Linear_regression.ipynb

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   "source": [
    "#source: https://github.com/llSourcell/linear_regression_live/blob/master/demo.py\n",
    "#Price of wheat/kg and the average price of bread\n",
    "wheat_and_bread = [[0.5,5],[0.6,5.5],[0.8,6],[1.1,6.8],[1.4,7]]\n",
    "\n",
    "def step_gradient(b_current, m_current, points, learningRate):\n",
    "    b_gradient = 0\n",
    "    m_gradient = 0\n",
    "    N = float(len(points))\n",
    "    for i in range(0, len(points)):\n",
    "        x = points[i][0]\n",
    "        y = points[i][1]\n",
    "        b_gradient += -(2/N) * (y - ((m_current * x) + b_current))\n",
    "        m_gradient += -(2/N) * x * (y - ((m_current * x) + b_current))\n",
    "    new_b = b_current - (learningRate * b_gradient)\n",
    "    new_m = m_current - (learningRate * m_gradient)\n",
    "    return [new_b, new_m]\n",
    "\n",
    "def gradient_descent_runner(points, starting_b, starting_m, learning_rate, num_iterations):\n",
    "    b = starting_b\n",
    "    m = starting_m\n",
    "    for i in range(num_iterations):\n",
    "        b, m = step_gradient(b, m, points, learning_rate)\n",
    "    return [b, m]\n",
    "\n",
    "gradient_descent_runner(wheat_and_bread, 1, 1, 0.01, 100)\n"
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