7_data_vis_2.ipynb

{
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   "source": [
    "# ICS 434: DATA SCIENCE FUNDAMENTALS\n",
    "\n",
    "## Random Number Generation in Python and Common Plot Types\n",
    "\n",
    "---"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "120ed7de",
   "metadata": {
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   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt \n",
    "\n",
    "plt.rcParams['figure.figsize'] = (4.5, 3)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b563db72",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Random Number Generation\n",
    "\n",
    "* Data we will generate throughout the course is pseudorandom\n",
    "  * Generated using an algorithm for generating seemingly random but still reproducible data\n",
    "    \n",
    "```They start with a random number, known as the seed, and then use an algorithm to generate a pseudo-random sequence of bits based on it. ```\n",
    "\n",
    "* Should not be used for security purposes but is actually recommended for data science\n",
    "  * Reproducibility if random sequencing is convenient in experiments"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aff6b8ef",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "### Random Number Generation -- Cont'd\n",
    "\n",
    "* Basic radnom functionality is implemented in the `random` standard library\n",
    "\n",
    "* Many other sampling strategies (probability distributions) are implemented in `numpy`\n",
    "  * The same functions available in `random` are also available in `numpy`, although generally with more options\n",
    "  * `numpy` offer more strategies (beyond *uniform*)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5db2a42f",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Random Number Generation -- Cont'd\n",
    "\n",
    "* Basic radnom functionality is implemented in the `random` standard library\n",
    "\n",
    "* Many other sampling strategies (probability distributions) are implemented in `numpy`\n",
    "  * The same functions available in `random` are also available in `numpy`, although generally with more options\n",
    "  * `numpy` offer more strategies"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ee73825d",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### (Pseudo)-Random Number Generation and Seeds\n",
    "\n",
    "* The seed and the strategy determine the sequence of randomly generated numbers\n",
    "  * Suppose the strategy is *uniform* in range `[0, 100]`\n",
    "\n",
    "![](images/rng.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "8f323ae9",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import random\n",
    "\n",
    "random.seed(2)\n",
    "random.randint(0, 100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "6a9bc78d",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[7, 11, 10, 46, 21, 94, 85, 39, 32, 77]\n"
     ]
    }
   ],
   "source": [
    "# Random sampling after setting a seed\n",
    "random.seed(2)\n",
    "rand_numbers = []\n",
    "for i in range(10):\n",
    "    rand_numbers.append(random.randint(0, 100))\n",
    "print(rand_numbers)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "1771fec4",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[27, 77, 4, 74, 87, 20, 55, 81, 50, 92, 65, 47, 69, 56, 64, 34, 4, 3, 46, 59]\n"
     ]
    }
   ],
   "source": [
    "# Random sampling without setting a seed\n",
    "rand_numbers = []\n",
    "for i in range(20):\n",
    "    rand_numbers.append(random.randint(0, 100))\n",
    "print(rand_numbers)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "b1ac10d7",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[7, 11, 10, 46, 21, 94, 85, 39, 32, 77]\n"
     ]
    }
   ],
   "source": [
    "# Random sampling after resetting a seed\n",
    "random.seed(2)\n",
    "rand_numbers = []\n",
    "for i in range(10):\n",
    "    rand_numbers.append(random.randint(0, 100))\n",
    "print(rand_numbers)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "379e7ee6",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Useful `random` Functions\n",
    "\n",
    "* `random.seed(s)`:  Set the seed to `s`\n",
    "* `random.ranint(l, u)` : Generate a random integer in the range [l, u]\n",
    "* `random.random()` : Generate a random value in the range [0, 1)\n",
    "* `random.choice(items)`: Select a random item from the `items`\n",
