WeatherPy/WeatherPy.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# WeatherPy\n",
    "\n",
    "\n",
    "#### Observation \n",
    "* As expected, the weather becomes significantly warmer as one approaches the equator (0 Deg. Latitude). More interestingly, is the fact that the southern hemisphere tends to be warmer this time of year than the northern hemisphere. This may be due to the tilt of the earth.\n",
    "* There is no strong relationship between latitude and cloudiness. It is interesting to see that a strong band of cities sits at 0, 80, and 100% cloudiness.\n",
    "* There is no strong relationship between latitude and wind speed. In northern hemispheres there is a flurry of cities with over 20 mph of wind."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "# Dependencies and Setup\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import requests\n",
    "import time\n",
    "import json\n",
    "import scipy.stats as st\n",
    "from scipy.stats import linregress\n",
    "# Import API key\n",
    "from api_keys import weather_api_key\n",
    "# Incorporated citipy to determine city based on latitude and longitude\n",
    "from citipy import citipy\n",
    "# Output File (CSV)\n",
    "output_data_file = \"output_data/cities.csv\"\n",
    "# Range of latitudes and longitudes\n",
    "lat_range = (-90, 90)\n",
    "lng_range = (-180, 180)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generate Cities List"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "574"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# List for holding lat_lngs and cities\n",
    "lat_lngs = []\n",
    "cities   = []\n",
    "# Create a set of random lat and lng combinations\n",
    "lats     = np.random.uniform(lat_range[0], lat_range[1], size=1500)\n",
    "lngs     = np.random.uniform(lng_range[0], lng_range[1], size=1500)\n",
    "lat_lngs = zip(lats, lngs)\n",
    "# Identify nearest city for each lat, lng combination\n",
    "for lat_lng in lat_lngs:\n",
    "    city = citipy.nearest_city(lat_lng[0], lat_lng[1]).city_name    \n",
    "    # If the city is unique, then add it to a our cities list\n",
    "    if city not in cities:\n",
    "        cities.append(city)\n",
    "# Print the city count to confirm sufficient count\n",
    "len(cities)\n",
    "# print(cities)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Perform API Calls\n",
    "* Perform a weather check on each city using a series of successive API calls.\n",
    "* Include a print log of each city as it'sbeing processed (with the city number and city name).\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Beginning Data Retrieval\n",
      "------------------------------\n",
      "processing record 0 of set 1 | albany\n",
      "processing record 1 of set 1 | rikitea\n",
      "processing record 2 of set 1 | miracatu\n",
      "processing record 3 of set 1 | punta arenas\n",
      "processing record 4 of set 1 | santa gertrudis\n",
      "processing record 5 of set 1 | georgetown\n",
      "processing record 6 of set 1 | belushya guba\n",
      "City not found. Skipping...\n",
      "processing record 6 of set 1 | nakambala\n",
      "processing record 7 of set 1 | pahrump\n",
      "processing record 8 of set 1 | carnarvon\n",
      "processing record 9 of set 1 | payyannur\n",
      "processing record 10 of set 1 | raudeberg\n",
      "processing record 11 of set 1 | taolanaro\n",
      "City not found. Skipping...\n",
      "processing record 11 of set 1 | tilichiki\n",
      "processing record 12 of set 1 | busselton\n",
      "processing record 13 of set 1 | hermanus\n",
      "processing record 14 of set 1 | isangel\n",
      "processing record 15 of set 1 | sentyabrskiy\n",
      "City not found. Skipping...\n",
      "processing record 15 of set 1 | katsuura\n",
      "processing record 16 of set 1 | lavrentiya\n",
      "processing record 17 of set 1 | beloha\n",
      "processing record 18 of set 1 | papetoai\n",
      "processing record 19 of set 1 | ghanzi\n",
      "processing record 20 of set 1 | aurangabad\n",
      "processing record 21 of set 1 | barentsburg\n",
      "City not found. Skipping...\n",
      "processing record 21 of set 1 | honningsvag\n",
      "processing record 22 of set 1 | ribeira grande\n",
      "processing record 23 of set 1 | bambous virieux\n",
      "processing record 24 of set 1 | tashtyp\n",
      "processing record 25 of set 1 | nanortalik\n",
      "processing record 26 of set 1 | catamarca\n",
      "processing record 27 of set 1 | hithadhoo\n",
      "processing record 28 of set 1 | ushuaia\n",
      "processing record 29 of set 1 | guerrero negro\n",
      "processing record 30 of set 1 | kamenka\n",
      "processing record 31 of set 1 | mayor pablo lagerenza\n",
      "processing record 32 of set 1 | luderitz\n",
      "processing record 33 of set 1 | srednekolymsk\n",
      "processing record 34 of set 1 | saint george\n",
      "processing record 35 of set 1 | illoqqortoormiut\n",
      "City not found. Skipping...\n",
      "processing record 35 of set 1 | hasaki\n",
      "processing record 36 of set 1 | lorengau\n",
      "processing record 37 of set 1 | hobart\n",
      "processing record 38 of set 1 | torbay\n",
      "processing record 39 of set 1 | lompoc\n",
      "processing record 40 of set 1 | ondorhaan\n",
      "City not found. Skipping...\n",
      "processing record 40 of set 1 | bojaya\n",
      "City not found. Skipping...\n",
      "processing record 40 of set 1 | bredasdorp\n",
      "processing record 41 of set 1 | lolua\n",
      "City not found. Skipping...\n",
      "processing record 41 of set 1 | mataura\n",
      "processing record 42 of set 1 | hofn\n",
      "processing record 43 of set 1 | nikolskoye\n",
      "processing record 44 of set 1 | chuy\n",
      "processing record 45 of set 1 | tarko-sale\n",
      "processing record 46 of set 1 | east london\n",
      "processing record 47 of set 1 | cidreira\n",
      "processing record 48 of set 1 | mandera\n",
      "processing record 49 of set 1 | atuona\n",
      "processing record 50 of set 1 | port elizabeth\n",
      "processing record 0 of set 2 | seoul\n",
      "processing record 1 of set 2 | alenquer\n",
      "processing record 2 of set 2 | kapaa\n",
      "processing record 3 of set 2 | port hardy\n",
      "processing record 4 of set 2 | norman wells\n",
      "processing record 5 of set 2 | longyearbyen\n",
      "processing record 6 of set 2 | samarai\n",
      "processing record 7 of set 2 | sakakah\n",
      "processing record 8 of set 2 | cherskiy\n",
      "processing record 9 of set 2 | butaritari\n",
      "processing record 10 of set 2 | sobolevo\n",
      "processing record 11 of set 2 | saint-philippe\n",
      "processing record 12 of set 2 | amderma\n",
      "City not found. Skipping...\n",
      "processing record 12 of set 2 | mpika\n",
      "processing record 13 of set 2 | saint-augustin\n",
      "processing record 14 of set 2 | new norfolk\n",
      "processing record 15 of set 2 | hilo\n",
      "processing record 16 of set 2 | grand river south east\n",
      "City not found. Skipping...\n",
      "processing record 16 of set 2 | geraldton\n",
      "processing record 17 of set 2 | cagli\n",
      "processing record 18 of set 2 | fortuna\n",
      "processing record 19 of set 2 | pokrovskoye\n",
      "processing record 20 of set 2 | tevaitoa\n",
      "processing record 21 of set 2 | sorland\n",
      "processing record 22 of set 2 | nantucket\n",
      "processing record 23 of set 2 | kiama\n",
      "processing record 24 of set 2 | vilcun\n",
      "processing record 25 of set 2 | solwezi\n",
      "processing record 26 of set 2 | khatanga\n",
      "processing record 27 of set 2 | codrington\n",
      "processing record 28 of set 2 | kefamenanu\n",
      "processing record 29 of set 2 | heyang\n",
      "processing record 30 of set 2 | bonavista\n",
      "processing record 31 of set 2 | castro\n",
      "processing record 32 of set 2 | kununurra\n",
      "processing record 33 of set 2 | grindavik\n",
      "processing record 34 of set 2 | svetlyy\n",
      "processing record 35 of set 2 | ancud\n",
      "processing record 36 of set 2 | kahului\n",
      "processing record 37 of set 2 | gravdal\n",
      "processing record 38 of set 2 | mahebourg\n",
      "processing record 39 of set 2 | cape town\n",
      "processing record 40 of set 2 | barrow\n",
      "processing record 41 of set 2 | ayagoz\n",
      "processing record 42 of set 2 | san patricio\n",
      "processing record 43 of set 2 | salo\n",
      "processing record 44 of set 2 | beringovskiy\n",
      "processing record 45 of set 2 | dickinson\n",
      "processing record 46 of set 2 | sozimskiy\n",
      "processing record 47 of set 2 | mao\n",
      "processing record 48 of set 2 | faanui\n",
      "processing record 49 of set 2 | salamiyah\n",
      "processing record 50 of set 2 | bugiri\n",
      "processing record 0 of set 3 | coquimbo\n",
      "processing record 1 of set 3 | vila do maio\n",
      "processing record 2 of set 3 | manokwari\n",
      "processing record 3 of set 3 | port lincoln\n",
      "processing record 4 of set 3 | khandyga\n",
      "processing record 5 of set 3 | gurskoye\n",
      "City not found. Skipping...\n",
      "processing record 5 of set 3 | cortez\n",
      "processing record 6 of set 3 | anzio\n",
      "processing record 7 of set 3 | attawapiskat\n",
      "City not found. Skipping...\n",
      "processing record 7 of set 3 | peniche\n",
      "processing record 8 of set 3 | port alfred\n",
      "processing record 9 of set 3 | jamestown\n",
      "processing record 10 of set 3 | adrar\n",
      "processing record 11 of set 3 | avera\n",
      "processing record 12 of set 3 | odoyev\n",
