diff --git a/Clustering/1-Visualize/solution/notebook.ipynb b/Clustering/1-Visualize/solution/notebook.ipynb
index 6399e11b..e7c1e85f 100644
--- a/Clustering/1-Visualize/solution/notebook.ipynb
+++ b/Clustering/1-Visualize/solution/notebook.ipynb
@@ -35,7 +35,38 @@
},
{
"cell_type": "code",
- "execution_count": 33,
+ "execution_count": 7,
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "name": "stdout",
+ "text": [
+ "Requirement already satisfied: seaborn in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (0.11.1)\n",
+ "Requirement already satisfied: pandas>=0.23 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from seaborn) (1.1.2)\n",
+ "Requirement already satisfied: matplotlib>=2.2 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from seaborn) (3.1.0)\n",
+ "Requirement already satisfied: numpy>=1.15 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from seaborn) (1.19.2)\n",
+ "Requirement already satisfied: scipy>=1.0 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from seaborn) (1.4.1)\n",
+ "Requirement already satisfied: python-dateutil>=2.7.3 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from pandas>=0.23->seaborn) (2.8.0)\n",
+ "Requirement already satisfied: pytz>=2017.2 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from pandas>=0.23->seaborn) (2019.1)\n",
+ "Requirement already satisfied: pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from matplotlib>=2.2->seaborn) (2.4.0)\n",
+ "Requirement already satisfied: cycler>=0.10 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from matplotlib>=2.2->seaborn) (0.10.0)\n",
+ "Requirement already satisfied: kiwisolver>=1.0.1 in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from matplotlib>=2.2->seaborn) (1.1.0)\n",
+ "Requirement already satisfied: six>=1.5 in /Users/jenlooper/Library/Python/3.7/lib/python/site-packages (from python-dateutil>=2.7.3->pandas>=0.23->seaborn) (1.12.0)\n",
+ "Requirement already satisfied: setuptools in /Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages (from kiwisolver>=1.0.1->matplotlib>=2.2->seaborn) (45.1.0)\n",
+ "\u001b[33mWARNING: You are using pip version 20.2.3; however, version 21.1.1 is available.\n",
+ "You should consider upgrading via the '/Library/Frameworks/Python.framework/Versions/3.7/bin/python3.7 -m pip install --upgrade pip' command.\u001b[0m\n",
+ "Note: you may need to restart the kernel to use updated packages.\n"
+ ]
+ }
+ ],
+ "source": [
+ "pip install seaborn"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
"metadata": {},
"outputs": [
{
@@ -73,7 +104,7 @@
"text/html": "
\n\n
\n \n \n | \n name | \n album | \n artist | \n artist_top_genre | \n release_date | \n length | \n popularity | \n danceability | \n acousticness | \n energy | \n instrumentalness | \n liveness | \n loudness | \n speechiness | \n tempo | \n time_signature | \n
\n \n \n \n 0 | \n Sparky | \n Mandy & The Jungle | \n Cruel Santino | \n alternative r&b | \n 2019 | \n 144000 | \n 48 | \n 0.666 | \n 0.8510 | \n 0.420 | \n 0.534000 | \n 0.1100 | \n -6.699 | \n 0.0829 | \n 133.015 | \n 5 | \n