    "* `random.choices(items, k=n)`: Select `n` random items from the `items` (with replacement)\n",
    "* `random.sample(items, k=n)`: Sample `n <= len(items)` random items from the `items` (without replacement)\n",
    "* `random.shuffle(items)`: Shuffle, in-place, the `items` in a pseudo random fashion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "d7808635",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'CS'"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "random.seed(42)\n",
    "random.choice([\"CS\", \"Math\", \"Eng\", \"Econ\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "2916b968",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['Eng', 'CS', 'Math', 'CS']"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "random.seed(42)\n",
    "random.choices([\"CS\", \"Math\", \"Eng\", \"Econ\"], k=4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "19c4fe02",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['CS', 'Econ', 'Math', 'Eng']"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "random.seed(42)\n",
    "random.sample([\"CS\", \"Math\", \"Eng\", \"Econ\"], k=4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "ce459282",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['Eng', 'CS', 'Math', 'CS', 'Eng']"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "random.seed(42)\n",
    "random.choices([\"CS\", \"Math\", \"Eng\", \"Econ\"], k=5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "8bb5d29b",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "ename": "ValueError",
     "evalue": "Sample larger than population or is negative",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mValueError\u001b[0m                                Traceback (most recent call last)",
      "Cell \u001b[0;32mIn [10], line 2\u001b[0m\n\u001b[1;32m      1\u001b[0m random\u001b[38;5;241m.\u001b[39mseed(\u001b[38;5;241m42\u001b[39m)\n\u001b[0;32m----> 2\u001b[0m \u001b[43mrandom\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43msample\u001b[49m\u001b[43m(\u001b[49m\u001b[43m[\u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mCS\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mMath\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mEng\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mEcon\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mk\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;241;43m5\u001b[39;49m\u001b[43m)\u001b[49m\n",
      "File \u001b[0;32m~/miniconda3/envs/temp/lib/python3.9/random.py:449\u001b[0m, in \u001b[0;36mRandom.sample\u001b[0;34m(self, population, k, counts)\u001b[0m\n\u001b[1;32m    447\u001b[0m randbelow \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_randbelow\n\u001b[1;32m    448\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;241m0\u001b[39m \u001b[38;5;241m<\u001b[39m\u001b[38;5;241m=\u001b[39m k \u001b[38;5;241m<\u001b[39m\u001b[38;5;241m=\u001b[39m n:\n\u001b[0;32m--> 449\u001b[0m     \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mSample larger than population or is negative\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n\u001b[1;32m    450\u001b[0m result \u001b[38;5;241m=\u001b[39m [\u001b[38;5;28;01mNone\u001b[39;00m] \u001b[38;5;241m*\u001b[39m k\n\u001b[1;32m    451\u001b[0m setsize \u001b[38;5;241m=\u001b[39m \u001b[38;5;241m21\u001b[39m        \u001b[38;5;66;03m# size of a small set minus size of an empty list\u001b[39;00m\n",
      "\u001b[0;31mValueError\u001b[0m: Sample larger than population or is negative"
     ]
    }
   ],
   "source": [
    "random.seed(42)\n",
    "random.sample([\"CS\", \"Math\", \"Eng\", \"Econ\"], k=5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "4ba96768",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[4, 2, 3, 5, 1, 6]\n"
     ]
    }
   ],
   "source": [
    "items = [1, 2, 3, 4, 5, 6]\n",
    "random.shuffle(items)\n",
    "print(items)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "df07f761",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Equivalent `NumPy` Functions\n",
    "\n",
    "* `np.random.seed(s)`:  Set the seed to `s`\n",
    "* `np.random.randint(low, u, k)` : Generate `k` random integers in the range [low, u)\n",
    "  * If `u` is `None` (default), then results are from [0, low)\n",
    "  * `k` (output shape): integer or tuple of integers\n",
    "* `np.random.rand(d0, d1, ..., dn)`: Generate an array with shape (d0, d1, ..., dn) of random values in the range [0, 1)\n",