      "processing record 13 of set 3 | valparaiso\n",
      "processing record 14 of set 3 | puerto ayora\n",
      "processing record 15 of set 3 | narsaq\n",
      "processing record 16 of set 3 | airai\n",
      "processing record 17 of set 3 | cockburn harbour\n",
      "City not found. Skipping...\n",
      "processing record 17 of set 3 | laguna\n",
      "processing record 18 of set 3 | lulea\n",
      "processing record 19 of set 3 | saint-louis\n",
      "processing record 20 of set 3 | ponta do sol\n",
      "processing record 21 of set 3 | puerto madryn\n",
      "processing record 22 of set 3 | vaitupu\n",
      "City not found. Skipping...\n",
      "processing record 22 of set 3 | fare\n",
      "processing record 23 of set 3 | santa fe\n",
      "processing record 24 of set 3 | mnogovershinnyy\n",
      "processing record 25 of set 3 | vaini\n",
      "processing record 26 of set 3 | marsh harbour\n",
      "processing record 27 of set 3 | rassvet\n",
      "processing record 28 of set 3 | georgiyevka\n",
      "processing record 29 of set 3 | hambantota\n",
      "processing record 30 of set 3 | leningradskiy\n",
      "processing record 31 of set 3 | asau\n",
      "processing record 32 of set 3 | ambodifototra\n",
      "City not found. Skipping...\n",
      "processing record 32 of set 3 | plettenberg bay\n",
      "processing record 33 of set 3 | pevek\n",
      "processing record 34 of set 3 | daru\n",
      "processing record 35 of set 3 | reconquista\n",
      "processing record 36 of set 3 | lagoa\n",
      "processing record 37 of set 3 | kuche\n",
      "City not found. Skipping...\n",
      "processing record 37 of set 3 | talnakh\n",
      "processing record 38 of set 3 | clyde river\n",
      "processing record 39 of set 3 | ashqelon\n",
      "processing record 40 of set 3 | bethel\n",
      "processing record 41 of set 3 | aguimes\n",
      "processing record 42 of set 3 | tabiauea\n",
      "City not found. Skipping...\n",
      "processing record 42 of set 3 | doctor pedro p. pena\n",
      "City not found. Skipping...\n",
      "processing record 42 of set 3 | emba\n",
      "processing record 43 of set 3 | mana\n",
      "processing record 44 of set 3 | kavaratti\n",
      "processing record 45 of set 3 | moron\n",
      "processing record 46 of set 3 | meridian\n",
      "processing record 47 of set 3 | bluff\n",
      "processing record 48 of set 3 | davidson\n",
      "processing record 49 of set 3 | nouadhibou\n",
      "processing record 50 of set 3 | padang\n",
      "processing record 0 of set 4 | lebu\n",
      "processing record 1 of set 4 | tuktoyaktuk\n",
      "processing record 2 of set 4 | morgan city\n",
      "processing record 3 of set 4 | san francisco\n",
      "processing record 4 of set 4 | nemuro\n",
      "processing record 5 of set 4 | hami\n",
      "processing record 6 of set 4 | faya\n",
      "processing record 7 of set 4 | rio gallegos\n",
      "processing record 8 of set 4 | lamu\n",
      "processing record 9 of set 4 | sawakin\n",
      "processing record 10 of set 4 | xuanhua\n",
      "processing record 11 of set 4 | emerald\n",
      "processing record 12 of set 4 | marsa matruh\n",
      "processing record 13 of set 4 | grand gaube\n",
      "processing record 14 of set 4 | upernavik\n",
      "processing record 15 of set 4 | tuatapere\n",
      "processing record 16 of set 4 | rawson\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "processing record 17 of set 4 | high level\n",
      "processing record 18 of set 4 | tasiilaq\n",
      "processing record 19 of set 4 | vardo\n",
      "processing record 20 of set 4 | sechura\n",
      "processing record 21 of set 4 | tautira\n",
      "processing record 22 of set 4 | provideniya\n",
      "processing record 23 of set 4 | mount gambier\n",
      "processing record 24 of set 4 | matara\n",
      "processing record 25 of set 4 | saldanha\n",
      "processing record 26 of set 4 | saskylakh\n",
      "processing record 27 of set 4 | the valley\n",
      "processing record 28 of set 4 | gidole\n",
      "processing record 29 of set 4 | labuhan\n",
      "processing record 30 of set 4 | ilulissat\n",
      "processing record 31 of set 4 | portland\n",
      "processing record 32 of set 4 | erenhot\n",
      "processing record 33 of set 4 | toftir\n",
      "City not found. Skipping...\n",
      "processing record 33 of set 4 | saleaula\n",
      "City not found. Skipping...\n",
      "processing record 33 of set 4 | hamilton\n",
      "processing record 34 of set 4 | rtishchevo\n",
      "processing record 35 of set 4 | enshi\n",
      "processing record 36 of set 4 | hay river\n",
      "processing record 37 of set 4 | yellowknife\n",
      "processing record 38 of set 4 | inverell\n",
      "processing record 39 of set 4 | tiksi\n",
      "processing record 40 of set 4 | victoria\n",
      "processing record 41 of set 4 | ugoofaaru\n",
      "processing record 42 of set 4 | arraial do cabo\n",
      "processing record 43 of set 4 | dukat\n",
      "processing record 44 of set 4 | kailua\n",
      "processing record 45 of set 4 | yenagoa\n",
      "processing record 46 of set 4 | avarua\n",
      "processing record 47 of set 4 | acarau\n",
      "processing record 48 of set 4 | tual\n",
      "processing record 49 of set 4 | kodiak\n",
      "processing record 50 of set 4 | meulaboh\n",
      "processing record 0 of set 5 | corum\n",
      "processing record 1 of set 5 | rexburg\n",
      "processing record 2 of set 5 | toguchin\n",
      "processing record 3 of set 5 | springfield\n",
      "processing record 4 of set 5 | saint anthony\n",
      "processing record 5 of set 5 | key west\n",
      "processing record 6 of set 5 | port macquarie\n",
      "processing record 7 of set 5 | mount pleasant\n",
      "processing record 8 of set 5 | uyuni\n",
      "processing record 9 of set 5 | graaff-reinet\n",
      "processing record 10 of set 5 | akdepe\n",
      "processing record 11 of set 5 | virginia beach\n",
      "processing record 12 of set 5 | karasjok\n",
      "processing record 13 of set 5 | phan thiet\n",
      "processing record 14 of set 5 | palmas bellas\n",
      "processing record 15 of set 5 | severo-kurilsk\n",
      "processing record 16 of set 5 | joshimath\n",
      "processing record 17 of set 5 | chumikan\n",
      "processing record 18 of set 5 | pampas\n",
      "processing record 19 of set 5 | mantua\n",
      "processing record 20 of set 5 | yashkul\n",
      "processing record 21 of set 5 | puerto escondido\n",
      "processing record 22 of set 5 | sulangan\n",
      "processing record 23 of set 5 | olafsvik\n",
      "processing record 24 of set 5 | selma\n",
      "processing record 25 of set 5 | hoquiam\n",
      "processing record 26 of set 5 | kholmogory\n",
      "processing record 27 of set 5 | nanakuli\n",
      "processing record 28 of set 5 | tiznit\n",
      "processing record 29 of set 5 | wewak\n",
      "processing record 30 of set 5 | talara\n",
      "processing record 31 of set 5 | hobyo\n",
      "processing record 32 of set 5 | cayenne\n",
      "processing record 33 of set 5 | malatya\n",
      "processing record 34 of set 5 | chegdomyn\n",
      "processing record 35 of set 5 | yerbogachen\n",
      "processing record 36 of set 5 | mar del plata\n",
      "processing record 37 of set 5 | lahaina\n",
      "processing record 38 of set 5 | mariental\n",
      "processing record 39 of set 5 | havre-saint-pierre\n",
      "processing record 40 of set 5 | fairbanks\n",
      "processing record 41 of set 5 | kondopoga\n",
      "processing record 42 of set 5 | aanekoski\n",
      "processing record 43 of set 5 | mehamn\n",
      "processing record 44 of set 5 | suntar\n",
      "processing record 45 of set 5 | maniitsoq\n",
      "processing record 46 of set 5 | dingle\n",
      "processing record 47 of set 5 | shahr-e babak\n",
      "processing record 48 of set 5 | mitchell\n",
      "processing record 49 of set 5 | naberera\n",
      "processing record 50 of set 5 | lingyuan\n",
      "processing record 0 of set 6 | andenes\n",
      "processing record 1 of set 6 | chokurdakh\n",
      "processing record 2 of set 6 | kulhudhuffushi\n",
      "processing record 3 of set 6 | krasnyy yar\n",
      "processing record 4 of set 6 | san juan\n",
      "processing record 5 of set 6 | vrangel\n",
      "processing record 6 of set 6 | umzimvubu\n",
      "City not found. Skipping...\n",
      "processing record 6 of set 6 | gremyachinsk\n",
      "processing record 7 of set 6 | plyussa\n",
      "processing record 8 of set 6 | esperance\n",
      "processing record 9 of set 6 | kaitangata\n",
      "processing record 10 of set 6 | berlevag\n",
      "processing record 11 of set 6 | san cristobal\n",
      "processing record 12 of set 6 | awbari\n",
      "processing record 13 of set 6 | bolshoye nagatkino\n",
      "processing record 14 of set 6 | rocha\n",
      "processing record 15 of set 6 | sao gabriel da cachoeira\n",
      "processing record 16 of set 6 | huarmey\n",
      "processing record 17 of set 6 | ust-ishim\n",
      "processing record 18 of set 6 | yulara\n",
      "processing record 19 of set 6 | henties bay\n",
      "processing record 20 of set 6 | thompson\n",
      "processing record 21 of set 6 | morant bay\n",
      "processing record 22 of set 6 | klaksvik\n",
      "processing record 23 of set 6 | sao lourenco do sul\n",
      "processing record 24 of set 6 | neiafu\n",
      "processing record 25 of set 6 | karratha\n",
      "processing record 26 of set 6 | alofi\n",
      "processing record 27 of set 6 | pisco\n",
      "processing record 28 of set 6 | kakrala\n",
      "processing record 29 of set 6 | salalah\n",
      "processing record 30 of set 6 | sechelt\n",