\n \n 1 | \n shuga rush | \n EVERYTHING YOU HEARD IS TRUE | \n Odunsi (The Engine) | \n afropop | \n 2020 | \n 89488 | \n 30 | \n 0.710 | \n 0.0822 | \n 0.683 | \n 0.000169 | \n 0.1010 | \n -5.640 | \n 0.3600 | \n 129.993 | \n 3 | \n
\n \n 2 | \n LITT! | \n LITT! | \n AYLĂ | \n indie r&b | \n 2018 | \n 207758 | \n 40 | \n 0.836 | \n 0.2720 | \n 0.564 | \n 0.000537 | \n 0.1100 | \n -7.127 | \n 0.0424 | \n 130.005 | \n 4 | \n
\n \n 3 | \n Confident / Feeling Cool | \n Enjoy Your Life | \n Lady Donli | \n nigerian pop | \n 2019 | \n 175135 | \n 14 | \n 0.894 | \n 0.7980 | \n 0.611 | \n 0.000187 | \n 0.0964 | \n -4.961 | \n 0.1130 | \n 111.087 | \n 4 | \n
\n \n 4 | \n wanted you | \n rare. | \n Odunsi (The Engine) | \n afropop | \n 2018 | \n 152049 | \n 25 | \n 0.702 | \n 0.1160 | \n 0.833 | \n 0.910000 | \n 0.3480 | \n -6.044 | \n 0.0447 | \n 105.115 | \n 4 | \n
\n \n
\n
"
},
"metadata": {},
- "execution_count": 33
+ "execution_count": 8
}
],
"source": [
@@ -87,7 +118,7 @@
},
{
"cell_type": "code",
- "execution_count": 37,
+ "execution_count": 9,
"metadata": {},
"outputs": [
{
@@ -104,7 +135,7 @@
},
{
"cell_type": "code",
- "execution_count": 34,
+ "execution_count": 10,
"metadata": {},
"outputs": [
{
@@ -131,7 +162,7 @@
]
},
"metadata": {},
- "execution_count": 34
+ "execution_count": 10
}
],
"source": [
@@ -140,7 +171,7 @@
},
{
"cell_type": "code",
- "execution_count": 35,
+ "execution_count": 11,
"metadata": {},
"outputs": [
{
@@ -180,7 +211,7 @@
"text/html": "\n\n
\n \n \n | \n release_date | \n length | \n popularity | \n danceability | \n acousticness | \n energy | \n instrumentalness | \n liveness | \n loudness | \n speechiness | \n tempo | \n time_signature | \n
\n \n \n \n count | \n 530.000000 | \n 530.000000 | \n 530.000000 | \n 530.000000 | \n 530.000000 | \n 530.000000 | \n 530.000000 | \n 530.000000 | \n 530.000000 | \n 530.000000 | \n 530.000000 | \n 530.000000 | \n
\n \n mean | \n 2015.390566 | \n 222298.169811 | \n 17.507547 | \n 0.741619 | \n 0.265412 | \n 0.760623 | \n 0.016305 | \n 0.147308 | \n -4.953011 | \n 0.130748 | \n 116.487864 | \n 3.986792 | \n
\n \n std | \n 3.131688 | \n 39696.822259 | \n 18.992212 | \n 0.117522 | \n 0.208342 | \n 0.148533 | \n 0.090321 | \n 0.123588 | \n 2.464186 | \n 0.092939 | \n 23.518601 | \n 0.333701 | \n
\n \n min | \n 1998.000000 | \n 89488.000000 | \n 0.000000 | \n 0.255000 | \n 0.000665 | \n 0.111000 | \n 0.000000 | \n 0.028300 | \n -19.362000 | \n 0.027800 | \n 61.695000 | \n 3.000000 | \n
\n \n 25% | \n 2014.000000 | \n 199305.000000 | \n 0.000000 | \n 0.681000 | \n 0.089525 | \n 0.669000 | \n 0.000000 | \n 0.075650 | \n -6.298750 | \n 0.059100 | \n 102.961250 | \n 4.000000 | \n
\n \n 50% | \n 2016.000000 | \n 218509.000000 | \n 13.000000 | \n 0.761000 | \n 0.220500 | \n 0.784500 | \n 0.000004 | \n 0.103500 | \n -4.558500 | \n 0.097950 | \n 112.714500 | \n 4.000000 | \n