    "* `np.random.choice(items, size=k, replace=True)`: Select `k` random items from the `items` with replacement by default\n",
    "   * Obviates the need for `choices` and `sample` \n",
    "   * `sample(k)` in numpy is equivalent to `rand(k)` and `random_sample(k)`\n",
    "* `np.random.shuffle(items)`: Shuffle, in-place, `items` in a pseudo random fashion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "0778dec7",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 0, 5, 3, 2, 4, 1, 7, 6, 2])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.random.randint(0, 10, 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "e0ccec5e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0, 7, 4, 0, 7],\n",
       "       [7, 5, 3, 5, 3]])"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.random.randint(0, 10, (2, 5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "e705e74b",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.24233293, 0.44322985, 0.72926142, 0.40911987, 0.14371562])"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.random.rand(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "ab4095ae",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.52778772, 0.21585182, 0.45990131, 0.6324986 ],\n",
       "       [0.34153365, 0.03885786, 0.13143226, 0.17137134]])"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.random.rand(2, 4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "7350c7fe",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.37454012 0.95071431 0.73199394 0.59865848 0.15601864 0.15599452\n",
      " 0.05808361 0.86617615 0.60111501 0.70807258]\n",
      "-------------------------\n",
      "[0.37454012 0.95071431 0.73199394 0.59865848 0.15601864 0.15599452\n",
      " 0.05808361 0.86617615 0.60111501 0.70807258]\n",
      "-------------------------\n",
      "[0.37454012 0.95071431 0.73199394 0.59865848 0.15601864 0.15599452\n",
      " 0.05808361 0.86617615 0.60111501 0.70807258]\n"
     ]
    }
   ],
   "source": [
    "# rand, sample and random_sample have the same default behavior\n",
    "np.random.seed(42)\n",
    "print(np.random.sample(10))\n",
    "print(\"-------------------------\")\n",
    "np.random.seed(42)\n",
    "print(np.random.random_sample(10))\n",
    "print(\"-------------------------\")\n",
    "np.random.seed(42)\n",
    "print(np.random.rand(10))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "a9f399e0",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[0.37454012 0.95071431 0.73199394]\n",
      " [0.59865848 0.15601864 0.15599452]]\n",
      "-------------------------\n",
      "[[0.37454012 0.95071431 0.73199394]\n",
      " [0.59865848 0.15601864 0.15599452]]\n",
      "-------------------------\n",
      "[[0.37454012 0.95071431 0.73199394]\n",
      " [0.59865848 0.15601864 0.15599452]]\n"
     ]
    }
   ],
   "source": [
    "np.random.seed(42)\n",
    "print(np.random.sample((2, 3)))\n",
    "print(\"-------------------------\")\n",
    "np.random.seed(42)\n",
    "print(np.random.random_sample((2, 3)))\n",
    "print(\"-------------------------\")\n",
    "np.random.seed(42)\n",
    "print(np.random.rand(2, 3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "140c8f63",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[4, 1, 3, 5, 6, 2]"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "items = [1, 2, 3, 4, 5, 6]\n",
    "random.shuffle(items)\n",
    "items"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cee18bb9",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Basic Plot Types: Line Plot\n",
    "\n",
    "* Data points plotted as a line\n",
    "  \n",
    "* Typically used when the x-axis is continuous or when it's acceptable to make such an assumption\n",
    "  * Ex.: `x` time-series data\n",
    "  \n",
    "* Multiple lines can be combined for comparison  \n",
    "  * Lines can have different styles\n",
    "  * Solid by default, and add different styles when plotting more than one line"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "cc0e65ba",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x137f86520>]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,6))\n",
    "\n",
    "year = np.arange(0, 100)\n",
    "profit = np.random.randint(-2, 80, 100)\n",
    "plt.plot(year, profit)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "06cfabfb",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "### Basic Plot Types: Scatter Plot\n",
    "\n",
    "* Show multiple dimensions (typically two)  of the data\n",