      "processing record 31 of set 6 | souillac\n",
      "processing record 32 of set 6 | gizo\n",
      "processing record 33 of set 6 | semey\n",
      "processing record 34 of set 6 | namibe\n",
      "processing record 35 of set 6 | chernyshevskiy\n",
      "processing record 36 of set 6 | muros\n",
      "processing record 37 of set 6 | eureka\n",
      "processing record 38 of set 6 | tuysarkan\n",
      "City not found. Skipping...\n",
      "processing record 38 of set 6 | orangeburg\n",
      "processing record 39 of set 6 | liverpool\n",
      "processing record 40 of set 6 | anchorage\n",
      "processing record 41 of set 6 | mayo\n",
      "processing record 42 of set 6 | almaznyy\n",
      "processing record 43 of set 6 | tubuala\n",
      "processing record 44 of set 6 | bengkulu\n",
      "processing record 45 of set 6 | svetlogorsk\n",
      "processing record 46 of set 6 | colac\n",
      "processing record 47 of set 6 | dikson\n",
      "processing record 48 of set 6 | kankakee\n",
      "processing record 49 of set 6 | poum\n",
      "processing record 50 of set 6 | kralendijk\n",
      "processing record 0 of set 7 | belyy yar\n",
      "processing record 1 of set 7 | tsihombe\n",
      "City not found. Skipping...\n",
      "processing record 1 of set 7 | sai buri\n",
      "processing record 2 of set 7 | thurso\n",
      "processing record 3 of set 7 | ust-omchug\n",
      "processing record 4 of set 7 | rajampet\n",
      "processing record 5 of set 7 | ticuantepe\n",
      "processing record 6 of set 7 | viedma\n",
      "processing record 7 of set 7 | hailar\n",
      "processing record 8 of set 7 | cabo san lucas\n",
      "processing record 9 of set 7 | turayf\n",
      "processing record 10 of set 7 | nizhneyansk\n",
      "City not found. Skipping...\n",
      "processing record 10 of set 7 | troitskoye\n",
      "processing record 11 of set 7 | eldikan\n",
      "City not found. Skipping...\n",
      "processing record 11 of set 7 | korla\n",
      "processing record 12 of set 7 | batsfjord\n",
      "processing record 13 of set 7 | springdale\n",
      "processing record 14 of set 7 | abu dhabi\n",
      "processing record 15 of set 7 | celestun\n",
      "processing record 16 of set 7 | horta\n",
      "processing record 17 of set 7 | tumarbong\n",
      "processing record 18 of set 7 | bintulu\n",
      "processing record 19 of set 7 | muisne\n",
      "processing record 20 of set 7 | severnyy\n",
      "processing record 21 of set 7 | ciudad bolivar\n",
      "processing record 22 of set 7 | rawannawi\n",
      "City not found. Skipping...\n",
      "processing record 22 of set 7 | promyshlennovskiy\n",
      "processing record 23 of set 7 | tura\n",
      "processing record 24 of set 7 | fallon\n",
      "processing record 25 of set 7 | upata\n",
      "processing record 26 of set 7 | imbituba\n",
      "processing record 27 of set 7 | deputatskiy\n",
      "processing record 28 of set 7 | canutama\n",
      "processing record 29 of set 7 | saint-pierre\n",
      "processing record 30 of set 7 | stornoway\n",
      "processing record 31 of set 7 | swan hill\n",
      "processing record 32 of set 7 | handwara\n",
      "City not found. Skipping...\n",
      "processing record 32 of set 7 | auki\n",
      "processing record 33 of set 7 | jumla\n",
      "processing record 34 of set 7 | vila franca do campo\n",
      "processing record 35 of set 7 | aleksandrov gay\n",
      "processing record 36 of set 7 | ambilobe\n",
      "processing record 37 of set 7 | samusu\n",
      "City not found. Skipping...\n",
      "processing record 37 of set 7 | ostrovnoy\n",
      "processing record 38 of set 7 | kavieng\n",
      "processing record 39 of set 7 | kruisfontein\n",
      "processing record 40 of set 7 | bideford\n",
      "processing record 41 of set 7 | katima mulilo\n",
      "processing record 42 of set 7 | turtkul\n",
      "City not found. Skipping...\n",
      "processing record 42 of set 7 | chechen-aul\n",
      "processing record 43 of set 7 | menongue\n",
      "processing record 44 of set 7 | snezhnogorsk\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "processing record 45 of set 7 | iqaluit\n",
      "processing record 46 of set 7 | akdagmadeni\n",
      "processing record 47 of set 7 | burnie\n",
      "processing record 48 of set 7 | tunduru\n",
      "City not found. Skipping...\n",
      "processing record 48 of set 7 | makinsk\n",
      "processing record 49 of set 7 | tynda\n",
      "processing record 50 of set 7 | shimoni\n",
      "processing record 0 of set 8 | giyani\n",
      "processing record 1 of set 8 | pingliang\n",
      "processing record 2 of set 8 | cuiaba\n",
      "processing record 3 of set 8 | zhigansk\n",
      "processing record 4 of set 8 | nisia floresta\n",
      "processing record 5 of set 8 | narrabri\n",
      "processing record 6 of set 8 | derzhavinsk\n",
      "processing record 7 of set 8 | nakusp\n",
      "processing record 8 of set 8 | nagato\n",
      "processing record 9 of set 8 | kamenskoye\n",
      "City not found. Skipping...\n",
      "processing record 9 of set 8 | mount isa\n",
      "processing record 10 of set 8 | bilibino\n",
      "processing record 11 of set 8 | sao jose da coroa grande\n",
      "processing record 12 of set 8 | beyneu\n",
      "processing record 13 of set 8 | qaanaaq\n",
      "processing record 14 of set 8 | sarakhs\n",
      "processing record 15 of set 8 | simbahan\n",
      "processing record 16 of set 8 | aklavik\n",
      "processing record 17 of set 8 | bereznehuvate\n",
      "processing record 18 of set 8 | waipawa\n",
      "processing record 19 of set 8 | palmer\n",
      "processing record 20 of set 8 | praia da vitoria\n",
      "processing record 21 of set 8 | westport\n",
      "processing record 22 of set 8 | saint-joseph\n",
      "processing record 23 of set 8 | nome\n",
      "processing record 24 of set 8 | rio grande\n",
      "processing record 25 of set 8 | conceicao do araguaia\n",
      "processing record 26 of set 8 | kazachinskoye\n",
      "processing record 27 of set 8 | sorvag\n",
      "City not found. Skipping...\n",
      "processing record 27 of set 8 | mutsamudu\n",
      "City not found. Skipping...\n",
      "processing record 27 of set 8 | norden\n",
      "processing record 28 of set 8 | sampit\n",
      "processing record 29 of set 8 | bertoua\n",
      "processing record 30 of set 8 | kieta\n",
      "processing record 31 of set 8 | gat\n",
      "processing record 32 of set 8 | haibowan\n",
      "City not found. Skipping...\n",
      "processing record 32 of set 8 | malanville\n",
      "processing record 33 of set 8 | nueva loja\n",
      "processing record 34 of set 8 | umea\n",
      "processing record 35 of set 8 | ahipara\n",
      "processing record 36 of set 8 | mys shmidta\n",
      "City not found. Skipping...\n",
      "processing record 36 of set 8 | novovasylivka\n",
      "processing record 37 of set 8 | starogard gdanski\n",
      "processing record 38 of set 8 | constitucion\n",
      "processing record 39 of set 8 | soe\n",
      "processing record 40 of set 8 | walvis bay\n",
      "processing record 41 of set 8 | seymchan\n",
      "processing record 42 of set 8 | staryy nadym\n",
      "processing record 43 of set 8 | kangaatsiaq\n",
      "processing record 44 of set 8 | poltavka\n",
      "processing record 45 of set 8 | kawana waters\n",
      "City not found. Skipping...\n",
      "processing record 45 of set 8 | shirgaon\n",
      "processing record 46 of set 8 | boshnyakovo\n",
      "processing record 47 of set 8 | topolovgrad\n",
      "processing record 48 of set 8 | tandur\n",
      "processing record 49 of set 8 | baymak\n",
      "processing record 50 of set 8 | yar-sale\n",
      "processing record 0 of set 9 | abrau-dyurso\n",
      "processing record 1 of set 9 | broken hill\n",
      "processing record 2 of set 9 | olinda\n",
      "processing record 3 of set 9 | basco\n",
      "processing record 4 of set 9 | kungurtug\n",
      "processing record 5 of set 9 | luwuk\n",
      "processing record 6 of set 9 | mizdah\n",
      "processing record 7 of set 9 | gazli\n",
      "processing record 8 of set 9 | guayabal\n",
      "processing record 9 of set 9 | kapuskasing\n",
      "processing record 10 of set 9 | hervey bay\n",
      "processing record 11 of set 9 | katsiveli\n",
      "City not found. Skipping...\n",
      "processing record 11 of set 9 | promyshlennaya\n",
      "processing record 12 of set 9 | bathsheba\n",
      "processing record 13 of set 9 | north platte\n",
      "processing record 14 of set 9 | cabra\n",
      "processing record 15 of set 9 | kachug\n",
      "processing record 16 of set 9 | flinders\n",
      "processing record 17 of set 9 | ouallam\n",
      "processing record 18 of set 9 | baruun-urt\n",
      "processing record 19 of set 9 | nguiu\n",
      "City not found. Skipping...\n",
      "processing record 19 of set 9 | wuchi\n",
      "processing record 20 of set 9 | half moon bay\n",
      "processing record 21 of set 9 | alihe\n",
      "processing record 22 of set 9 | raniganj\n",
      "processing record 23 of set 9 | spornoye\n",
      "processing record 24 of set 9 | tateyama\n",
      "processing record 25 of set 9 | phayao\n",
      "processing record 26 of set 9 | fukue\n",
      "processing record 27 of set 9 | macau\n",
      "processing record 28 of set 9 | san joaquin\n",
      "processing record 29 of set 9 | lawang\n",
      "processing record 30 of set 9 | toora-khem\n",
      "processing record 31 of set 9 | sao filipe\n",
      "processing record 32 of set 9 | xingyi\n",
      "processing record 33 of set 9 | sisimiut\n",
      "processing record 34 of set 9 | jalu\n",
      "processing record 35 of set 9 | dolores\n",