\n \n 75% | \n 2017.000000 | \n 242098.500000 | \n 31.000000 | \n 0.829500 | \n 0.403000 | \n 0.875750 | \n 0.000234 | \n 0.164000 | \n -3.331000 | \n 0.177000 | \n 125.039250 | \n 4.000000 | \n
\n \n max | \n 2020.000000 | \n 511738.000000 | \n 73.000000 | \n 0.966000 | \n 0.954000 | \n 0.995000 | \n 0.910000 | \n 0.811000 | \n 0.582000 | \n 0.514000 | \n 206.007000 | \n 5.000000 | \n
\n \n
\n
"
},
"metadata": {},
- "execution_count": 35
+ "execution_count": 11
}
],
"source": [
@@ -189,7 +220,7 @@
},
{
"cell_type": "code",
- "execution_count": 43,
+ "execution_count": 13,
"metadata": {},
"outputs": [
{
@@ -200,19 +231,23 @@
]
},
"metadata": {},
- "execution_count": 43
+ "execution_count": 13
},
{
"output_type": "display_data",
"data": {
"text/plain": "",
- "image/svg+xml": "\n\n\n\n",
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f30W3y87OvmQg79u3ryTnRznEzxgAAFzLrhjIkpSamqqRI0fqgQceUI8ePTR79uyi7+Xm5srX11fe3t7Kzc296HIfH59L3l9oaGgxxtxWjNvAWYr3MwYAAChbSUlJl7z8ikexOHnypIYMGaLx48erT58+kqTmzZtr69atkqRNmzapbdu2atOmjRISEmS1WpWSkiKr1cryCgAAAFyTrrgFefHixcrKytKiRYu0aNEiSdLEiRM1Y8YMzZs3T40aNVJUVJRcXV3Vtm1b9e/fX1arVXFxcWUyPAAAAFDSLDabzVZWD5aUlKTw8PA/fbvw8W+VwjQoLUmzBzt7BAAAgKu6XJtyohAAAADAQCADAAAABgIZAAAAMBDIAAAAgIFABgAAAAwEMgAAAGAgkAEAAAADgQwAAAAYCGQAAADAQCADAAAABgIZAAAAMBDIAAAAgIFABgAAAAwEMgAAAGAgkAEAAAADgQwAAAAYCGQAAADAQCADAAAABgIZAAAAMBDIAAAAgIFABgAAAAwEMgAAAGAgkAEAAAADgQwAAAAYCGQAAADAQCADAAAABgIZAAAAMBDIAAAAgIFABgAAAAwEMgAAAGAgkAEAAAADgQwAAAAYCGQAAADAQCADAAAABgIZAAAAMBDIAAAAgIFABgAAAAwEMgAAAGAgkAEAAAADgQwAAAAYCGQAAADAQCADAAAABgIZAAAAMBDIAAAAgIFABgAAAAwEMgAAAGAgkAEAAAADgQwAAAAYCGQAAADAQCADAAAABgIZAAAAMPyhQN69e7cGDRokSdq7d686d+6sQYMGadCgQfr0008lSQsWLFCfPn00YMAA7dmzp/QmBgAAAEqR29WusHTpUq1du1bVqlWTJCUnJ+uRRx7RkCFDiq6TnJysxMRErV69WqmpqRo9erTi4+NLb2oAAACglFx1C3L9+vX18ssvF3393XffaePGjRo4cKBiY2OVk5OjpKQkRUREyGKxKCgoSIWFhcrIyCjVwQEAAIDScNUtyFFRUTp69GjR12FhYerbt69atmypV155RQsXLpSPj4/8/PyKruPl5aXs7GwFBAT87v727dtXQqOjvOJnDAAArmVXDeTf6tq1q3x9fYs+nz59um6//Xbl5uYWXSc3N1c+Pj6XvH1oaGgxxtxWjNvAWYr3MwYAAChbSUlJl7z8Tx/FYujQoUU74X399ddq0aKF2rRpo4SEBFmtVqWkpMhqtV5y6zEAAABQ3v3pLchTp07V9OnT5e7ursDAQE2fPl3e3t5q27at+vfvL6vVqri4uNKYFQAAACh1FpvNZiurB0tKSlJ4ePifvl34+LdKYRqUlqTZg509AgAAwFVdrk05UQgAAABgIJABAAAAA4EMAAAAGAhkAAAAwEAgAwAAAAYCGQAAADAQyAAAAICBQAYAAAAMBDIAAABgIJABAAAAA4EMAAAAGAhkAAAAwEAgAwAAAAYCGQAAADAQyAAAAICBQAYAAAAMBDIAAABgIJABAAAAA4EMAAAAGAhkAAAAwEAgAwAAAAYCGQAAADAQyAAAAICBQAYAAAAMBDIAAABgIJABAAAAA4EMAAAAGAhkAAAAwEAgAwAAAAYCGQAAADAQyAAAAICBQAYAAAAMBDIAAABgIJABAAAAA4EMAAAAGAhkAAAAwEAgAwAAAAYCGQAAADAQyAAAAICBQAYAAAAMBDIAAABgIJABAAAAA4EMAAAAGAhkAAAAwEAgAwAAAAYCGQAAADAQyAAAAICBQAYAAAAMBDIAAABgIJABAAAAA4EMAAAAGP5QIO/evVuDBg2SJP3888+6//779cADD2jKlCmyWq2SpAULFqhPnz4aMGCA9uzZU3oTAwAAAKXoqoG8dOlSTZo0SXl5eZKk5557TjExMXr33Xdls9m0YcMGJScnKzExUatXr9a8efM0bdq0Uh8cAAAAKA1XDeT69evr5ZdfLvo6OTlZ7du3lyRFRkZqy5YtSkpKUkREhCwWi4KCglRYWKiMjIzSmxoAAAAoJW5Xu0JUVJSOHj1a9LXNZpPFYpEkeXl5KTs7Wzk5OfLz8yu6juPygICA393fvn37SmJulGP8jAEAwLXsqoH8Wy4uv250zs3Nla+vr7y9vZWbm3vR5T4+Ppe8fWhoaDHG3FaM28BZivczBgAAKFtJSUmXvPxPH8WiefPm2rp1qyRp06ZNatu2rdq0aaOEhARZrValpKTIarVecusxAAAAUN796S3IEyZM0OTJkzVv3jw1atRIUVFRcnV1Vdu2bdW/f39ZrVbFxcWVxqwAAABAqbPYbDZbWT1YUlKSwsPD//Ttwse/VQrToLQkzR7s7BEAAACu6nJtyolCAAAAAAOBDAAAABgIZAAAAMBAIAMAAAAGAhkAAAAwEMgAAACAgUAGAAAADH/6RCFAeXPkmVbOHgF/Qv24b509AgAAV8QWZAAAAMBAIAMAAAAGAhkAAAAwEMgAAACAgUAGAAAADAQyAAAAYCCQAQAAAAOBDAAAABgIZAAAAMBAIAMAAAAGAhkAAAAwEMgAAACAgUAGAAAADAQyAAAAYCCQAQAAAAOBDAAAABgIZAAAAMBAIAMAAAAGAhkAAAAwEMgAAACAgUAGAAAADAQyAAAAYCCQAQAAAAOBDAAAABgIZAAAAMBAIAMAAAAGAhkAAAAwEMgAAACAgUAGAAAADAQyAAAAYCCQAQAAAAOBDAAAABgIZAAAAMBAIAMAAAAGAhkAAAAwEMgAAACAgUAGAAAADAQyAAAAYCCQAQAAAAOBDAAAABgIZAAAAMBAIAMAAAAGAhkAAAAwuBX3hvfdd5+8vb0lSddff7369++vf/3rX3J1dVVERIRGjRpVYkMCQHHc/PLNzh4Bf9Lm0ZudPQIAFC+Q8/LyZLPZtGLFiqLLevbsqZdffln16tXTP/7xD+3du1fNmzcvsUEBAACAslCsJRb79+/XuXPnNGTIEA0ePFjbtm1Tfn6+6tevL4vFooiICG3ZsqWkZwUAAABKXbG2IFetWlVDhw5V3759dfjwYT366KPy9fUt+r6Xl5d++eWXS9523759xZsU14yy/hl7lemj4a/iNQBXwvMDQHlQrEBu2LChgoODZbFY1LBhQ/n4+OjMmTNF38/Nzb0omE2hoaHFeMRtxRkTTlK8n3HxHSnTR8NfVabPj/Vl91AoGWX9+gGgcktKSrrk5cVaYvHBBx9o5syZkqS0tDSdO3dOnp6eOnLkiGw2mxISEtS2bdviTwsAAAA4SbG2IPfp00dPP/207r//flksFj377LNycXHRuHHjVFhYqIiICN14440lPSsAAABQ6ooVyB4eHpo7d+7vLl+1atVfHggAAABwJk4UAgAAABgIZAAAAMBAIAMAAAAGAhkAAAAwEMgAAACAgUAGAAAADAQyAAAAYCCQAQAAAAOBDAAAABgIZAAAAMBAIAMAAAAGAhkAAAAwEMgAAACAgUAGAAAADAQyAAAAYCCQAQAAAAOBDAAAABgIZAAAAMBAIAMAAAAGAhkAAAAwEMgAAACAgUAGAAAADAQyAAAAYCCQAQAAAAOBDAAAABgIZAAAAMDg5uwBAABwhi8jb3H2CPgTbtn0pbNHQCXCFmQAAADAQCADAAAABgIZAAAAMBDIAAAAgIFABgAAAAwEMgAAAGAgkAEAAAADgQwAAAAYCGQAAADAQCADAAAABgIZAAAAMBDIAAAAgIFABgAAAAwEMgAAAGAgkAEAAAADgQwAAAAYCGQAAADAQCADAAAABjdnDwAAAFDeLBj7sbNHwJ8wam6PEr0/tiADAAAABgIZAAAAMBDIAAAAgIFABgAAAAwEMgAAAGAgkAEAAABDiR7mzWq1aurUqTpw4IA8PDw0Y8YMBQcHl+RDAAAAAKWqRLcgr1+/Xvn5+Xr//fc1duxYzZw5syTvHgAAACh1FpvNZiupO3vuuecUFhamu+++W5LUuXNnffXVV0XfT0pKKqmHAgAAAP6y8PDw311WoksscnJy5O3tXfS1q6urLly4IDc3t8sOAAAAAJQnJbrEwtvbW7m5uUVfW63WojgGAAAArgUlGsht2rTRpk2bJEm7du3SDTfcUJJ3DwAAAJS6El2D7DiKxffffy+bzaZnn31WjRs3Lqm7BwAAAEpdiQYynOOdd95R9erVdc899zh7FAAAgGseJwq5xu3fv1+SlJycrPXr1zt5GpQFq9Va9Dl/3+K3zOfHpb4GLqewsNDZI6CcqoyvIwTyNez111/X+vXr1bRpU4WEhGj79u1EcgVntVrl4mL/z7awsFB5eXmSCGXYFRYWysXFRTabTc8995ySk5OLvgauxGq1ytXVVVarVS+88IJWrlypLVu2OHsslAOO15UTJ07ov//9b9HvHali/+5xnTp16lRnD4HiqVmzphISEnTu3Dk1bdpUbm5u+vbbb5WXl6dGjRo5ezyUMEccW61WjRw5Ups3b1ZCQoLq1q2rmjVrOns8OJnNZit6frz00kvas2ePEhMT1aRJE9WqVUs2m00Wi8XZY6Iccjx3bDabpk6dqrNnz6pOnTp68cUXFRQUpIYNGzp7RDiRi4uL0tLS9OSTT8rd3V1VqlRRrVq1ir5XURHI1yDHX3O+vr4KCwvThg0blJ2drWbNmsnDw0PffPONLBaLGjRo4OxRUYIsFotsNpuWLVumgIAADRo0SGfPntVHH32kDh06qFq1as4eEU7kiN8xY8bI399fMTExcnNz0/Lly9W8eXMFBgYSybgkx3Ni/vz5yszM1HPPPacWLVqoZs2aSkpKUkREhJMnhDMcPXpUvr6+slqtWrhwoRo0aKCePXvq5Zdf1sGDB3X+/PkK/cdTxU3/CsrxNtjx48f1/PPP68svv1RsbKzS0tK0a9cu1a5dW+3atVOrVq2cPSpKiPkW1tKlS/XZZ5/pjjvuUL169dSjRw8FBgbK1dXViRPCmX67NrBmzZoaOHCggoKCdN999ykwMFBz5szRDz/8QBzjIr9dc1y1alVduHBBe/fulSRVqVJFGRkZFfptdFxaVlaW3nrrLb399tv68ssvVb16dRUUFGjOnDkaPny4CgoKdObMGWePWaoI5GuMi4uLTp48qfHjx+u6667T/Pnz9eabb2rSpEn68ccf9eOPP6pr166qUaOGs0dFCSgsLCyKmvz8fA0aNEihoaFat26dzp8/ryNHjmjXrl3KyMhw8qRwBseyG5vNph9//FGS/TmzdOlSSfadeC9cuKCgoCB98803zhwV5Yy55vjVV1/V0qVLFRERoZo1a+rDDz/UggULtGLFCvXs2ZM/rCohX19ftW3bVnPnztXu3bs1YsQIDRkyRP369VNGRoYOHDhQ4c+OzGHeriE2m002m00vvPCCrr/+evXv31+TJk3SunXr1L9/fw0YMEBVq1ZlPWoFYa45jomJkSR5eXlpwIABWr58uXJyclS1alUNGDBAN910E2+fV1JWq1XR0dE6c+aMgoKCNGfOHD322GMKDAzUrl27NHv2bG3dulWpqakaN26cs8dFOWKz2RQdHa0bbrhBNptNBQUF6tixo3766Sdt2rRJd999t/r06ePsMVGGCgsLi96R/OGHH/T555/rm2++Ue/evdWrVy+9++67OnDggAYOHFjhTwbHGuRrgNVqlcViKXriBgYG6vjx41q8eLHi4uJUs2ZNrV27VgMHDlRAQICzx0UJccRubGysGjZsqClTpigpKUk7duxQXFycdu7cKQ8PDz388MMXXR8V37Fjx+Tr61t0QqYWLVpoxowZevvtt5WcnKxZs2YpMjJStWrVUkZGhuLj4zVixAheHyBJRX9Mb9q0Sfv379czzzyjTp066YcfftDWrVs1btw4nTp1SgcOHFBgYKBq1arF60sl4HhXIS0tTXPmzFGtWrXUs2dPNWjQQMuWLdNPP/2koKAgDR06tGgnvYqMJRblmM1m07Fjx+Ti4qL09HQ9+eSTevfdd5WVlaVbbrlFjRo10scff6yNGzdq4cKF8vX1dfbIKAHmmtL8/HwVFBQoMjJSkjRhwgSlpKTo1KlTmjhxoo4fP64XX3yR45dWIps2bdLhw4clSd9++6127Nghd3d3SdKKFSv03XffKTo6Wi4uLrJYLEpOTlZcXBxnNcA3X3EAABZ4SURBVEXR64Qjdps0aSIvLy8lJiZKkjp27KizZ8/qwoULGjp0qBo0aKC6desSx5WEozWeeOIJ+fj4aNmyZYqPj1erVq309NNP66efftKNN95Y9HpT0bHEohyLj4/Xxx9/rCeeeELLly9XUFCQqlWrppycHDVp0kSnT5/Wxo0bFRcXp5CQEGePixJgrik9evSovL29tXLlStWpU0dt27aV1WrV448/rtmzZ6tx48Y6e/assrOzVbt2bWePjjJy+vRp+fv76z//+Y88PT1VWFiotWvXqlu3burevbskadeuXWrdurWki98yReVlLtmaOHGigoODdf78efn5+SklJUVubm5KTEzUyJEj1aVLF2ePCycoLCzUG2+8oeuvv17dunXT8OHDdfToUd1111164IEHVL169Ur1WkIgl3MLFizQV199pTZt2mjChAn65ZdftHHjxqInbfPmzeXh4eHsMVECHCFjs9k0ZswYnT17Vi1atFB6eroCAwN16tQpHT16VMOGDdMtt9yiCxcuyM3Nzdljo4yYoXvu3Dm98MILCggIUFhYmAoKCrR69WrdeeeduvfeeyWJNen4Hcc+LOfPn1f79u21efNmFRQUqHfv3kpOTlbLli2L/rBC5fDbP6C3b9+uHTt2aP/+/Zo5c6YWLlyoQ4cOadq0afL393fipGWPNcjlkOM4x5LUvn175efnKzExUa1atVKDBg3k4+Oj7OxshYeHy8fHx8nToqQ4thw7jjc5ZswYWa1WZWZmqkuXLurevbtuvvnmol9gFfkA7biYecSB6dOnq3bt2urQoYP27dun06dPKyAgQKGhoQoODi7aSZc4xm8988wzSktL05QpUxQSEiJ/f3+lpqbq73//u8LCwlSnTh1nj4gyZB429s0339Tu3bvVvn17NWrUSNu2bVO1atX06aefKjY2VnXr1nX2uGWO37DljOMJm5qaqpkzZ2rOnDmKiIhQWFhY0cG5GzVqpH79+nEotwrCXHP8f//3f1qyZIkaN24sf39/3XzzzTp16pQ8PT0VGBhYoQ/Kjstz/PEUHR2tOnXq6Oeff1ZeXp7CwsKUlZWl5ORktW7dWqGhoc4eFeVYx44dderUKSUlJUmSzp49qz179igzM5P9GCohx2FjJ02apJCQEB0/flyPPfaY8vLyVKNGDS1ZskRTp06ttL932IJczlgsFp05c0Zjx45V7969tX//fq1Zs0aPP/64UlJStGHDBt12222VZpF8RWcuqzhx4oRatWqloKAgLV68WDfffLMyMzO1atUq3XbbbRy+rxJyHMFGknbv3q09e/ZoyJAhWrp0qX744QedO3dO9913n5o0aVIpt/Dg8swlNo53JR075b322ms6ePCgvvrqKz300EO64YYbeEeqknE8P7744gt5eXkpIiJCa9euVdeuXZWVlaVhw4YpKiqqUr+rwALGcsJ8Mfv+++/VpEkTNW7cWG+88YZuvfVWbdiwQWPGjNHp06eJ4wrE8bZ5dHS0fH19tX37di1atEj9+vXTgw8+qFatWmnq1KlsGayEzD+ejh8/rtq1a8vT01Mffvihhg0bpipVqmju3LkaNGiQvL29nT0uyhFzXWl+fr48PDyKdtKLioqSh4eHFi9erB49enAa6UrG8dwoKCiQh4eHateurW3btmncuHGaOnWqTp8+rTVr1uiuu+6q9K8rBHI54HjCZmVlKTMzU3Xr1lVmZqYGDx6shQsX6uzZs1q0aJHuvffeSrdIvqJy/LKS7Mc5vuGGG/TEE09o3bp1io6O1gcffCCbzaZ33nlH9erVk8ROV5WJ4zXBarVq/Pjx8vf31/DhwzVz5kz973//04kTJ/Taa6/p8ccfr/S/xHAx87kzadIknTp1StHR0brxxhuLXkO6dOkiq9WqhQsXqmHDhrr55pudPTZKmc1m04YNG3THHXcoLS1N8+fP1/XXX6+6desqKytLTZs21Y4dO/Tf//5XsbGx7Pwvllg4nc1mk4uLi9LS0jRs2DBlZGQoPz9fgYGBcnd31+HDhxUfH6+nnnpKQUFBzh4XJcRischms+n8+fM6fPiw2rdvr+uvv15NmjTR8ePH5ePjo7vuukspKSlasmSJevbsWakOr1OZHT58uOiEHpMnT1ZISIj69OmjlStX6syZM/Ly8tL58+fVtWtXderUycnTorxxrFefOXOmrrvuOjVs2FBvvPGGQkJCVKdOnaJIbtSokWrWrKkmTZpwDP1K4JdfftGgQYPk6empzz//XC1atFBhYaHOnj2r0NBQNW3aVOfOndODDz6oJk2aOHvccoHDvJUDeXl5mjx5stq1a6e+fftKkubPn69u3bopNTVVN9xwg6677jonT4mS8PXXX6tTp04qLCzUtGnT1LRpU506dUoXLlxQr169lJmZqSlTpmjGjBkKCwuT9Otxb1HxrVixQpmZmRo1apQkaejQobrvvvv0n//8R507d9a6des0bty4oucG4GC+w/Tee+9pyZIl+t///idJev/99/X+++9r0qRJatOmDe9GVTKOdxX279+v6OhoNWrUSMuWLZPNZtOyZct04cIFjRgxwtljljusyncSc4/hKlWqyNvbW1WqVCm67NSpU/L19VWXLl2I4wpi1qxZ+uCDDyTZtwympKRo4MCBGjp0qM6cOaP33ntP8+bN04QJExQWFlb0HPHz83Pm2Cgjr7/+ut544w1Vr15d48aN086dOzVmzBj5+/vrwQcfVN++feXi4sJbn/idwsLCouC1Wq2644471Lx5c40dO1aS1L9/f/Xu3btoWRdxXHk4joyVl5enZs2aafny5Tpw4IBWrVoli8WiOnXq6MiRI8rLyxPbSy/GFmQncKw/PXXqlHbv3q0WLVpo8+bNSklJUePGjeXh4aGFCxdqyZIlCgwMdPa4KCH//ve/dfLkSfn7+8vNzU2LFi1STEyM7r77buXl5cnFxUWnT5+uFOe4x+8dOnRIY8eOVYsWLbR7926dPn1aL7zwglq2bKkZM2bo559/1sMPP6zbb7/d2aOiHHGcMMhqtWr06NGqW7eumjZtqsjISC1dulTp6el66aWXnD0mnMDRGmlpaXr22WdVvXp1NW/eXHfeeaf69u1bdFSTkSNHcir6S2ANchlzvNVx+vRpxcTEaPv27Tpx4oRq1KghT09Pfffdd9qxY4cmT56s66+/3tnjogQ4DrGUl5enOXPm6NixY3ryySf1t7/9TTNmzJCfn5+aN28uV1dXeXp6snWnkvLy8lJmZqbq1aundu3a6dChQ/rwww/VsWNH9evXT506ddKNN97o7DFRzjjWHD/22GNq3bq16tWrp4SEBFWpUkU9evTQt99+q7p167KxpRKyWCzKyMjQuHHjdOutt6pXr16aMWOGqlatqjFjxuiTTz7RpEmTKu1xjq+GJRZlzNXVVRkZGZo/f74GDx6sd999V56enkpPT1etWrU0ceJEPfvss/w1V0E43t6y2Ww6dOiQGjVqpKioKK1atUqNGjXSv/71L82dO1cnT56UxFuflc3q1au1fft2SZKHh4dCQkK0fv16+fv7q2fPnvL19dWwYcOUk5PDTrq4yCuvvKKvv/5aknTkyBE1bdpUDz30kPbu3StPT0+tWbNG8fHxmjhxopo1a+bkaVGWdu7cqfz8fElSenq6goODdf/996t+/fp67bXXtHPnTgUHB2vFihUKDg528rTlF4FcRsyzpR09elSfffaZTp8+LUkaMGCAcnNztXv3buXl5cnLy8tZY6KEubi4yGq1atSoUdq3b58KCgq0YcMGnT17VitXrlRoaKjWrl3L1p1KaMuWLZo8ebImTpyoadOm6eeff1bnzp3Vv39/ubu7KzQ0VHfffbdeeeUVVa9e3dnjopx56KGH1KlTJ33xxRcKDg5WUFCQZs+erX79+umhhx6Su7u7brnllov2bUHFZ7PZdOrUKU2YMEGvvvqqsrOzdeTIkaKNMLt27VJmZqby8vLk5saRfq+EJRZlwLEO6OTJk0pMTFTDhg112223acaMGWrcuLGaNm2q5s2bq1WrVhzTtAJ6+eWXVbt2bY0dO1Y//PCDfvrpJx08eLDoEEycIa9yql27toKDg5WXl6eff/5Zbm5uevPNN5WamipJ6t69u5o1a8YWHlzEsWTLzc1NiYmJio6Olre3twYMGKA1a9boxIkTWrZsmf7xj3+oXbt2zh4XZcxisSg/P18LFy7U+fPnFR0drfT0dC1dulTff/+91q9fr7i4ONWsWZN3LK+CQC4DFotF6enpGjVqlM6fP6/ly5crKipKXbp0UXR0tFq2bKmQkBBVq1bN2aOiFHh4eMjd3V2LFy/WvffeqwYNGighIUHDhw9XSEiIs8eDk7i6uio4OFiurq5KT09XeHi4OnfurC+++ELbtm1TZGQkfzzhdxxrjkeMGKHw8HCNGTNG06ZNU5UqVdS3b1/t3LlTDzzwACf/qGQcp6UvLCxUrVq11KRJE3l6euqTTz7R2LFjVadOHYWFhenuu+9WgwYNnD3uNYGjWJQSm82mtLQ01alTR3l5eRo/frzuuecetWnTRlOnTlVmZqbGjx8vSapevTpbiSqwvLw8HT58WBs2bFB4eLiWL1+uIUOGqG3bts4eDeXAuXPn9Pnnn2vTpk0aNmyYmjZtqpMnT6p27drOHg3liHns4tWrV2vFihV68cUX1bBhQ6WkpKh3794aPny4Hn74YecOijJnHq1ixowZ8vb21uOPPy6bzaaVK1dq69atCg8PV0xMDCec+hPYglxK/v3vf+v5559Xhw4dVKNGDRUWFqpatWpatmyZBg0apGPHjmn16tX65z//qRo1ajh7XJQiNzc3WSwWrV+/Xh9++KEeeeQRtu6giLu7uxo0aKDc3FzFx8crIiKC1wRcxLGswiE/P19Vq1bVzp07VbduXQUHB6t79+7y8PDg6EeVkONoFbNnz1ZkZKROnDihdevWqXPnzurYsaNsNpvuvPPOojN04o9hC3Ipmjt3rr7//nvFxsaqSpUqSkpKkru7u7y8vLRmzRqNGTOGF7NK5Pz588rNzVWNGjU4kxV+5/z588rMzGTLMS7ieK2wWq2aOHGi/Pz8FBAQoBo1aignJ0fHjh1Tv379io58xGtL5VNYWKjnnntO3333nVauXCnJfmKqvXv36vnnn+c1pZg4ikUpycjIUGpqqjIzMzVhwgTl