coordinates": [-96.709417, 32.731611], "type": "Point"}, {"coordinates": [-96.910389, 32.899944], "type": "Point"}, {"coordinates": [-96.742528, 32.7535], "type": "Point"}, {"coordinates": [-96.796667, 32.805667], "type": "Point"}, {"coordinates": [-96.709417, 32.731611], "type": "Point"}, {"coordinates": [-96.709417, 32.731611], "type": "Point"}, {"coordinates": [-96.910389, 32.899944], "type": "Point"}, {"coordinates": [-96.910389, 32.899944], "type": "Point"}, {"coordinates": [-96.709417, 32.731611], "type": "Point"}, {"coordinates": [-96.742528, 32.7535], "type": "Point"}, {"coordinates": [-96.910389, 32.899944], "type": "Point"}, {"coordinates": [-96.7095, 32.731722], "type": "Point"}, {"coordinates": [-96.742528, 32.7535], "type": "Point"}, {"coordinates": [-96.910389, 32.899944], "type": "Point"}, {"coordinates": [-96.709417, 32.731611], "type": "Point"}, {"coordinates": [-96.910389, 32.899944], "type": "Point"}, {"coordinates": [-96.709417, 32.731611], "type": "Point"}, {"coordinates": [-96.910389, 32.899944], "type": "Point"}, {"coordinates": [-96.910389, 32.899944], "type": "Point"}, {"coordinates": [-96.709417, 32.731611], "type": "Point"}, {"coordinates": [-96.709417, 32.731611], "type": "Point"}, {"coordinates": [-96.7095, 32.731722], "type": 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{"coordinates": [-96.910389, 32.899944], "type": "Point"}, {"coordinates": [-96.910389, 32.899944], "type": "Point"}, {"coordinates": [-96.910389, 32.899944], "type": "Point"}, {"coordinates": [-96.910389, 32.899944], "type": "Point"}, {"coordinates": [-96.910389, 32.899944], "type": "Point"}, {"coordinates": [-96.910389, 32.899944], "type": "Point"}, {"coordinates": [-96.910389, 32.899944], "type": "Point"}, {"coordinates": [-96.910389, 32.899944], "type": "Point"}, {"coordinates": [-96.910389, 32.899944], "type": "Point"}, {"coordinates": [-96.910389, 32.899944], "type": "Point"}, {"coordinates": [-96.709417, 32.731611], "type": "Point"}, {"coordinates": [-96.7095, 32.731722], "type": "Point"}, {"coordinates": [-96.910389, 32.899944], "type": "Point"}, {"coordinates": [-96.910389, 32.899944], "type": "Point"}, {"coordinates": [-96.910389, 32.899944], "type": "Point"}, {"coordinates": [-96.694722, 32.750556], "type": "Point"}, {"coordinates": [-96.910389, 32.899944], "type": "Point"}, {"coordinates": [-96.892222, 32.911583], "type": "Point"}, {"coordinates": [-96.910389, 32.899944], "type": "Point"}, {"coordinates": [-96.910389, 32.899944], "type": "Point"}, {"coordinates": [-96.7095, 32.731722], "type": "Point"}, {"coordinates": [-96.709417, 32.731611], "type": "Point"}, {"coordinates": [-96.910389, 32.899944], "type": "Point"}, {"coordinates": [-96.910389, 32.899944], "type": "Point"}, {"coordinates": [-96.694722, 32.750556], "type": "Point"}, {"coordinates": [-96.836944, 32.864167], "type": "Point"}, {"coordinates": [-96.856389, 32.881111], "type": "Point"}], "type": "GeometryCollection"}

In [57]:
GeometryCollection([Point((x[0], x[1])) for x in centroids.tolist()])


Out[57]:
{"geometries": [{"coordinates": [-96.904701, 32.897258], "type": "Point"}, {"coordinates": [-96.714035, 32.736703], "type": "Point"}], "type": "GeometryCollection"}

In [ ]:


In [20]:
joined['CallTimestamp'] = pd.to_datetime(joined['CallTimestamp'])
weekdays = joined['CallTimestamp'].dt.dayofweek.isin(Workweek) & joined['CallTimestamp'].dt.hour.isin(range(8,18))
dfweekdays = joined[weekdays]
dfweekdays.head()