      "processing record 36 of set 9 | polson\n",
      "processing record 37 of set 9 | sorong\n",
      "processing record 38 of set 9 | tlacotepec\n",
      "processing record 39 of set 9 | santa barbara\n",
      "processing record 40 of set 9 | mgandu\n",
      "processing record 41 of set 9 | sitka\n",
      "processing record 42 of set 9 | vestmannaeyjar\n",
      "processing record 43 of set 9 | guhagar\n",
      "processing record 44 of set 9 | kyshtovka\n",
      "processing record 45 of set 9 | goderich\n",
      "processing record 46 of set 9 | epinal\n",
      "processing record 47 of set 9 | cockburn town\n",
      "processing record 48 of set 9 | palabuhanratu\n",
      "City not found. Skipping...\n",
      "processing record 48 of set 9 | port moresby\n",
      "processing record 49 of set 9 | bonga\n",
      "processing record 50 of set 9 | bubaque\n",
      "processing record 0 of set 10 | zatoka\n",
      "processing record 1 of set 10 | santiago del estero\n",
      "processing record 2 of set 10 | dunedin\n",
      "processing record 3 of set 10 | amalapuram\n",
      "processing record 4 of set 10 | elliot lake\n",
      "processing record 5 of set 10 | dondo\n",
      "processing record 6 of set 10 | kem\n",
      "processing record 7 of set 10 | west bay\n",
      "processing record 8 of set 10 | altamont\n",
      "processing record 9 of set 10 | cherkasy\n",
      "processing record 10 of set 10 | priargunsk\n",
      "processing record 11 of set 10 | scottsburgh\n",
      "City not found. Skipping...\n",
      "processing record 11 of set 10 | encarnacion\n",
      "processing record 12 of set 10 | anori\n",
      "processing record 13 of set 10 | nevesinje\n",
      "processing record 14 of set 10 | mastic beach\n",
      "processing record 15 of set 10 | cairns\n",
      "processing record 16 of set 10 | lima duarte\n",
      "processing record 17 of set 10 | dedovichi\n",
      "processing record 18 of set 10 | touros\n",
      "processing record 19 of set 10 | coahuayana\n",
      "processing record 20 of set 10 | synya\n",
      "processing record 21 of set 10 | roald\n",
      "processing record 22 of set 10 | balkanabat\n",
      "processing record 23 of set 10 | san quintin\n",
      "processing record 24 of set 10 | arman\n",
      "processing record 25 of set 10 | hirara\n",
      "processing record 26 of set 10 | nichlaul\n",
      "processing record 27 of set 10 | odweyne\n",
      "processing record 28 of set 10 | moose factory\n",
      "processing record 29 of set 10 | tubruq\n",
      "City not found. Skipping...\n",
      "processing record 29 of set 10 | leh\n",
      "processing record 30 of set 10 | amapa\n",
      "processing record 31 of set 10 | humboldt\n",
      "processing record 32 of set 10 | aasiaat\n",
      "processing record 33 of set 10 | jackson\n",
      "processing record 34 of set 10 | puerto leguizamo\n",
      "processing record 35 of set 10 | gerash\n",
      "processing record 36 of set 10 | opuwo\n",
      "processing record 37 of set 10 | braintree\n",
      "processing record 38 of set 10 | natalio\n",
      "processing record 39 of set 10 | price\n",
      "processing record 40 of set 10 | hammerfest\n",
      "processing record 41 of set 10 | weligama\n",
      "processing record 42 of set 10 | chambas\n",
      "processing record 43 of set 10 | santa maria\n",
      "processing record 44 of set 10 | makakilo city\n",
      "processing record 45 of set 10 | emsdetten\n",
      "processing record 46 of set 10 | lucatan\n",
      "City not found. Skipping...\n",
      "processing record 46 of set 10 | sioux lookout\n",
      "processing record 47 of set 10 | tongzi\n",
      "processing record 48 of set 10 | okato\n",
      "processing record 49 of set 10 | bentiu\n",
      "processing record 50 of set 10 | kysyl-syr\n",
      "processing record 0 of set 11 | huilong\n",
      "processing record 1 of set 11 | oriximina\n",
      "processing record 2 of set 11 | is\n",
      "City not found. Skipping...\n",
      "processing record 2 of set 11 | lao cai\n",
      "processing record 3 of set 11 | bethanien\n",
      "processing record 4 of set 11 | lazaro cardenas\n",
      "processing record 5 of set 11 | sokolo\n",
      "processing record 6 of set 11 | assai\n",
      "processing record 7 of set 11 | boyolangu\n",
      "processing record 8 of set 11 | bafra\n",
      "processing record 9 of set 11 | kenai\n",
      "processing record 10 of set 11 | nabire\n",
      "processing record 11 of set 11 | gallipoli\n",
      "processing record 12 of set 11 | silyanah\n",
      "City not found. Skipping...\n",
      "processing record 12 of set 11 | boa vista\n",
      "processing record 13 of set 11 | zachagansk\n",
      "City not found. Skipping...\n",
      "processing record 13 of set 11 | rochegda\n",
      "processing record 14 of set 11 | broome\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "processing record 15 of set 11 | yomitan\n",
      "City not found. Skipping...\n",
      "processing record 15 of set 11 | bontang\n",
      "processing record 16 of set 11 | bacuit\n",
      "City not found. Skipping...\n",
      "processing record 16 of set 11 | san antonio\n",
      "---------------------------\n",
      "Data Retrieval Complete \n",
      "---------------------------\n"
     ]
    }
   ],
   "source": [
    "# Main Url\n",
    "MainUrl = \"http://api.openweathermap.org/data/2.5/weather?\"\n",
    "# Params \n",
    "Units = \"Imperial\"\n",
    "Api   = weather_api_key\n",
    "X     = cities\n",
    "\n",
    "## Display All The Results; \n",
    "# for city in cities:\n",
    "#     NewUrl  = MainUrl+\"units=\"+units+\"&APPID=\"+Api+\"&q=\"+city\n",
    "#     Weather = requests.get(NewUrl).json()\n",
    "#     #print(Weather)\n",
    "#     print(json.dumps(Weather, indent=4, sort_keys=True))\n",
    "\n",
    "# Create DataFrame For City Data\n",
    "WeatherDf         = pd.DataFrame(cities)\n",
    "WeatherDf.columns = [\"City\"]\n",
    "#WeatherDf.head()\n",
    "\n",
    "# Set Additional Columns; \n",
    "WeatherDf['Lat']        = \"\"\n",
    "WeatherDf['Lng']        = \"\"\n",
    "WeatherDf['Max_Temp']   = \"\"\n",
    "WeatherDf['Humidity']   = \"\"\n",
    "WeatherDf['Cloudiness'] = \"\"\n",
    "WeatherDf['Wind_Speed'] = \"\"\n",
    "WeatherDf['Country']    = \"\"\n",
    "WeatherDf['Date']       = \"\"\n",
    "\n",
    "# Data Retrieval\n",
    "Record = 0\n",
    "set    = 1\n",
    "print(\"Beginning Data Retrieval\")\n",
    "print(\"------------------------------\")\n",
    "\n",
    "for index, row in WeatherDf.iterrows():\n",
    "    city = row['City']\n",
    "    \n",
    "    try:\n",
    "        NewUrl  = MainUrl + \"units=\" + Units + \"&APPID=\" +Api +\"&q=\" + city\n",
    "        Weather = requests.get(NewUrl).json() \n",
    "        print(f\"processing record {Record} of set {set} | {city}\")  \n",
    "        WeatherDf.loc[index, 'Lat']        = Weather['coord']['lat']\n",
    "        WeatherDf.loc[index, 'Lng']        = Weather['coord']['lon']\n",
    "        WeatherDf.loc[index, 'Max_Temp']   = Weather['main']['temp_max']\n",
    "        WeatherDf.loc[index, 'Humidity']   = Weather['main']['humidity']\n",
    "        WeatherDf.loc[index, 'Cloudiness'] = Weather['clouds']['all']\n",
    "        WeatherDf.loc[index, 'Wind_Speed'] = Weather['wind']['speed']\n",
    "        WeatherDf.loc[index, 'Country']    = Weather['sys']['country']\n",
    "        WeatherDf.loc[index, 'Date']       = Weather['dt']\n",
    "        \n",
    "        Record = Record + 1\n",
    "        if Record >= 51:\n",
    "            Record= 0\n",
    "            set = set + 1     \n",
    "    except (KeyError, IndexError):\n",
    "        print(\"City not found. Skipping...\")    \n",
    "print(\"---------------------------\")\n",
    "print(\"Data Retrieval Complete \")\n",
    "print(\"---------------------------\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Convert Raw Data to DataFrame\n",
    "* Export the city data into a .csv.\n",
    "* Display the DataFrame"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Export The City Data Into a Csv\n",
    "WeatherDf.to_csv(\"../output_data/CityData.csv\", index=False)\n",
    "# WeatherDf.dtypes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "City          574\n",
       "Lat           574\n",
       "Lng           574\n",
       "Max_Temp      574\n",
       "Humidity      574\n",
       "Cloudiness    574\n",
       "Wind_Speed    574\n",
       "Country       574\n",
       "Date          574\n",
       "dtype: int64"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "WeatherDf.count()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>City</th>\n",
       "      <th>Lat</th>\n",
       "      <th>Lng</th>\n",
       "      <th>Max_Temp</th>\n",
       "      <th>Humidity</th>\n",
       "      <th>Cloudiness</th>\n",
       "      <th>Wind_Speed</th>\n",
       "      <th>Country</th>\n",
       "      <th>Date</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>albany</td>\n",
       "      <td>42.6</td>\n",
       "      <td>-73.97</td>\n",
       "      <td>57.99</td>\n",
       "      <td>51</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>US</td>\n",
       "      <td>1592022523</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>rikitea</td>\n",
       "      <td>-23.12</td>\n",
       "      <td>-134.97</td>\n",
       "      <td>75.85</td>\n",
       "      <td>81</td>\n",
       "      <td>71</td>\n",
       "      <td>18.01</td>\n",
       "      <td>PF</td>\n",
       "      <td>1592022523</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>miracatu</td>\n",
       "      <td>-24.28</td>\n",
       "      <td>-47.46</td>\n",