    "* Each mark is a data instance and is associated with an `x` and `y` value\n",
    "  * Data points plotted as dots, circles, or other symbols across two axes\n",
    "\n",
    "* Typically used when:\n",
    "  * Data represent multiple entities \n",
    "  * Values on the x-axis are continuous or discrete but not sparse\n",
    "\n",
    "* Can include more than two dimensions \n",
    "  * Symbols can use different shapes to represent a third, typically categorical variable\n",
    "  * Symbols can use size or hue to represent a third continuous variable\n",
    "* More than three is typically not recommended"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d7a4e1aa",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Basic Plot Types: Scatter Plot\n",
    "\n",
    "* Show multiple dimensions (typically two)  of the data\n",
    "* Each mark is a data instance and is associated with an `x` and `y` value\n",
    "  * Data points plotted as dots, circles, or other symbols across two axes\n",
    "\n",
    "* Can include more than two dimensions \n",
    "  * Symbols can use different shapes to represent a third, typically categorical variable\n",
    "  * Symbols can use size or hue to represent a third continuous variable\n",
    "* More than three is typically not recommended"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "dfca2bbe",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "age = np.random.randint(20, 45, 100)\n",
    "income = np.random.randint(45, 165, 100)\n",
    "\n",
    "plt.figure(figsize=(12,5))\n",
    "plt.scatter(age, income)\n",
    "\n",
    "plt.xlabel(\"Age\")\n",
    "plt.ylabel(\"Income\")\n",
    "plt.title(\"Representation of Participants\\' Age and Income\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "7509cedc",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "age = np.random.randint(20, 45, 100)\n",
    "income = np.random.randint(45, 165, 100)\n",
    "credit_score = np.random.choice([0, 50, 200], 100)\n",
    "\n",
    "plt.figure(figsize=(12,5))\n",
    "plt.scatter(age, income, s=credit_score, alpha=0.5)\n",
    "\n",
    "plt.xlabel(\"Age\")\n",
    "plt.ylabel(\"Income\")\n",
    "plt.title(\"Representation of Participants\\' Age and Income\");\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "d79be931",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,5))\n",
    "\n",
    "age = np.random.randint(20, 45, 100)\n",
    "income_male = np.random.randint(45, 165, 100)\n",
    "income_female = np.random.randint(45, 115, 100)\n",
    "plt.scatter(age, income_male, label=\"male income\")\n",
    "plt.scatter(age, income_female, label=\"female income\")\n",
    "\n",
    "plt.legend()\n",
    "plt.xlabel(\"Age\")\n",
    "plt.ylabel(\"Income\")\n",
    "_ = plt.title(\"Representation of Male and Female Participants\\' Age and Income\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b092d3fd",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Basic Plot Types: Bar Plot\n",
    "\n",
    "* Shows the relationship between a numeric and a categorical variable\n",
    "    * Each unique categorical variable is associated with a bar, the length of which represents a numerical value\n",
    "    * E.g., number of students in ICS, Eng, Phys, Econ, and Math\n",
    "\n",
    "* Catgorical variable can be further split across factors\n",
    "  * E.g., number of students in ICS, Eng, Phys, Econ, and Math split by gender\n",
    "  * Data can be shown side by side, stacked, etc."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "2ff33139",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<BarContainer object of 5 artists>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,5))\n",
    "\n",
    "discipline = [\"ICS\", \"Eng\", \"Phy\", \"Econ\", \"Math\"]\n",
    "nb_students = [70, 45, 59, 5, 21]\n",
    "\n",
    "plt.bar(discipline, nb_students)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "c6171c4a",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,5))\n",
    "\n",
    "discipline = [\"ICS\", \"Eng\", \"Phy\", \"Econ\", \"Math\"]\n",
    "nb_male_students = [40, 25, 49, 1, 9]\n",
    "nb_female_students = [30, 20, 10, 4, 12]\n",
    "\n",
    "x_values = np.arange(len(discipline))\n",
    "\n",
    "plt.bar(x_values, nb_male_students, label=\"Male Students\")\n",
    "plt.bar(x_values, nb_female_students, bottom=nb_male_students, label=\"Female Students\")\n",
    "\n",