---------------------------------------------------------------------------
NameError                                 Traceback (most recent call last)
<ipython-input-20-59dd3a037e51> in <module>
----> 1 joined['CallTimestamp'] = pd.to_datetime(joined['CallTimestamp'])
      2 weekdays = joined['CallTimestamp'].dt.dayofweek.isin(Workweek) & joined['CallTimestamp'].dt.hour.isin(range(8,18))
      3 dfweekdays = joined[weekdays]
      4 dfweekdays.head()

NameError: name 'joined' is not defined

In [ ]:
targetname = 'John Doe'
user1 = joined[joined['Name'] == targetname]
#user1 = user1[weekdays]
user1 = user1.reset_index(drop=True)
user1.head()

In [ ]:
#
# INFO: The locations map above should be too "busy" to really wrap your head around. This is where domain expertise comes into play.
# Your intuition tells you that people are likely to behave differently on weekends:
#
# On Weekends:
#   1. People probably don't go into work
#   2. They probably sleep in late on Saturday
#   3. They probably run a bunch of random errands, since they couldn't during the week
#   4. They should be home, at least during the very late hours, e.g. 1-4 AM
#
# On Weekdays:
#   1. People probably are at work during normal working hours
#   2. They probably are at home in the early morning and during the late night
#   3. They probably spend time commuting between work and home everyday


#
# TODO: Add more filters to the user1 slice you created. Add bitwise logic so that you're only examining records that came in on
# weekends (sat/sun).
#
# .. your code here ..

user1['DOW'] = user1.CallTimestamp.dt.strftime("%a")

user1 = user1[(user1.DOW == 'Sat') | (user1.DOW == 'Sun')]
user1.head()
#
# TODO: Further filter it down for calls that are came in either before 6AM OR after 10pm (22:00:00). You can use < and > to compare
# the string times, just make sure you code them as military time strings, eg: "06:00:00", "22:00:00":
# https://en.wikipedia.org/wiki/24-hour_clock
#
# You might also want to review the Data Manipulation section for this. Once you have your filtered slice, print out its length:
#
# .. your code here ..

user1 = user1[(user1.CallTimestamp < "06:00:00") | (user1.CallTimestamp > "22:00:00")]
user1.head()

In [ ]:
#
# INFO: Visualize the dataframe with a scatter plot as a sanity check. Since you're familiar with maps, you know well that your
# X-Coordinate should be Longitude, and your Y coordinate should be the tower Latitude. Check the dataset headers for proper column
# feature names.
# https://en.wikipedia.org/wiki/Geographic_coordinate_system#Geographic_latitude_and_longitude
#
# At this point, you don't yet know exactly where the user is located just based off the cell phone tower position data; but
# considering the below are for Calls that arrived in the twilight hours of weekends, it's likely that wherever they are bunched up
# is probably near the caller's residence:
fig = plt.figure()
ax = fig.add_subplot(111)
ax.scatter(user1.TowerLon,user1.TowerLat, c='g', marker='o', alpha=0.2)
ax.set_title('Weekend Calls (<6am or >10p)')
#showandtell()  # TODO: Comment this line out when you're ready to proceed

#
# TODO: Run K-Means with a K=1. There really should only be a single area of concentration. If you notice multiple areas that are
# "hot" (multiple areas the usr spends a lot of time at that are FAR apart from one another), then increase K=2, with the goal being
# that one of the centroids will sweep up the annoying outliers; and the other will zero in on the user's approximate home location.
# Or rather the location of the cell tower closest to their home.....
#
# Be sure to only feed in Lat and Lon coordinates to the KMeans algo, since none of the other data is suitable for your purposes.
# Since both Lat and Lon are (approximately) on the same scale, no feature scaling is required. Print out the centroid locations and
# add them onto your scatter plot. Use a distinguishable marker and color.
#
# Hint: Make sure you graph the CORRECT coordinates. This is part of your domain expertise.
#
# .. your code here ..

In [ ]:
#coordinates = "" + centroids[0][1].to_string().split('.')[0] + "°" + centroids[0][1].split('.')[1][0]  + centroids[0][1].split('.')[1][1] + centroids[0][0]
#str.split(' ', 1 )
centroids

difference1 = centroids[0][1] - centroids[1][1]
difference2 = centroids[0][0] - centroids[1][0]

difference1 = 0.5 * difference1
difference2 = 0.5 * difference2

coordinate1 = centroids[0][1] + difference1
coordinate2 = centroids[0][0] + difference2

coordinates = str(coordinate1) + " " + str(coordinate2)
coordinates

#-96°90'92.4672"N  96°56'57.3"W