       "      <td>71.56</td>\n",
       "      <td>80</td>\n",
       "      <td>100</td>\n",
       "      <td>2.53</td>\n",
       "      <td>BR</td>\n",
       "      <td>1592022523</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>punta arenas</td>\n",
       "      <td>-53.15</td>\n",
       "      <td>-70.92</td>\n",
       "      <td>32</td>\n",
       "      <td>88</td>\n",
       "      <td>64</td>\n",
       "      <td>11.41</td>\n",
       "      <td>CL</td>\n",
       "      <td>1592022523</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>santa gertrudis</td>\n",
       "      <td>19.73</td>\n",
       "      <td>-99.37</td>\n",
       "      <td>54.16</td>\n",
       "      <td>78</td>\n",
       "      <td>91</td>\n",
       "      <td>5.23</td>\n",
       "      <td>MX</td>\n",
       "      <td>1592022524</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              City    Lat     Lng Max_Temp Humidity Cloudiness Wind_Speed  \\\n",
       "0           albany   42.6  -73.97    57.99       51          0          3   \n",
       "1          rikitea -23.12 -134.97    75.85       81         71      18.01   \n",
       "2         miracatu -24.28  -47.46    71.56       80        100       2.53   \n",
       "3     punta arenas -53.15  -70.92       32       88         64      11.41   \n",
       "4  santa gertrudis  19.73  -99.37    54.16       78         91       5.23   \n",
       "\n",
       "  Country        Date  \n",
       "0      US  1592022523  \n",
       "1      PF  1592022523  \n",
       "2      BR  1592022523  \n",
       "3      CL  1592022523  \n",
       "4      MX  1592022524  "
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#  Display The DataFrame\n",
    "WeatherDf.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Inspect the data and remove the cities where the humidity > 100%.\n",
    "----\n",
    "Skip this step if there are no cities that have humidity > 100%. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>City</th>\n",
       "      <th>Lat</th>\n",
       "      <th>Lng</th>\n",
       "      <th>Max_Temp</th>\n",
       "      <th>Humidity</th>\n",
       "      <th>Cloudiness</th>\n",
       "      <th>Wind_Speed</th>\n",
       "      <th>Country</th>\n",
       "      <th>Date</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>96</th>\n",
       "      <td>ancud</td>\n",
       "      <td>-41.87</td>\n",
       "      <td>-73.82</td>\n",
       "      <td>42.01</td>\n",
       "      <td>100.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>5.82</td>\n",
       "      <td>CL</td>\n",
       "      <td>1.592023e+09</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>140</th>\n",
       "      <td>mnogovershinnyy</td>\n",
       "      <td>53.94</td>\n",
       "      <td>139.92</td>\n",
       "      <td>36.82</td>\n",
       "      <td>100.0</td>\n",
       "      <td>100.0</td>\n",
       "      <td>7.49</td>\n",
       "      <td>RU</td>\n",
       "      <td>1.592023e+09</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>472</th>\n",
       "      <td>fukue</td>\n",
       "      <td>32.69</td>\n",
       "      <td>128.84</td>\n",
       "      <td>77.00</td>\n",
       "      <td>100.0</td>\n",
       "      <td>75.0</td>\n",
       "      <td>13.87</td>\n",
       "      <td>JP</td>\n",
       "      <td>1.592023e+09</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>498</th>\n",
       "      <td>zatoka</td>\n",
       "      <td>46.07</td>\n",
       "      <td>30.47</td>\n",
       "      <td>66.20</td>\n",
       "      <td>100.0</td>\n",
       "      <td>75.0</td>\n",
       "      <td>2.24</td>\n",
       "      <td>UA</td>\n",
       "      <td>1.592023e+09</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>231</th>\n",
       "      <td>mount pleasant</td>\n",
       "      <td>32.79</td>\n",
       "      <td>-79.86</td>\n",
       "      <td>73.99</td>\n",
       "      <td>100.0</td>\n",
       "      <td>90.0</td>\n",
       "      <td>6.80</td>\n",
       "      <td>US</td>\n",
       "      <td>1.592023e+09</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                City    Lat     Lng  Max_Temp  Humidity  Cloudiness  \\\n",
       "96             ancud -41.87  -73.82     42.01     100.0        20.0   \n",
       "140  mnogovershinnyy  53.94  139.92     36.82     100.0       100.0   \n",
       "472            fukue  32.69  128.84     77.00     100.0        75.0   \n",
       "498           zatoka  46.07   30.47     66.20     100.0        75.0   \n",
       "231   mount pleasant  32.79  -79.86     73.99     100.0        90.0   \n",
       "\n",
       "     Wind_Speed Country          Date  \n",
       "96         5.82      CL  1.592023e+09  \n",
       "140        7.49      RU  1.592023e+09  \n",
       "472       13.87      JP  1.592023e+09  \n",
       "498        2.24      UA  1.592023e+09  \n",
       "231        6.80      US  1.592023e+09  "
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Make a new DataFrame equal to the city data to drop all humidity outliers by index.\n",
    "# Passing \"inplace=False\" will make a copy of the city_data DataFrame, which we call \"clean_city_data\".\n",
    "WeatherDf2 = pd.read_csv(\"../output_data/CityData.csv\")\n",
    "HumidityDf = WeatherDf2.sort_values([\"Humidity\"], ascending=False)\n",
    "HumidityDf.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It's looks like there are no cities with a humidity over 100, so we can skip the next step!\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>City</th>\n",
       "      <th>Lat</th>\n",
       "      <th>Lng</th>\n",
       "      <th>Max_Temp</th>\n",
       "      <th>Humidity</th>\n",
       "      <th>Cloudiness</th>\n",
       "      <th>Wind_Speed</th>\n",
       "      <th>Country</th>\n",
       "      <th>Date</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>albany</td>\n",
       "      <td>42.6</td>\n",
       "      <td>-73.97</td>\n",
       "      <td>57.99</td>\n",
       "      <td>51</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>US</td>\n",
       "      <td>1592022523</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>rikitea</td>\n",
       "      <td>-23.12</td>\n",
       "      <td>-134.97</td>\n",
       "      <td>75.85</td>\n",
       "      <td>81</td>\n",
       "      <td>71</td>\n",
       "      <td>18.01</td>\n",
       "      <td>PF</td>\n",
       "      <td>1592022523</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>miracatu</td>\n",
       "      <td>-24.28</td>\n",
       "      <td>-47.46</td>\n",
       "      <td>71.56</td>\n",
       "      <td>80</td>\n",
       "      <td>100</td>\n",
       "      <td>2.53</td>\n",
       "      <td>BR</td>\n",
       "      <td>1592022523</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>punta arenas</td>\n",
       "      <td>-53.15</td>\n",
       "      <td>-70.92</td>\n",
       "      <td>32</td>\n",
       "      <td>88</td>\n",
       "      <td>64</td>\n",
       "      <td>11.41</td>\n",
       "      <td>CL</td>\n",
       "      <td>1592022523</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>santa gertrudis</td>\n",
       "      <td>19.73</td>\n",
       "      <td>-99.37</td>\n",
       "      <td>54.16</td>\n",
       "      <td>78</td>\n",
       "      <td>91</td>\n",
       "      <td>5.23</td>\n",
       "      <td>MX</td>\n",
       "      <td>1592022524</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              City    Lat     Lng Max_Temp Humidity Cloudiness Wind_Speed  \\\n",
       "0           albany   42.6  -73.97    57.99       51          0          3   \n",
       "1          rikitea -23.12 -134.97    75.85       81         71      18.01   \n",
       "2         miracatu -24.28  -47.46    71.56       80        100       2.53   \n",
       "3     punta arenas -53.15  -70.92       32       88         64      11.41   \n",
       "4  santa gertrudis  19.73  -99.37    54.16       78         91       5.23   \n",
       "\n",
       "  Country        Date  \n",
       "0      US  1592022523  \n",
       "1      PF  1592022523  \n",
       "2      BR  1592022523  \n",
       "3      CL  1592022523  \n",
       "4      MX  1592022524  "
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clean_city_df = WeatherDf\n",
    "clean_city_df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Extract relevant fields from the data frame\n",
    "clean_city_df = clean_city_df[[\"City\", \"Country\", \"Cloudiness\", \"Humidity\", \"Lat\", \"Lng\", \"Max_Temp\", \"Wind_Speed\"]]\n",
    "# Export the City_Data into a csv\n",
    "clean_city_df.to_csv(\"../output_data/CleanCityData.csv\", index=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plotting the Data\n",
    "* Use proper labeling of the plots using plot titles (including date of analysis) and axes labels.\n",
    "* Save the plotted figures as .pngs."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Latitude vs. Temperature Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Creating X and Y Coordinates \n",
    "X = WeatherDf2[\"Lat\"]\n",
    "Y = WeatherDf2[\"Max_Temp\"]\n",
    "# Display Scatter Plot\n",
    "plt.scatter(X, Y, marker=\"o\", facecolors=\"green\", edgecolor=\"black\", alpha=0.80)\n",
    "# Giving The Title \n",
    "plt.title (\"City Latitude vs. Max Temperature \")\n",
    "plt.ylabel(\"Max Temperature (F)\")\n",
    "plt.xlabel(\"Latitude\")\n",
    "plt.grid  (True)\n",
    "# Save The Plot & Show \n",
    "plt.savefig(\"../output_data/Latitude vs. Temperature Plot.png\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Latitude vs. Humidity Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Define Humidity & Follow Same Way One Cell Above\n",
    "Y = WeatherDf2[\"Humidity\"]\n",