    "plt.xticks(x_values, discipline)\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "3e4ba1d7",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,5))\n",
    "\n",
    "bar_width = 0.4\n",
    "\n",
    "discipline = [\"ICS\", \"Eng\", \"Phy\", \"Econ\", \"Math\"]\n",
    "nb_male_students = [40, 25, 49, 1, 9]\n",
    "nb_female_students = [30, 20, 10, 4, 12]\n",
    "\n",
    "x_values = np.arange(len(discipline))\n",
    "\n",
    "plt.bar(x_values - bar_width/2, nb_male_students, width=bar_width, label=\"Male Students\")\n",
    "plt.bar(x_values + bar_width/2, nb_female_students, width=bar_width, label=\"Female Students\")\n",
    "\n",
    "plt.xticks(x_values, discipline)\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "2b924e6c",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "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>nb_mail_students</th>\n",
       "      <th>nb_femail_students</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>ICS</th>\n",
       "      <td>40</td>\n",
       "      <td>30</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Eng</th>\n",
       "      <td>25</td>\n",
       "      <td>20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Phy</th>\n",
       "      <td>49</td>\n",
       "      <td>10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Econ</th>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Math</th>\n",
       "      <td>9</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      nb_mail_students  nb_femail_students\n",
       "ICS                 40                  30\n",
       "Eng                 25                  20\n",
       "Phy                 49                  10\n",
       "Econ                 1                   4\n",
       "Math                 9                   2"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "discipline = [\"ICS\", \"Eng\", \"Phy\", \"Econ\", \"Math\"]\n",
    "\n",
    "df = pd.DataFrame({\"nb_mail_students\": [40, 25, 49, 1, 9],\n",
    "                   \"nb_femail_students\": [30, 20, 10, 4, 2]},\n",
    "                  index=discipline)\n",
    "display(df)\n",
    "\n",
    "df.plot.bar(figsize=(12, 5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "08ff47fb",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.plot.bar(stacked=True, figsize=(12, 5))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6906782d",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Basic Plot Types: Histogram\n",
    "\n",
    "* A histogram shows the frequency of data within user-defined or automatically determined regions\n",
    "\n",
    "* Histograms show the `distribution` of the data\n",
    "  * The frequency (a proxy for probability) of different x-values\n",
    "    \n",
    "* Used when:\n",
    "  * Data is `unidimensional`   \n",
    "  * Interested in showing the distribution of frequencies across bins\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "538a92e1",
   "metadata": {
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([119., 120., 105.,  99.,  92.,  94., 102.,  98.,  78.,  93.]),\n",
       " array([ 0. ,  9.9, 19.8, 29.7, 39.6, 49.5, 59.4, 69.3, 79.2, 89.1, 99. ]),\n",
       " <BarContainer object of 10 artists>)"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,5))\n",
    "\n",
    "data = np.random.randint(0, 100, 1000)\n",
    "\n",
    "plt.hist(data, edgecolor='black', linewidth=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "8e752d55",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,5))\n",
    "\n",
    "data = np.random.randint(0, 100, 1000)\n",
    "\n",
    "_ = plt.hist(data, bins = 20, edgecolor='black', linewidth=1.2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "549d258b",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([57., 50., 53., 51., 69., 46., 56., 44., 51., 54., 43., 50., 39.,\n",
       "        52., 48., 44., 50., 55., 42., 46.]),\n",
       " array([ 0.  ,  4.95,  9.9 , 14.85, 19.8 , 24.75, 29.7 , 34.65, 39.6 ,\n",
       "        44.55, 49.5 , 54.45, 59.4 , 64.35, 69.3 , 74.25, 79.2 , 84.15,\n",
       "        89.1 , 94.05, 99.  ]),\n",
       " <BarContainer object of 20 artists>)"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 450x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(data, bins=20, edgecolor='black', linewidth=1.2)"
   ]
  }
 ],
 "metadata": {
  "celltoolbar": "Slideshow",
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.9.16"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}