5eWpoKBAa9as0cyZM/Xoo48Sx5VM1apVi7YM8gsMv1W1alV+keF3HK8VMTExatWqlTp27KiNGzeqoKBAISEh8vHxuej1hNeWysFxZKyCggK5urrq/vvvl9Vq1YsvvihJmjBhglq3bn3REbTw57AFuRTk5+crLi5O7du319///nctXrxYiYmJiouLk8VikY+PD291AAAuy3FSKYdp06Zp9OjReuaZZ9SxY0dVrVpV7dq1k7+/vzw9PZ04KcqaY81xenq6nnnmmaKd7gYMGKB58+apTp06evLJJ507ZAXAFuRS4DhqQXZ2tiTpn//8p3Jzc7VkyRIFBQURxwCAyzJPMDR79mxduHBBBQUFioyM1D333KOoqCi99dZbysjIII4rIRcXF2VkZCgmJkYdO3ZU7969deTIEb355psaOXKkfvnlF2VkZIjtn38NO+mVMMehVqpVq6YdO3bo8OHDysjI0M8//6zHHnuMOAYAXJbNZis6wdCSJUu0Zs0abd26VRMnTtTJkyd18OBBvffee4qOjlaHDh2cPS7KkLmz5tGjR3XixAmNGjVK/v7+atWqlXbt2qVevXrpjjvukLe3N8tt/iJOo/IXOd7qcHB8HhoaKkn65JNPtHfvXj3++OMcyg0AcFkFBQVyd3eXJD322GMKDQ3VBx98oAULFmj8+PFatmyZsrKylJWVpfr16zt5WpQlx7sKqampWrdundq1a6eNGzdqwIABaty4sbZv364ff/xR586dU9WqVZ09boXAGuS/wBHHJ06c0Lfffqvz58+re/fuv7teXl4ep/sEAFzW+++/r/r166tTp06y2WyaPHmyHn300aINK/fff7+qV6+u+fPnq2rVqhytohJxtMapU6c0ZswYpaWlaf369Xrrrbf01ltv6e6779aWLVs0c+bMoqOZ4K9jicVf4DhD3tixY1WlShV98MEH+vHHHxUZGSnp1+UWnO8cAHAlwcHBaty4sT7++GPVrFlT33zzjQoKClSvXj398MMPOnLkiPLz83X69Gm1bt2aOK4kHEtu0tPT9dRTTyk8PFy1a9dWRESE/va3v6levXpq3bq1evbsybvUJYyd9IqhsLCw6PMFCxaoQ4cOGjVqlN577z1t375dq1evlqSLll4AAPBbjt8nPj4+ysrK0ttvv63PPvtMPXr0UEJCghYsWKBJkyZp6NChioyMvOj3Dyo2x0a2c+fO6YsvvlDfvn01ZswYnT59Wq6urvr000914MABNW7cWNddd52zx61w2LRZDK6urjpx4oQOHz6sVq1aycPDo+jMRj169JCHh4ezRwQAlHOOdaVWq1Vr1qxRvXr1tHz5co0bN06urq4aP368fHx8tHPnTh08eFCffPKJpk2b5uyxUQbM00c/9thjqlmzpho0aKBu3brJx8dHixcv1qZNmzRjxgyao5QQyH+Q1WrVa6+9pkcffVTp6emaO3euIiMj5e/vrzVr1sjd3V0nT57UunXrNGvWLGePCwAoxxxvndtsNj3++ONyc3PTTz/9pNtvv11z5szRyJEjlZaWpqFDh8rNzU1ff/21pkyZwhrTSsLFxUWnT5/W1KlTNWLECNWtW1dDhw5VXl6ejh07pqNHj2rWrFmqV6+es0etsAjkP2jRokU6cOCAJOnVV1/Vrl279Nxzz8nFxUWZmZk6fvy4Dh48qFmzZqlhw4ZOnhYAUJ451hC/+uqrCggI0JQpU5Sbm6thw4bpwoULWrRokQ4ePChvb2917txZN91000UnDkHFl5OTo7CwMPn5+WnVqlUaP368FixYoNzcXL322mvEcSnjKBZ/0LZt2/Tpp5/q7NmzGjZsmBYuXCibzVZ0Wkfp92c+AgDgcrKzs7V06VLt27dPMTExatGihbKysvTQQw9p/vz5Cg4O5mgVlVhBQYH27t2r+Ph49ezZUy4uLnrzzTc1btw44rgMEMhXYR7KLTo6WpL07LPPKiQkRKNHj1ZeXp6WLFni5CkBANeizMxMrV69WtnZ2brtttt04403srEFF1m4cKGOHTum5ORkzZ8/n3epywiBfAWOOM7JyVFaWpo8PDy0bds27d+/X927d1fr1q01duxYPfnkk6pdu7azxwUAXIMyMjL0/vvv68yZMxo9erQ8PT05ChKKHDt2TLt371bz5s3VoEEDZ49TaRDIl/HbPUh9fHzUokULxcTE6J133tG+ffvUv39/tWrVytmjAgCucRkZGcrNzeWtc6CcYCe9y7jcHqTVqlXT8OHDtWrVKtWtW9fZYwIAKoCAgAAFBAQ4ewwA/x+BfAWX2oN0+vTp8vT01KBBg5w9HgAAAEoBgXwFderU0U033VS0B6m7u7s6deqkm2++2dmjAQAAoJSwBvkPMPcgffHFF1kkDwAAUIERyH8Ae5ACAABUHgQyAAAAYOBAiwAAAICBQAYAAAAMBDIAAABgIJABAAAAA4EMAAAAGAhkAAAAwEAgAwAAAIb/B16emvO8yaJZAAAAAElFTkSuQmCC\n"
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\n"
},
- "metadata": {}
+ "metadata": {
+ "needs_background": "light"
+ }
}
],
"source": [
+ "import seaborn as sns\n",
+ "\n",
"top = df['artist_top_genre'].value_counts()\n",
"plt.figure(figsize=(10,7))\n",
"sns.barplot(x=top[:5].index,y=top[:5].values)\n",
@@ -220,6 +255,176 @@
"plt.title('Top genres',color = 'blue')"
]
},
+ {
+ "cell_type": "code",
+ "execution_count": 47,
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "display_data",
+ "data": {