    "plt.scatter(X, Y, marker = \"o\", facecolors = \"green\", edgecolor = \"black\", alpha = 0.80)\n",
    "plt.title  (\"City Latitude vs. Humidity \")\n",
    "plt.ylabel (\"Humidity (%)\")\n",
    "plt.xlabel (\"Latitude\")\n",
    "plt.grid   (True)\n",
    "plt.savefig(\"../output_data/Latitude vs. Humidity Plot.png\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Latitude vs. Cloudiness Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Define Cloudiness & Follow The Same Way One Cell Above\n",
    "Y = WeatherDf2[\"Cloudiness\"]\n",
    "plt.scatter(X, Y, marker = \"o\", facecolors = \"green\", edgecolor = \"black\", alpha=0.80)\n",
    "plt.title  (\"City Latitude vs. Humidity \")\n",
    "plt.ylabel (\"Humidity (%)\")\n",
    "plt.xlabel (\"Latitude\")\n",
    "plt.grid   (True)\n",
    "plt.savefig(\"../output_data/Latitude vs. Cloudiness Plot.png\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Latitude vs. Wind Speed Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Define Wind Speed & Follow The Same Way One Cell Above\n",
    "Y = WeatherDf2[\"Wind_Speed\"]\n",
    "plt.scatter(X, Y, marker = \"o\", facecolors = \"green\", edgecolor = \"black\", alpha = 0.80)\n",
    "plt.title  (\"City Latitude vs. Humidity \")\n",
    "plt.ylabel (\"Humidity (%)\")\n",
    "plt.xlabel (\"Latitude\")\n",
    "plt.grid   (True)\n",
    "plt.savefig(\"../output_data/Latitude vs. Wind Speed Plot.png\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Linear Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# OPTIONAL: Create a function to create Linear Regression plots\n",
    "# Create Northern and Southern Hemisphere DataFrames\n",
    "    \n",
    "def LinearReg (x, y):\n",
    "    print(f\"The r-squared is : {round(st.pearsonr(x, y)[0],2)}\")\n",
    "    (slope, intercept, rvalue, pvalue, stderr) = linregress(x, y)\n",
    "    regress_values = x * slope + intercept\n",
    "    line_eq      = \"y = \" + str(round(slope,2)) + \"x + \" + str(round(intercept,2))\n",
    "    plt.scatter(x, y)\n",
    "    plt.plot(x,regress_values,\"r-\")\n",
    "    return line_eq\n",
    "# Define a fuction for annotating\n",
    "def annotate(line_eq, a, b):\n",
    "    plt.annotate(line_eq, (a,b), fontsize = 15, color = \"red\")\n",
    "\n",
    "NorthernHemDf = WeatherDf2.loc[WeatherDf2[\"Lat\"] >= 0]\n",
    "SouthernHemDf = WeatherDf2.loc[WeatherDf2[\"Lat\"] < 0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "####  Northern Hemisphere - Max Temp vs. Latitude Linear Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The r-squared is : -0.69\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Define Northern Hemisphere, Max Temp vs Lat\n",
    "equation  = LinearReg(NorthernHemDf[\"Lat\"], NorthernHemDf[\"Max_Temp\"])\n",
    "annotate  (equation, 10, 40)\n",
    "# Giving The Title\n",
    "plt.title (\"Northern Hemisphere - Max Temp vs. Latitude Linear Regression\")\n",
    "plt.xlabel(\"Latitude\")\n",
    "plt.ylabel(\"Max_Temp\")\n",
    "# Save the figure\n",
    "plt.savefig(\"../output_data/Northern Hemisphere Max Temp vs Latitude Linear Regression.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "####  Southern Hemisphere - Max Temp vs. Latitude Linear Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The r-squared is : 0.7\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Define Southern Hemisphere & Follow The Same Way One Cell Above\n",
    "equation = LinearReg(SouthernHemDf[\"Lat\"],SouthernHemDf[\"Max_Temp\"])\n",
    "annotate  (equation, -30, 50)\n",
    "plt.title (\"Southern Hemisphere - Max Temp vs. Latitude Linear Regression\")\n",
    "plt.xlabel(\"Latitude\")\n",
    "plt.ylabel(\"Max Temp\")\n",
    "plt.savefig(\"../output_data/Southern Hemisphere Max Temp vs Latitude Linear Regression.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "####  Northern Hemisphere - Humidity (%) vs. Latitude Linear Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The r-squared is : -0.11\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Define Northern Hemisphere, Humidity(%) vs Lat\n",
    "equation   = LinearReg(NorthernHemDf[\"Humidity\"], NorthernHemDf[\"Lat\"])\n",
    "annotate   (equation, 40, 15)\n",
    "plt.title  (\"Northern Hemisphere - Humidity vs. Latitude Linear Regression\")\n",
    "plt.xlabel (\"Latitute\")\n",
    "plt.ylabel (\"Humidity (%)\")\n",
    "plt.savefig(\"../output_data/ Northern Hemisphere Humidity(%) vs Latitude Linear Regression.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "####  Southern Hemisphere - Humidity (%) vs. Latitude Linear Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The r-squared is : 0.14\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Define Southern Hemisphere, Humidity(%) vs Latitude\n",
    "equation   = LinearReg(SouthernHemDf[\"Lat\"], SouthernHemDf[\"Humidity\"])\n",
    "annotate   (equation, -50, 30)\n",
    "plt.title  (\"Southern Hemisphere - Humidity vs. Latitude Linear Regression\")\n",
    "plt.xlabel (\"Latitute\")\n",
    "plt.ylabel (\"Humidity %\")\n",
    "plt.savefig(\"../output_data/Southern Hemisphere Humidity(%) vs Latitude Linear Regression.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "####  Northern Hemisphere - Cloudiness (%) vs. Latitude Linear Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The r-squared is : -0.05\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Define Northern Hemisphere, Cloudiness (%) vs. Latitude\n",
    "equation   = LinearReg(NorthernHemDf[\"Lat\"], NorthernHemDf[\"Cloudiness\"])\n",
    "annotate   (equation, 30, 40)\n",
    "plt.title  (\"Northern Hemisphere - Cloudiness (%) vs. Latitude Linear Regression\")\n",
    "plt.xlabel (\"Latitude\")\n",
    "plt.ylabel (\"Cloudiness (%)\")\n",
    "plt.savefig(\"../output_data/Northern Hemisphere Cloudiness(%) vs Latitude Linear Regression.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "####  Southern Hemisphere - Cloudiness (%) vs. Latitude Linear Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The r-squared is : -0.0\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAbIAAAEWCAYAAAAD/hLkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjMsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+AADFEAAAgAElEQVR4nO2debxd0/XAvyvPCy+mBKHyiMQUVUpIUVGCtmZiaikaQ9H+itaQiqEVjVY0raF+v2oNNVQRU4OGGpqgtEIiIoZEEUOeKcgz5ZHkZf3+2OfmnXffueeee9+59wxvfT+f+7n3nmmvvc8+Z+2119p7i6piGIZhGFmlV9ICGIZhGEZ3MEVmGIZhZBpTZIZhGEamMUVmGIZhZBpTZIZhGEamMUVmGIZhZJpUKTIReVhEfpC0HPVARAaKyKci0tDN62S6zETkNRH5Zg2ue7SIPOb7/6mIbBh3OtUiIjeLyMgqzltRROaIyNq1kKseiMjZInJ1jNcbKyI3xnU975rfEJG5cV6zpxLXuy6MsopMRHYSkX+LyEci8qGIPC4iX+tuwrWofN1BREaIyPyA7TVRFKr6hqquoqrtcV87TYjIaiJyqYi84VXml73/a9VTDq+sX61nmqUQka8CWwF3ef+3EpHnReR9ETnVd1yjiEwTkfUL21T1C+DPwJl1lrlTw6CC87o8V6r6a1X9gbd/kIioiKwQl6wVyhfYkFLVf6nqkCRkKsZ7Vy7xnp9W73389aTliko93nWhikxEVgP+DlwOrAE0A+cDX9RKoDgQR6qszbRTizITkd7AP4GvAHsCqwE7Ah8A28WZVsY4EfirdsxGcCFwBk65nSsiX/K2nwbcoapvFp1/EzBKRFasi7RG3QhR6BNVdRVgLWAqcFud00815V5cmwKo6s2q2q6qbar6gKo+CyAivUTkXBF5XUTeE5EbRGR1b1+Xllih9SMiewJnA9/1WhmzfIdt4Fl9n4jIA/6Wu4js4LVGWkVkloiM8O17WER+JSKPA4uADb1t40pdrxpEZF8RecbXMvpqUf5Gi8izIvKZiFwjIuuIyH1e+g+JSD/v2E4tUa/F+6p33DwROcK3/XERudyziueIyO5FYsVZZqt7cr8tIi0icoFU3yXwfWAgcKCqvqCqy1T1PVUdp6r3BpTtip619pb3ubTwsg6yCLzy29j7vaaI3C0iH4vIk8BGIcdeJyL/JyKTvTKbJiIb+Y7dTEQeFNcDMVdEvuPbt7eIvOCd1yIiZ3jb1xKRv3vl/KGI/CukYbAX8Ijv/2Bgiqq2AP8FBorIQOBg4JLik1V1PrAQ2CGgDAeISJuIrOHbNlSctdcoIhuLyCNeXXpfRCaWkDEyInKMiLzolcmrInKit31l4D5ggPecf+rJ5++NedT7bvX2f71of9CzMtjLwyci8iDu5e6Xp2SdryBPnd5f3rN9hvdsfyQiE0VkJd/+sPfCGBF5xZP3BRE50Lev8HxfIiIfAmPD5FLVpcBfgWYR6R8x/W1EZKaX/m2e7Bf48ykiZ4rIO8C1Ea53plf3P/Gej9297duJyHTvGXxXRC72thffvwHes/qhuB6a433XHisit4rTJZ+I66kYVvaGqWrJD64F/QFwPe7h61e0/1jgZWBDYBXgTuAv3r4RwPyi418Dvun9HgvcWLT/YeAVnAJt8v6P9/Y1e7LsjVPA3/L+9/ed+wau9b8C0Bh2vYC8dpHXd90feL+3Ad4DtgcagFFenlb05e8JYB1P3veAp4GhwIrAFOA879hBgHqyrgx8DAzx9q0LfMX7fTSwFDjVy9N3gY+ANWpUZpOAP3kyrQ08CZwYVk9C6s8twPVljvHXiV965bc20B/4NzDOVw6PFZ2rwMa+tG715N4CaPEfX3TsdcCHOKtwBdyL4RZv38rAm8Ax3r5tgPd99+Nt4Bve737ANt7vC4E/emXYCHwDkID8ruzJ0t+37TZgP2A94B1gTe8+jAgpt7uBU0rsmwIc7/s/Afij9/tm4ByvPqwE7BTxXnYpf9++fXANBwF2wTWKCuUygq7vgbF4zz6+5yBof9AxwH+Ai3HP1M7AJ77rhdb5sPoX9j7wjnsSGIDrnXoR+GHE98Kh3nm9cM/vZ8C6Rc/3ybj61hQgi7+8egPjcXVyhXLpe8e/DvwEVy8PAhYDF/jyuRS4yDu+qcz1huCejwG+e7OR774c5f1eBdihxP17BPgDrv5tDSwAdvfl9XPv/jXgnqsnytXPUItMVT8GdvKEuApY4GnSdbxDjgAuVtVXVfVT4CzgMOmeeXqtqr6kqm24F9PW3vYjgXtV9V51LfsHgelehgtcp6rPq+pSVV1S5npBDPBaIMs/Xv4LHA/8SVWnqbNQr8d1s/pbxper6rvqWtf/Aqap6kx1vo2/4ZRaEMuALUSkSVXfVtXnffveAy5V1SWqOhGYi3t5xFpmuAd0L+CnqvqZqr6HswgOCymzMNbEvfijcgTwS3VW2wJcN/ZR5U4SZzEeDPzCk/s5XOMrjDtV9UntaOEWymxf4DVVvdarR08DdwCHePuXAJuLyGqqutDbX9i+LrCBd5/+pd6TWURf7/sT37YzgB/hlNOpwHBv/6sicpdnfRxadJ1PfNcq5ibgcHBdxrj7d5NPzg1wL6LPVbViv1cxqjpZVV9RxyPAAzhFHjuepfo14Oeq+oWqPgrc4zskSp2vlt+r6luq+qGXZqHOhL4XVPU277xl3vP7Xzp3rb+lqpd79a2tRNrf8d5HbV56h3h1t1z6O+AU5O+9enknTiH7WYZrYH/hpR92vXacQttcRBpV9TVVfcW7zhJgYxFZS1U/VdUnijMhzt+7E3CmV/+eAa6m83P+mHf/2oG/4LrcQynrE1HVF1X1aFVdD9fSHQBc6u0egNP2BV7HFdo6VM87vt+LcJod3MN3aICSWdd3fLEvIex6Qbylqn39H8D/oG8AnF4kw/q4cijwru93W8D/Lumr6me4ltoPgbfFdXlt5jukpeil+HpRmnGV2Qa4VtvbvuP/hLOQuuDrLvrUe8EU80FRWuUIqk8DShzrpz+u3vnz8nqJYwuEldn2RWV2BFDwWx2Meym+7imYgtN9Aq534gFx3WtjSqTb6n2vWtigqq+r6t6qug0uAOSXOOX2W2AisD9wsfi6C73zWwnmduDrIjIAZ7EorlEF8DOc5fSk121zbIlrREZE9hKRJ7yuolZc+dQqmGcAsNB7Zgr473WUOl8tYXWm5HtBRL7v66Zrxb1H/eUT9N4q5lbvfbQO8BywrW9fWPoD6Pr+KE5vgap+HuV6qvoy8FOc5fSeiNzi1TOA43A9Q3NE5CkR2TcgHwOAD1XV35B7HWdJFygu55XKGUcVOfdVdQ6uW2YLb9NbuEwXGIgzU9/Fmc99Cju8VnN/37GVTrv/Jq7b0q9oVlbV8d24ZqW8CfyqSIY+qnpzdy+sqver6rdwD9wcnAVcoNlrWRcYiCv7KPJWUmZv4lpea/mOX01Vv1JC5lV8nzcCDnkI2EOcryQKQfWpkM/i+vQl33ELcPVufd+2IMUahTeBR4rKbBVV/RGAqj6lqgfglPsknAWMqn6iqqer6oa4bsLTpKsvs9BoKXQFB/EL4GpVfRfYEpiuqh8B84GNfcd9GZgVcD6q2oqzir4DfA+4ufAiU9V3VPV4VR2ACzr5g3i+w2oQ58O8A6d01/FetvfilCWUfyaD9ne613Q0IsBZ+P2K6pT/Xkep83FT8r0gIhvgnuWTgDW98nmOjvKBCt5bqvo+