+ "text/plain": "",
+ "image/svg+xml": "\n\n\n\n",
+ "image/png": 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\n"
+ },
+ "metadata": {
+ "needs_background": "light"
+ }
+ }
+ ],
+ "source": [
+ "corrmat = df.corr()\n",
+ "f, ax = plt.subplots(figsize=(12, 9))\n",
+ "sns.heatmap(corrmat, vmax=.8, square=True);"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "name": "stderr",
+ "text": [
+ "/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/matplotlib/cbook/__init__.py:1402: FutureWarning: Support for multi-dimensional indexing (e.g. `obj[:, None]`) is deprecated and will be removed in a future version. Convert to a numpy array before indexing instead.\n x[:, None]\n/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/matplotlib/axes/_base.py:276: FutureWarning: Support for multi-dimensional indexing (e.g. `obj[:, None]`) is deprecated and will be removed in a future version. Convert to a numpy array before indexing instead.\n x = x[:, np.newaxis]\n/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/matplotlib/axes/_base.py:278: FutureWarning: Support for multi-dimensional indexing (e.g. `obj[:, None]`) is deprecated and will be removed in a future version. Convert to a numpy array before indexing instead.\n y = y[:, np.newaxis]\n/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/matplotlib/cbook/__init__.py:1402: FutureWarning: Support for multi-dimensional indexing (e.g. `obj[:, None]`) is deprecated and will be removed in a future version. Convert to a numpy array before indexing instead.\n x[:, None]\n/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/matplotlib/axes/_base.py:276: FutureWarning: Support for multi-dimensional indexing (e.g. `obj[:, None]`) is deprecated and will be removed in a future version. Convert to a numpy array before indexing instead.\n x = x[:, np.newaxis]\n/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/matplotlib/axes/_base.py:278: FutureWarning: Support for multi-dimensional indexing (e.g. `obj[:, None]`) is deprecated and will be removed in a future version. Convert to a numpy array before indexing instead.\n y = y[:, np.newaxis]\n"
+ ]
+ },
+ {
+ "output_type": "display_data",
+ "data": {
+ "text/plain": "",
+ "image/svg+xml": "\n\n\n\n",
+ "image/png": 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\n"
+ },
+ "metadata": {}
+ }
+ ],
+ "source": [
+ "sns.set_theme(style=\"ticks\")\n",
+ "\n",
+ "data = df[df['artist_top_genre'].str.contains('afro dancehall', case=True, regex=True)]\n",
+ "\n",
+ "# Show the joint distribution using kernel density estimation\n",
+ "g = sns.jointplot(\n",
+ " data=data,\n",
+ " x=\"popularity\", y=\"danceability\", hue=\"artist_top_genre\",\n",
+ " kind=\"kde\",\n",
+ ")"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 27,
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "execute_result",
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "execution_count": 27
+ },
+ {
+ "output_type": "display_data",
+ "data": {
+ "text/plain": "",
+ "image/svg+xml": "\n\n\n