7r6NFZGCcg57L71N1/fH+sWXjZofT4abVHUn3LOquG5JVPW/qno47tm4CLg94Nl/C1hDRFb1bRuIcwVUTbmoxc1E5HQRWc/7vz6uy6JgMt4MnCrO+boK8GtcdM1S4CWcJt1HRBqBc3EmaYF3gUESPVLuRmA/EdlDRBpEZCVxjsr1omY2Bq4Cfigi24tjZS9/q5Y9MwRxASH7ezf9C+BTnAlfYG3gFHHO+kNxL7EuwRIBVFRmqvo27gX4O3Fh871EZCMR2aXKrP0F91Dc4dWlXuKCMs4WkaCunptxUXv9xQWs/MLLA7iX9ldEZGtxTvaxPrnbcf7ZsSLSR0Q2x/XrV8PfgU1F5CivvBtF5Gsi8mUR6S0iR4jI6uq6rj/Gu0/inOMbey+MwvZS4cb34nxJnfDkHgFc4W2aB+wmrit/E5w/ExFpxnUDd+m68XETLtjmYDq6FRGRQ333fyHuRRQ1LFq8OrT8g/PBrIjXmBCRvYBv+855F1hTvCCwABbgurb8Y/yeAXYWN/5odZzLAnDWK66r8HzvfuyEazgUqOY90ViUr0pdI2HvhYJPdAG4wBg6DIGq8AyK+3HWdbn0/4O7vyeJyAoicgDlI4ZLXk9EhojIbl4D5nNcL1PhGThSRPqr6jI6egs61S11Ebj/Bi70yvqrOEvur90pk3JK5BOcw2+aiHyGe3CeA0739v8Z97J6FPfQfY5zWuK1Iv8H1//Zgmtl+aMYC+GjH4jI05TBK4ADcNGOC3AvyNER8hAbqjod13/8v7iXwMs4Z2136YUr07dwQQi74MquwDTci+x94Fe4/vEPIshbTZl9H/dyegGXx9upsltGnV/wmzgL80HcC/5JXLfKtIBTLsC9pJ4FZuMCZS7wrvUSrsvtIZyPodi3cxKuq+cdXK/BtVXK/AnuRXwY7n68Q4cjHFxf/msi8jGuK/hIb/smnmyf4l4ef1DVh0skcyVwRFErGeD/gJ9ox3ibs4BTgOeBX6tqocvle7ggmrBhMHd7Mr2rqn7L7Wu45/lT75ifqOo8AHFdjUeEXHNH3Iur+HMKzjJd6Ml2d+EE76V7M87f1yod3VCF/Ytwdfpxb/8O6vxaE3H1YAauceHne7j30ofAecANvutVU+fvLcrP2JBjuxD2XlDVF4Df4epEwcp+vJLrl2ACcIKIrF0m/cW4AI/jcMrlSFx5lqw7Zd5zK9IRbPIOrpF9trdvT+B5r25dBhxW1GVZ4HBcAMhbuLiB87x7XjWigf5oIy2IyNG4qMmdyh1rZAcRuQnn95hU4Xkr4qzTndUF4xhGRYjINFwUa1WNvTSSycFvhpF1VPV7VZ73BbBZ2QMNw8NzDczFWVFHAF8F/pGoUDFjiswwDCPfDMF1/a6CCzQ6xPOH5wbrWjQMwzAyjc1HaBiGYWSa3HQtrrXWWjpo0KCkxTAMw8gUM2bMeF9V+5c/Mr3kRpENGjSI6dOnJy2GYRhGphCRcrPgpB7rWjQMwzAyjSkywzAMI9OYIjMMwzAyjSkywzAMI9OYIjMMwzAyTV2iFkXkz7gFC99T1S28bWvgJgYdhFt99DuqutCbSPUy3JpGi4CjtWPxQiMFTJrZwoT75/JWaxsD+jYxeo8hjBzaXPa8cyfN5uZpb9LuG4TfXMH5cVJtHpIgS7IatcPqQWnqZZFdh5sZ2c8Y4J+qugnwT+8/uBWKN/E+J9CxpIWRAibNbOGsO2fT0tqGAi2tbZx152wmzQxfTujcSbO58Yk3OikxKjg/TqrNQxJkSVajdlg9CKcuikzdcuQfFm0+gI7l6K8HRvq236COJ4C+0rGAnFEjJs1sYfj4KQweM5nh46eUfEAm3D+XtiWdl69qW9LOhPvnhl7/5mmlF8GNcn6cVJuHJMiSrEbtsHoQTpI+snUKE1d632t725vpvBT3fDovg70cETlBRKaLyPQFCxbUVNg8U0lr763WtsBrlNpeoNgSq/T8OKk2D0mQJVmN2mH1IJw0zuxRvNgglFgKXFWvxC1SyLBhw2z24yoJa+0V98EP6NtES8DDM6BvU2gaDSKhyqzc+UFU6zOoNg9JkCVZjfgorturNzXS2raky3FWDxxJWmTvFroMve/CIoHzgfV9x62HW0nUqBGVtPZG7zGEpsaGTtuaGhsYvceQ0DQO3379kvuinF9Md3wG1eYhCbIkqxEPQXX7s8VLaezVuY1v9aCDJC2yu4FRuGWzRwF3+bafJCK34JYz/yhva+ekjUpa/QWLp1JL6IKRWwJ0iVpsEOnU1x81CqsSKzKuPCRBKVkBho+f0i35LQquvkQt76C6vaRd6denkT69V7D7FUBd1iMTkZuBEcBawLvAecAk3GJvA4E3gENV9UMv/P5/cVGOi4BjVLXsbMDDhg1TmzS4OgotQP/D09TYwIUHbVmzB6W7aQ4eMzmwv1mAeeP3iU/QFBLH/UrinvdkKinvetdtEZmhqsNiv3AdqYtFpqqHl9i1e8CxCvy4thIZfpKwUMpZVEGtV4Cxdz8f6CsokDafQS2snu5Yo3Few4hOqfI+/57nu9QP84tWThqDPYwEGDm0ua4vsDC/XHHrtaW1jdG3z6K9XVkWcs20+QyC8nHWnbOB6F2oQcQRwWZRcPWlVLkuXLSEhYtcw6xQPw7etpk7ZrR0sd7SVLfThk1RZSRCqdblgL5NJX0EYUqsuW9T6rrFajX2J6zs6nkNIzpRy7VtSTtT5yzgwoO2pLlvE0LXuh11zGdPwhSZkQhh0XiVWgUCPD5mt1QpMaid1RNHJKNFQ9aXoPIuxVutbYwc2szjY3Zj3vh9OtVtm+EjGFNkRiKMHNpcstVZqVXQSySVrdNaWT1hZVfPaxjRCSrvvk2NgceG1Q+b4SOYukQt1gOLWswPQRFejQ1S1kcG6Yq8s8hAI4xq6kctIhotatHoUdRr3FHY2Cl/1GIvgWVFT3WaIu+yNF7NqD/V1A+LaAzGLDIjEmm0LnryWDKjZ1KL5zAPFpn5yIxIpLFv3iLvjJ6G+TaDsa5FIxJpHHc0eo8hga1Ti7wz8ky9x3xmAbPIjEik0fqx1qlhGGAWmRGRtFo/1jo1DKNHKzKb/bsyVmrstVyR9W1qZOz+X6m6vKzsg4lSLtWUXa2uG8e5UbE6Y5SixyqyWs2Dl0eCIqW+WFpuRFf061nZO6KUSzVlV6vrVnL97mJ1xgijx/rI0hiFl1biLisr+2CilEs1ZVer68ZxblSyXGdsbsTa02MtsjRG4aWVuMvKyj6YKOVSTdnV6rpxnBuVrNYZsyTrQ4+1yNIYhZdW4i6ruK6Xt5ZulHKppuxK7VNYXm7duSe1epb897eXSE3SqDVZtiSzRI9VZDb7d3TiLqs4rpfHWcCjlEs1ZRc283qh3HbdrH/V96QWz1Lx/W0PmIEoC89rVi3JrNFjFZmNQYpO3GUVx/Xy2NKNUi7VlJ3/nCCirIHVXbkrJej+AjSIZOp5tZ6f+mBzLRqZxOZZrI6slFtW5CxHGucoLSYPcy322GAPI9vkcRbweoyTykq5ZUXOctgKCPXBFJmRSdI600i11Cu6LSvllhU5o2Czz9SeHusjM7JN3nyc9fL5ZaXcsiKnkQ7MR2YYKSAvPiEje5iPzDASJi/z7+XFJ2QYSWBdi0ZmydNYMhvXaBjVY4rMyCx5GktmPiHDqB7rWjQyS95mTbDoNsOoDlNkRmYxv5JRCXnxpxpdsa5FI7OYX8mISp78qUZXTJEZmcX8SkZU8uRPNbpiXYtGpjG/khGFvPlTjc4krshE5FTgB7jlkWYDxwDrArcAawBPA0ep6uLEhDQyhflCjGLMn5pvEu1aFJFm4BRgmKpuATQAhwEXAZeo6ibAQuC45KQ0soT5QowgzJ+abxK3yHAyNInIEqAP8DawG/A9b//1wFjgikSkMzJFmC+klFVmFlz+6e4s9HHWEatv8ZOoIlPVFhH5LfAG0AY8AMwAWlV1qXfYfCDwLovICcAJAAMHDqy9wEbqqdQXUq9Z543kqdafGmcdsfpWG5LuWuwHHAAMBgYAKwN7BRwaOLOxql6pqsNUdVj//v1rJ6iRGSpdkdei2Xomk2a2MHz8FAaPmczw8VNCu57jrCNW32pD0uH33wTmqeoCVV0C3AnsCPQVkYK1uB7wVlICGtmiUl+IRbP1PCr1o8ZZR6y+1YakFdkbwA4i0kdEBNgdeAGYChziHTMKuCsh+YyMUenYskotuO5QiRVg1I5KraI460g961tPIlFFpqrTgNtxIfazPXmuBM4EThORl4E1gWsSE9LIHCOHNvP4mN2YN34fHh+zW6jvoV7RbBZNmR4qtYrirCMWPVkbEo9aVNXzgPOKNr8KbJeAOEYPo7vRbFGpJprSqA2VjimLs46kKXoyT9gK0YZRB2wF6PRQHDkIzipK+/RmtZLbVog2coG18qLRnXJKemaJamXPY92Iw8IKKpfuXjPs2iOHNptVH4Ipsh6OjWuJRnfLafQeQwJb0/XwjVQre57rRnfm6Awql9G3zQKBJe26fFs1ZRVW5hbxWJqkoxaNhLFxLdHobjklOVN/tbJb3QgmqFyWLNPlSqxA25J2fjrxmYoiVMPKvJT1rtDjo2DNIuvhWCsvGnGUU1Iz9Vcru9WNYCrNfyXWWViZX/LdrbtY9dWkkUfMIuvh2LiWaGS5nKqVPct5riXV5D+KJTtpZgu9REqm6bfqq00jr5gi6+HYuJZoZLmcqpU9y3muJUHl0thLaGwIVkIFwiy5gm+sPSCK3F/mhTGSpVLqqdaydS32cOo1jiqLFEePHbxtM1PnLMhcOVV7j61uBFOqXArbgqJTIdySC/KNATSIBPpSk46CTRs2jswwAsjqWCMjeaqpO5WOM4yzfto4MsPIKVkYs5PHMV55oBpLNoqFlZceglpgiswwAkh7xF6ex3jlgUojVMuNMwy633fMaLEeAg8L9jCMANIesWdjvPJFuXGGdr/DMYvMMAJIciaOKKTdYjQqJ8yKs/sdjllkhhFAkjNxRCHtFqMRL3a/wzGLzDBKkNRMHFFIu8VoxIvd73BMkRlGBrExXj0Lu9/h2Dgyo0dioeuG4bBxZIaRQSx03TDyReRgDxFZT0TOEJG7ROQpEXlURP4gIvuIiAWNGJnBQpkNI19EsshE5FqgGfg7cBHwHrASsCmwJ3COiIxR1UdrJahhxIWFMhtGvojatfg7VX0uYPtzwJ0i0hsYGJ9YhlE7bMJVw8gXkboEg5SYiGwkIlt6+xer6stxC2cYtcCWJzGMfFFVsIeInA1sCSwTkWWqelS8YqUHi27LHxbKbBj5IqqP7GTgD6pa8JBvparf9fY9Wyvhksai2/JLmgc7G4ZRGVGjDRcC/xCR/bz/D4jIIyLyL+D+2oiWPBbdZhiGkX6i+shuBPYDthaRu4DpwF7Avqo6uobyJYpFtxmGYaSfSnxkGwETgauAcYACvwA+qoFcqcCi29KN+S8Nw4DoPrLrvGObgFdU9XgRGQpcJSJPquq4GsqYGDZRZ3ox/6VhGAWiWmRDVXUrABGZCaCqM4H9ROSAWgmXNBbdll7C/Jd2f4w0Yj0ItSOqIvuHiDwC9AZu8u9Q1btilypFWHRbOjH/pZElrAehtkRSZKp6poisBixT1U/jFEBE+gJXA1vg/G7HAnNx/rhBwGvAd1R1YZzpGtnG/JdG3NTSYrIehNoSKWpRRI4EPi2lxLxZPnaqUobLgH+o6mbAVsCLwBjgn6q6CfBP779hLMdm5zDipGAxtbS2oXRYTJNmtsRyfetBqC1RuxbXBGaKyAxgBrAAN2nwxsAuwPtUoWw8K29n4GhwU10Biz2/2wjvsOuBh4EzK72+kV/Mf2nESa0tJutBqC1RuxYvE5H/BXYDhgNfBdpw1tNRqvpGlelviFOK14rIVjgl+RNgHVV920v7bRFZO+hkETkBOAFg4ECbs7inYf5LIy5qbTFZBHRtiTyOzJue6kHvE2f62wAnq+o0EbmMCiw7Vb0SuBLcCtExymUYVWPRadmj1hZT4f6ff8/zLFy0BIAVV7BlHOMi6ZKcD8xX1Wne/9txiu1dEVkXwPt+LyH5DKMiau1rMWpDvXyuny9Ztvx3a9sSqxsxkagiU9V3gDdFpFBbdgdeAO4GRnnbRgG5DvE38oPNz5lNRg5t5sKDtqS5bxMCNPdt4sKDtozVkra6UTuqWsYlZk4G/uotzvkqcAxOwd4qIscBbwCHJiifYUTGotOyS619rlY3akdFikxEfgJcC3yCG/s1FBijqg9UK4CqPgMMC9i1e7XXNIyksOi0fNMd/6fVjdpRadfisar6MfBtoD/Oehofu1SGkVFsfFt+6a7/0+pG7ahUkYn3vTdwrarO8m0zjB5PPXwtRjJ018dldaN2VOojmyEiDwCDgbNEZFVgWZlzDKNHYePb8kkcPi6rG7WhUkV2HLA18KqqLhKRNXDdi4ZhGLnGfFzppdKuxa8Dc1W11Zt/8VxyvLCmYRhGAfNxpZdKLbIrgK286aR+BlwD3ICbb9EwDCOTRIlGtPk900ulimypqqo3qe9lqnqNiIwqe5ZhGEZKqWStMPNxpZNKuxY/EZGzgKOAySLSADTGL5ZhGEZ9sBk3sk+liuy7wBe48WTvAM3AhNilMgzDqBM240b2qahrUVXfEZE7gE28Te8Df4tdKsOoE3HNVJ+3Ge/zlJ9yebFoxOxTkUUmIsfjZqj/k7epGZgUt1CGUQ/imqk+bzPe5yk/UfJi0YjZp9KuxR/jFtb8GEBV/wsELnppGGknLt9ILXwsk2a2MHz8FAaPmczw8VPqqkTy5DOKkhebcSP7VBq1+IWqLhZxs1KJyAqALWhpZJK4fCNx+1gqiaKrBXnyGUXNi0UjZptKLbJHRORsoElEvgXcBtwTv1iGUXtK+UAq9Y3EdZ0CSVtEcecnSfKUF6M0lSqyMcACYDZwInAvbnYPw8gccflG4vaxJG0R5clnlKe8GKWpNGpxGXCV9zGMTFPJTA1hkW9xz/iQdBRdd/KTtmjHuO6xkW5ENbqLS0SGA2OBDXBKUABV1Q1rIl0FDBs2TKdPn560GEYOKfZZgWvV1yogoN7pxUVW5YZsy95dRGSGqgYtbpwZKu1avAa4GNgJ+BpuZeevxS2UYUSlHtF99fZZZTWKLmnfXnfIsuxG5VGLH6nqfTWRxDAqpF7RfUn4rLIYRZe0b687ZFl2o3KLbKqITBCRr4vINoVPTSQzjDLUqxVtkW/RyHI5ZVl2o3JFtj2uO/HXwO+8z2/jFsowolCvVrRFvkUjy+WUZdmNyqMWd62VIIZRKfWK7rN1qKKR5XLKsuxGxKhFETlSVW8UkdOC9qvqxbFLViFVRy1+/jlcfSgDm/UAABxlSURBVDW0t4NIfT69euUjjSTzQ8+ONDOMuMhD1GJUi2xl73vVWgmSGGefDZdckrQURhWM9D5duKDOgqSBxkYYOND99hR9p++gbXF/1yONvOTn3nuhtZVYOPhguP32eK6VUSIpMlX9k/d9fm3FSYCxY6GhARYvBtX6fJYtszS6k4bRlV13hf79O8rH/x20Le7veqWRl/zEpcQA7rgjvmtllEiKTER+H7ZfVU+JR5wEWG01mGBrgxqGYWSVqFGLM7zPSsA2wH+9z9ZAe8h5hmEYhlFTonYtXg8gIkcDu6rqEu//H4EHaiadYRiGYZSh0nFkA+gc8LGKt80wDMMwEqHSKarGAzNFZKr3fxfcJMKGYWQUm/XdyDqVDoi+VkTuw83wATBGVd+JXyzDMOpB0qtRG0YcVKTIRGRn7+dC73tTEdlUVR/tjhAi0gBMB1pUdV8RGQzcAqwBPA0cpaqLu5OGkRz1avGbZRGdcyfN5qZpb7AsYDRD25J2Tr91FhCszArl3NLaRoMI7ao0Z6S8w+qI1Z/sUmnX4mjf75WA7XDRjLt1U46fAC8Cq3n/LwIuUdVbvICS44ArupmGkQD1avGbZRGdcyfN5sYn3gg9pl01sPyKy7ndGxeVhfIOqyOA1Z8MU1Gwh6ru5/t8C9gCeLc7AojIesA+wNXef8EpxsJQ9espMYGDkX7qNUN9rdKpx3pn9ebmaW9GOi6o/ILKOez4NBFWR2w9smxTqUVWzHycMusOlwI/oyMack2gVVWX+tIIbBKJyAnACQADC9PzGKmiXjPU1yKdvFp5BSsqCsXlV64807x+VzV1JM35MTqo1Ed2OVB4CnrhBkTPqjZxEdkXeE9VZ4jIiMLmgEMDnzxVvRK4EtykwdXKYdSOes1QX4t0yrXSs+JPKfb99BICfWNBFJdfqXIudXyaKFdH6lFP48R8eh1UOo5sOh2zfPwHOFNVj+xG+sOB/UXkNVxwx244C62viBSU7HrAW91Iw0iQeq3zVIt0SrXGC5ZZS2sb6vufxm7HglXplzW4WdiVoPILKuew49NEWB3J2npkQfc1rXWwHlTqI7seuBmnyGYBT3YncVU9S1XXU9VBwGHAFFU9ApgKHOIdNgq4qzvpGMkxcmgzFx60Jc19mxCguW9TTZZZqUU6pVrjDSKZ8acEWZXLgKbGXvTy9X00NfbiyB0Gli0/fzmDKwtCjk8TYXWkXvU0Lsyn15lI65EtP9h1/10PvIbrAlwfGNXd8Hvftc/wwu83pCP8fiZwpKp+EXZ+1euRGUYJSq13VirYQYB54/epk3TRGDxmcqABlkZZjejEeV970npkBX4HfFtV5wKIyKY4C23b7gqiqg8DD3u/X8WF9htGYpRaNbgwhqqYOPwpcfs96uWjhOz5bLImr5963tcsUKkiaywoMQBVfUlEGmOWyTBSQ6HbqZggS627/pRaREmO3mNITWQtJmsRnlmTt5h63desUKkimy4i1wB/8f4fgfOXGUYqqEcru5Sl1t10Svk9wmbZSErWYsJ8NmlUDFmTt5h63desUKki+xHwY+AUXHfso8Af4hbKMKqhnq3sUpZadygVJVlqlo2o1ELWYuo1XjAusiZvEPW4r1mh0qjFL1T1YlU9SFUPVNVLygVhGEa9yHokV5h/I+35KCV7Wn02aZY3j7PJ1JpIikxEZovIs6U+tRbSMKKQ9VZ22BgtSHc+sjYOK63y2viw6ojatbhvTaUwckcSEWFZj+QqlM/pt84KnEYqzfnIms8mrfJm3XeXFFEVWSOwjqo+7t8oIt/AZt0wikgqIiwPkVyF8sliPrLms0mjvFnvVUiKqD6yS4FPAra3efsMYzlJ+aqyNjtDKSrJh/lT8kWafXdpJqpFNkhVu/jCVHW6iAyKVSIj8yTZqkxjK7saouQj62OhjK7koVchCaJaZCuF7LOmgtEJa1XWh6xHaRpdyUuvQr2JapE9JSLHq+pV/o0ichw2INoowlqV9cH8KfkkL70K9SSqIvsp8DcR8c/kMQzoDRxYC8GM7JLWiLC8kfUoTcOIi0iKTFXfBXYUkV3pWBF6sqpOqZlkRqaxVmXtMcvXMBwVTVGlqlNxa4UZhpEwZvkahqPSuRYNw0gRZvkaRoVzLRqGYRhG2jBFZhiGYWQaU2SGYRhGpjFFZhiGYWQaU2SGYRhGprGoRSNXJLF8jGEYyWKKzMgNNomuYfRMrGvRyA02ia5h9ExMkRm5wSbRNYyeiXUtGrnBJtE1skoU3675f0tjFpmRG0bvMYSmxoZO22wSXSPtFHy7La1tKB2+Xf9q31GO6cmYIjNygy1KaBQzaWYLw8dPYfCYyQwfPyWVL/4ovl3z/4ZjXYtGrrBJdI0CWYlijeLbNf9vOGaRGUY3yEKLv6eSFSumlA/Xvz3KMT0ZU2SGUSXmt0g3WbFiovh2zf8bTqJdiyKyPnAD8CVgGXClql4mImsAE4FBwGvAd1R1YVJyliOv0URZy1e95Q1r8ae5nHoKWYlijbJAqi2iGo6oanKJi6wLrKuqT4vIqsAMYCRwNPChqo4XkTFAP1U9M+xaw4YN0+nTp9dc5mKK++HBtZSyHmSQtXwlIe/gMZMJenoEmDd+n5qkaUQna3U4KURkhqoOS1qO7pBo16Kqvq2qT3u/PwFeBJqBA4DrvcOuxym3VJKVfviyqMKvfw3rrw9NTQw6aC8Gz/9vp0NK5uuuu2DLLWGllWDzzWHixM77Fy+G0aPhG9+ApiYQiV38WO/DpElOxmEhz/ayZdz3l1N57aJ92e3lJzvtCmzxt7bCscfCGmvAKqvAXnvByy9XLpsRmVpFsZpfNH2kxkcmIoOAocA0YB1VfRucsgPWLnHOCSIyXUSmL1iwoF6idiIr/fBlGT8exo2DM8+Ee+5hYa/e3DjxXPp/2rlHt0u+HnsMDj4Ydt0V7rsP9tkHDj8cHnig45hFi+Dqq6FPH9hxx5qIH9t9+PxzOO00WGed8OOuvppBX7R22VzSb/Hd78L998Nll8FNN8EHH8Duu8PHH1cmn1ERI4c28/iY3Zg3fh8eH7NbLErM/KLpIxWKTERWAe4AfqqqkZ9sVb1SVYep6rD+/fvXTsAQchFN9PnnTpGddRacdBJ885tcMOp8FPj+03/vdGiXfI0bBzvvDL//vVNmEybAnnvCL3/ZcUzfvvDhh+5FfuCBNcmCX67HrjiWQ2Y/BEAvkcpeMhMmQHOzy0MpFi6Ec85hpYsuBGDNlXuHt/j/8x+n2P/yFzjqKNh/f7jnHliwAK68MrpsGaXeFkwt08tND0zOSFyRiUgjTon9VVXv9Da/6/nPCn6095KSrxwVRxNNngy9esG8eZ23z5vntt99d40kDeHf/3aWwXe+s3zTyfttzcObbs+IVzv8jl3y9cUXMHVqp/MAOOww9/L+6KOObeW6E594AlZYAf78545tH33kujqPPLJsFoLuA0C7avQW8xtvwG9+46ymMH7+cxg+3FlUwIRDtwpv8T/zjMvbLrt0bFtnHfjqV119yDH1tmBqnV5uemByRqKKTEQEuAZ4UVUv9u26Gxjl/R4F3FVv2aJScT/8nnvCgAFw/fWdt193HfTvD3vvXTqx9nZYujT8s2xZ5ZmYMwcaGmCTTTrla8iI7dj4w5bS+XrlFViyBDbbrPP1vvxlJ8dLL0WXYYcdnB/t1FOdQgE45RR3ncsvL3t64T40BCjMyC3m0093SnmbbUof8+yzcO218Nvflr9egc8/d4qsoUjRrrgivPhi9OtkkHpbMLVOLxc9MDkk6Zk9hgNHAbNF5Blv29nAeOBWETkOeAM4NCH5IlHRbBINDXD00U6RnXees1RU3f+jjnIvvFLsvjs88kj49UeNckqxEhYudAEIRS/aLbYYBEs+Z94vvwW9ewefB67r0E+/fp33R+X8852FcuyxcPLJcMMN7n/heqVYuhSAkVuuwxk3u9+iy2hY1vFCe2vhovBrTJ3quj7LKd+TT4Yf/xg23hhee61cjhwbb+yU2ezZLigGoK0NnnsOPvkk2jUySr0tmFqnN3qPIYGRkDaeK1kSVWSq+hguWjmI3espS1059lgXIfjww86vNHUqvP46HHNM+Hl/+lP5F99aa5Xep+qsugIiHcorqOuvMDSjXLdg8f6o5xXTu7dTXttt54JIfvCDcAu1QGPj8p+FOMAJ9/2eCff9fvn2Xx0yGtg3+PylS531d+658KUvlU7nlltg7lzn36qEPfaAwYPhxBOdNbfaajBmjOs69cleK5IcD1hqLFfBdxm3HLUeO1Y8nqtvn0ZU4dSJzzDh/rk2tishkrbIeiYbbggjRriX2q67uu/ttoOvfCX8vI037lASpegV0lv8yCMuvQK77OKUab9+TkG2t3e2ylpbXaRhqZdtwVJqLYreK/wvttSisNVWLoR/1iz4n/+Jds5TTy3/+fDc99j8h0dx01Z78M+NtgNgxRV6ccyRu5U+/6qrnMyjRnXIvnixK4/WVlh5Zbdt9GgX1blsmdteiDj87DNXfquuGnz93r2dEjz88I5u2J12gu9/H6ZMiZbHKkl6vsEgCwY6fJdxy1EPi6nQA5N02RodmCJLih/8AI4/Hi68EO68E373u/LndLdrcdttO730l794N9vMvbRffhmG+B74OXO6+r/8bLSRU3Jz5nQOZJgzxynUTTcNlzWISy/tSPfkk+HRR8OVM3Qa7zViGCwa3YfP1l2P59bdZLkFsk/Ii+WVf81go/nzg62xfv1ctOG++8L8+S40/7TTOh9z2GGuLMLGhW23ndv/0kuu+3ijjdw1d9ghPG/dpJTP6Px7nq+LlVa45um3zqK9qBFWi1lQos6AEYeVajO7pAdTZElx0EHO13LYYa6Ff9hh5c/pbtfiqqsGD/LdcUfX3XXbba57DdzYr3vugRNOKH29FVd0Ft5tt7luswITJ8LXvw6rrx4uazFz58I558AFF7igmG23hUsucUEYFdCndwPn7LM55xxdfnaNSTNbuKLfjvQ7fKPl23o3NDDhlXtZ54O3XZl/+cvOhzh1aueT33nHWVm//jXsFmLxFRDpaCj897/w0EOVd1NWSCnf0MJFS1i4aAlQe0ti5NBmTp34TOC+WvjKyvms47KkLIIxPZgiS4qVVoIjjoD/+z/3MozSDTekRg7llVZyPptx45wFstlmcPHFTsGefHLHcTfc4Px7r7wCG2zgtv38566b9Kc/hZEj4d573ecf/+icxn33uS64Z7wX2u23u++vfc1dq73dWZNDhzqLp1cvF/xx7rlukHWYZdgNJtw/l5ZV14FVOw+AnvHCP9l71VVd3gr4f0NHsMeWW8L223dsP+44Zzn7LbRx41we1lrLBX2MG+caL9/6VpzZ6UIpn1ExtbYk0jTvYVyWVJry1NNJfBxZj2akN/PWsccmKwc4RXbOOa6rc999nf/nwQc7z3CxbJlTOP4uop12ckrpoYdcUMPdd7uZK7797c7X/9GP4NBD4Zpr3P9DD3WfgpXzm9+4F/x113V0JY4eDVtv7RRce+cXT1yUaj0vWtyN9ArDJPx88IFT9nvu6QaPn3GGm+2kxpQaXxdELS2JNM3eHpcllaY89XQSnTQ4TpKaNLhb/OxnrhuuMBjaqDvDx08JbFU3923i8TERugszQLE/6LMvltLatqTLcbXOc1pWU4jznqclT90hD5MGW9diEsydCy+8AFdc4caSmRJLjJ4wLqjYZ1RqVvha5zktq3fHec/TkqeejimyJDjxRJg2zc25d8opSUvTo4lznaestM57+tpWPT3/ecS6Fg0jBmztKyOr5KFr0fq0DCMGbFZ0w0gOU2SGEQM2psgwksMUmWHEgM2KbhjJYYrMMGLAxhQZRnJY1KKRadISKWiRcIaRHKbIjMySttnHbUyRYSSDKbIMkhYrJGls9vHsYnXYiBNTZBkjbVZIklikYDaxOmzEjSmyjNGTrZDiVvzqTY2BcwZapGC6SaIOmwWYb0yRZYyeaoUEteIbG4TGXsKSZR2z01ikYPqpdx02CzD/mCLLGLVaAyntLdagVvySdqVfn0b69F4htXIbXan3Ol5Z6MVI+/OXdkyRZYxazNaehRZrqdZ666IlzPzFtwP3Gemk3isOpL0XIwvPX9qxAdEZY+TQZi48aEua+zYhuDWUujsxbRbmCbSZM/JDLepwGGmvO1l4/tKOWWQZJO7xSmlvsULPWDesJ1HPMXdprztZeP7SjllkRupbrFD/VryRH9Jed7Lw/KUds8iM1LdYC9jMGUa1pLnuZOX5SzOmyDJKnFFONk+gEQc9LfIurvza89d9bIXoDGKrERtpo6fVyTzl11aINhLBopyMtNHT6mSU/E6a2cLw8VMYPGYyw8dPYdLMlnqL2WOwrsUMYlFORtroaXWyXH5tbFh9MUWWQeKaGaGn+TSM2lHv2TriIKj+QzRfVbn8ZmE2kTxhXYsZJI7ViAstxpbWNpSOFqN1fxjVkLUVsoPq/+jbZjH69lmRnoly+e1pFmrSpNYiE5E9gcuABuBqVR2fsEipodCiO+dvs/lssWv1tS1p56cTn2HC/XMjWVZ5bDGeO2k2N097k3ZVGkQ4fPv1mbfgUx5/5cPlxwzfaA0OHTawU6t71836M3XOgpKt8Dgt10kzWxh79/PLZ+3v16eR8/b7SuD1wtIt7GtpbaNBhHZVmousipbWNnoJ+OZUpl+fRvb56rqd8lsu/6Vk6tunEVX4qG0JA/o2cfC2zV2uM/31Dzn91lmd7skFI7cMLZ+wsg7LdyX3JHDuzmVdA99KPRP+SMOCLH4fWS0sVOtBKU0qoxZFpAF4CfgWMB94CjhcVV8odU5PiloE99K+8Yk3AvdFiZ4aPGYyQXdegHnj94lHyDoSVh7FFL/ci/GXX5zRaZNmtjD6tlldXpiNDcKEQ7bq8sIulS7QZZ//WmjwSzkqpfIXJFPYeaXuyZE7DAxUZuXKOiz9Su9JqfofRNgzUUrmg7dt5o4ZLbFFNdYyStKiFmvHdsDLqvqqqi4GbgEOSFimVHHztDdL7osSLZa32QTCyqOYcu94f/nFGY034f65gQpmSbt2uV5YukH7/NfqjhLzp1NMWLpB55W6J6W2lyvrsPQrvSeV1POwY0vJPHXOglhnE+lpUaGVktauxWbAX9vnA9sXHyQiJwAnAAwcOLA+kqWE9jKWdLm++LzNJlCuPCqlUH5x+jrCzinel7SPJSidKGn7jyl1T0ptL5fnculXUjZB9b+xl4C4xkCBcs9EmMxxziaSdH1IO2m1yCRgW5far6pXquowVR3Wv3//OoiVHhokqIg6KNfiTPv8c5VSrjwqpVB+cVquYecU7wtLtx5Wc1AaUdL1H1PqnpTaXq6sy6VfSbkE1f8Jh27FhEO2quiZqFfPRt56UOImrYpsPrC+7/96wFsJyZJKDt9+/ZL7olpWI4c28/iY3Zg3fh8eH7NbZpUYhJdHMb3K6Dx/+cUZjTd6jyGu1V9EY4N0uV5YukH7/NcKSqMSSuUvLN2g80rdk1Lby5V1WPrV3JOg+l/pM1GvaM2sRYXWm7R2LT4FbCIig4EW4DDge8mKlC4KzvJClF6BaiK48kBxecQVtRjnPHiFc6JELUZJt95Ri8UyFUctFp9X6p6Uilosl+egSMFqoxbjol7zJNp8jOGkMmoRQET2Bi7Fhd//WVV/FXZ8T4taNAzDiIM8RC2m1SJDVe8F7k1aDsMwDCPdpNVHZhiGYRiRMEVmGIZhZBpTZIZhGEamMUVmGIZhZJrURi1WiogsAF5PWo4IrAW8n7QQNSLPeQPLX5bJc96ge/nbQFUzPaNEbhRZVhCR6VkPdS1FnvMGlr8sk+e8Qf7zVw7rWjQMwzAyjSkywzAMI9OYIqs/VyYtQA3Jc97A8pdl8pw3yH/+QjEfmWEYhpFpzCIzDMMwMo0pMsMwDCPTmCKrAyIyVkRaROQZ77O3b99ZIvKyiMwVkT2SlLO7iMgZIqIispb3X0Tk917+nhWRbZKWsRpEZJwn/zMi8oCIDPC2Zz5/IjJBROZ48v9NRPr69mW+borIoSLyvIgsE5FhRfsynz8AEdnTy8PLIjImaXkSQVXtU+MPMBY4I2D75sAsYEVgMPAK0JC0vFXmcX3gftyg9LW8bXsD9+FW/N4BmJa0nFXmbTXf71OAP+Ylf8C3gRW83xcBF3m/c1E3gS8DQ4CHgWG+7XnJX4Mn+4ZAby9PmyctV70/ZpElywHALar6harOA14GtktYpmq5BPgZ4I8eOgC4QR1PAH1FZN1EpOsGqvqx7+/KdOQx8/lT1QdUdan39wncauyQk7qpqi+q6tyAXbnIH07ml1X1VVVdDNyCy1uPwhRZ/TjJ6775s4j087Y1A2/6jpnvbcsUIrI/0KKqs4p25SJ/ACLyKxF5EzgC+IW3OTf58zgWZ2FC/vJWTF7yl5d8dIvULqyZNUTkIeBLAbvOAa4AxuFa8uOA3+FeGhJwfCrHQ5TJ39m4LqoupwVsy1z+VPUuVT0HOEdEzgJOAs4jI/krlzfvmHOApcBfC6cFHJ+6vEG0/AWdFrAtlfkrQ17y0S1MkcWEqn4zynEichXwd+/vfJxvqcB6wFsxixYLpfInIlvifAyzRARcHp4Wke3IQf4CuAmYjFNkmchfubyJyChgX2B39RwvZCRvUNG985OZ/JUhL/noFta1WAeK/CYHAs95v+8GDhORFUVkMLAJ8GS95esOqjpbVddW1UGqOgj3YG2jqu/g8vd9L7pvB+AjVX07SXmrQUQ28f3dH5jj/c58/kRkT+BMYH9VXeTblfm6WYa85O8pYBMRGSwivYHDcHnrUZhFVh9+IyJb40z+14ATAVT1eRG5FXgB163zY1VtT0zK+LkXF9n3MrAIOCZZcapmvIgMAZbhojJ/6G3PQ/7+Fxe596BnUT+hqj/MS90UkQOBy4H+wGQReUZV98hL/lR1qYichIsYbgD+rKrPJyxW3bEpqgzDMIxMY12LhmEYRqYxRWYYhmFkGlNkhmEYRqYxRWYYhmFkGlNkhmEYRqYxRWYYAYjIpxUcO0JEdvT9/6GIfN/7fXRhtvwK03+tsIqAYRjh2Dgyw+g+I4BPgX8DqOofffuOxg2A73GzLRhGvTBFZhgREZH9gHNxy2V8gJtAuAk3QLpdRI4ETgZ2xym214BhwF9FpA34OvAibjmR9731sX6rqiNEZE3gZtzA3SfxzaHnXfcUL91pwP9kcfCuYdQK61o0jOg8BuygqkNxy2X8TFVfA/4IXKKqW6vqvwoHq+rtwHTgCG9fW8i1zwMe8659NzAQQES+DHwXGK6qWwPtOAVqGIaHWWSGEZ31gIne3Jm9gXkxXntn4CAAVZ0sIgu97bsD2wJPeVNINQHvxZiuYWQeU2SGEZ3LgYtV9W4RGYFb+btSltLRE7JS0b6g+eIEuF5Vz6oiLcPoEVjXomFEZ3Wgxfs9yrf9E2DVEucU73sNZ2EBHOzb/ihel6GI7AUUFl/9J3CIiKzt7VtDRDaoUn7DyCWmyAwjmD4iMt/3OQ1ngd0mIv8C3vcdew9woIg8IyLfKLrOdcAfvX1NwPnAZd41/AEb5wM7i8jTuEVK3wBQ1RdwASYPiMizwIOAf1kgw+jx2Oz3hmEYRqYxi8wwDMPINKbIDMMwjExjiswwDMPINKbIDMMwjExjiswwDMPINKbIDMMwjExjiswwDMPINP8PDgJw7mZ5cUsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Define Southern Hemisphere - Cloudiness (%) vs. Latitude \n",
    "equation   = LinearReg(SouthernHemDf[\"Lat\"], SouthernHemDf[\"Cloudiness\"])\n",
    "annotate   (equation, -50, 15)\n",
    "plt.title  (\"Southern Hemisphere - Cloudiness (%) vs. Latitude Linear Regression\")\n",
    "plt.xlabel (\"Latitude\")\n",
    "plt.ylabel (\"Cloudiness (%)\")\n",
    "plt.savefig(\"../output_data/Southern Hemisphere Cloudiness(%) vs Latitude Linear Regression.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "####  Northern Hemisphere - Wind Speed (mph) vs. Latitude Linear Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The r-squared is : 0.08\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Define Northern Hemisphere, Wind Speed (mph) vs. Latitude\n",
    "equation   = LinearReg(NorthernHemDf[\"Lat\"], NorthernHemDf[\"Wind_Speed\"])\n",
    "annotate   (equation, 40, 25)\n",
    "plt.title  (\"Northern Hemisphere - Wind Speed (mph) vs. Latitude Linear Regression\")\n",
    "plt.xlabel (\"Latitude\")\n",
    "plt.ylabel (\"Wind Speed (mph)\")\n",
    "plt.savefig(\"../output_data/Northern Hemisphere Wind Speed (mph) vs Latitude Linear Regression.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "####  Southern Hemisphere - Wind Speed (mph) vs. Latitude Linear Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The r-squared is : -0.16\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Define Southern Hemisphere, Wind Speed (mph) vs. Latitude\n",
    "equation   = LinearReg(SouthernHemDf[\"Lat\"], SouthernHemDf[\"Wind_Speed\"])\n",
    "annotate   (equation, -30, 22)\n",
    "plt.title  (\"Northern Hemisphere - Wind Speed (mph) vs. Latitude Linear Regression\")\n",
    "plt.xlabel (\"Latitude\")\n",
    "plt.ylabel (\"Wind Speed (mph)\")\n",
    "plt.savefig(\"../output_data/Southern Hemisphere Wind Speed (mph) vs Latitude Linear Regression.png\")"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernel_info": {
   "name": "python3"
  },
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  },
  "latex_envs": {
   "LaTeX_envs_menu_present": true,
   "autoclose": false,
   "autocomplete": true,
   "bibliofile": "biblio.bib",
   "cite_by": "apalike",
   "current_citInitial": 1,
   "eqLabelWithNumbers": true,
   "eqNumInitial": 1,
   "hotkeys": {
    "equation": "Ctrl-E",
    "itemize": "Ctrl-I"
   },
   "labels_anchors": false,
   "latex_user_defs": false,
   "report_style_numbering": false,
   "user_envs_cfg": false
  },
  "nteract": {
   "version": "0.12.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}