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@davidrichards
Last active January 10, 2017 15:03
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texting typing
2.2 40
0.82 55
2.9 45
1.2 80
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# The Smart Project\n",
"\n",
"In order to learn from data, I ueed a Jupyter notebook and Python to analyze and visualize the data.\n",
"\n",
"I loaded some tools that I would use:\n",
"\n",
"* I instructed Jupyter to print the graphs inside my notebook with `%matplotlib inline`\n",
"* I imported figsize so I could make larger graphs\n",
"* I imported numpy for calculating statitistics on my data\n",
"* I imported pandas for organizing my data\n",
"* I imported matplotlib for producing graphs\n",
"* I instructed matplotlib to use a style to make the graphs easy to understand\n",
"* I set the figure size to a large format\n",
"* I instructed Jupyter to produce graphics that take advantage of the retina screen I was using"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"from IPython.core.pylabtools import figsize\n",
"import numpy as np\n",
"import pandas as pd\n",
"from matplotlib import pyplot as plt\n",
"plt.style.use('ggplot')\n",
"figsize(11,9)\n",
"%config InlineBackend.figure_format = 'retina'"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next, I loaded my data into a pandas DataFrame. My data was in a comma-separated file. You can see all of my data below. The texting column is the number of hours spent texting in the last 7 days. The typing column is the number of words per minute as measured by Free Typing Game, ([http://www.freetypinggame.net/free-typing-test.asp](http://www.freetypinggame.net/free-typing-test.asp))."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>texting</th>\n",
" <th>typing</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>2.20</td>\n",
" <td>40</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>0.82</td>\n",
" <td>55</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>2.90</td>\n",
" <td>45</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>1.20</td>\n",
" <td>80</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" texting typing\n",
"0 2.20 40\n",
"1 0.82 55\n",
"2 2.90 45\n",
"3 1.20 80"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"filename = \"data.csv\"\n",
"data = pd.read_csv(filename, usecols=[\"texting\", \"typing\"])\n",
"data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next I wanted to understand the data I have so far. What I learned was:\n",
"\n",
"* I had 4 data samples, a very low number\n",
"* The average texting time was just under 2 hours in 7 days, but the standard deviation was almost half of that.\n",
"* The average typing time seems low, but the standard deviation was a little better, around 1/3 of the average."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>texting</th>\n",
" <th>typing</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>count</th>\n",
" <td>4.000000</td>\n",
" <td>4.00000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>mean</th>\n",
" <td>1.780000</td>\n",
" <td>55.00000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>std</th>\n",
" <td>0.946714</td>\n",
" <td>17.79513</td>\n",
" </tr>\n",
" <tr>\n",
" <th>min</th>\n",
" <td>0.820000</td>\n",
" <td>40.00000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>25%</th>\n",
" <td>1.105000</td>\n",
" <td>43.75000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>50%</th>\n",
" <td>1.700000</td>\n",
" <td>50.00000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>75%</th>\n",
" <td>2.375000</td>\n",
" <td>61.25000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>max</th>\n",
" <td>2.900000</td>\n",
" <td>80.00000</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" texting typing\n",
"count 4.000000 4.00000\n",
"mean 1.780000 55.00000\n",
"std 0.946714 17.79513\n",
"min 0.820000 40.00000\n",
"25% 1.105000 43.75000\n",
"50% 1.700000 50.00000\n",
"75% 2.375000 61.25000\n",
"max 2.900000 80.00000"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.describe()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Even though I don't have a lot of data, I wanted to visualize what that would look like if the mean and standard deviation were correct. So I generated some data and produced a histogram of that data.\n",
"\n",
"Here is the example from the texting time. I used my data's mean and standard deviation to produce 1,000 random data points. I then filtered the data for anything equal to or greater than zero, because negative texting time doesn't make sense. Next I set my figure size to a small size and plotted a histogram of the generated data.\n",
"\n",
"The histogram looks about right for my texting data, but I would expect that most people in high school spend a lot more time texting to their friends."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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FLlu1C42YmBjMmjXL7OMIxti6fgxuarGKOnHS7Lzu3r1rcZ7OnTtj6tSpWL9+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\niBwCgxsiIiIiInIIDG6IiIiIiMgh/D8l2GOfkb0b6gAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10cbc70d0>"
]
},
"metadata": {
"image/png": {
"height": 346,
"width": 411
}
},
"output_type": "display_data"
}
],
"source": [
"mu, sigma = data.texting.mean(), data.texting.std()\n",
"x = np.random.normal(mu, sigma, 1000)\n",
"x = x[x>=0]\n",
"figsize(4,3)\n",
"plt.hist(x)\n",
"plt.ylabel(\"Number of Samples\");\n",
"plt.xlabel(\"Hours Texting in the Last Week\");\n",
"plt.title(\"Texting Time from Generated Data\\n\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"I did the same for the typing test."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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3boUvcNlqvdCIjY3FrFmzzD6OYIyt68fgpgarrBMnzc7rzp07Fufp1KkTpkyZ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\ne1BVbWFrAwcORFRUFMaPHy8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4OPmOS7du3fR+DwoKku/mREZGGl1+hw8flr+H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\nkggAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10cc95c50>"
]
},
"metadata": {
"image/png": {
"height": 346,
"width": 411
}
},
"output_type": "display_data"
}
],
"source": [
"mu, sigma = data.typing.mean(), data.typing.std()\n",
"x = np.random.normal(mu, sigma, 1000)\n",
"x = x[x>=0]\n",
"figsize(4,3)\n",
"plt.hist(x)\n",
"plt.ylabel(\"Number of Samples\");\n",
"plt.xlabel(\"Typing Speed (WPM)\");\n",
"plt.title(\"Texting Time from Generated Data\\n\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next, I was interested in the correlation of my data. The `corr` function calculates Pearson's R for our texting and typing data. If I had more colums of data it would compare all variables. The data shows there is a negative correlation between texting and typing, or the better someone is at typing, the less time they spend texting. Again, I don't have a lot of data yet, so this test isn't very instructive yet."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>texting</th>\n",
" <th>typing</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>texting</th>\n",
" <td>1.000000</td>\n",
" <td>-0.633153</td>\n",
" </tr>\n",
" <tr>\n",
" <th>typing</th>\n",
" <td>-0.633153</td>\n",
" <td>1.000000</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" texting typing\n",
"texting 1.000000 -0.633153\n",
"typing -0.633153 1.000000"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.corr()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"I wanted to combine this information so I produced a scatter plot graph of my data. I reset the figure size to a large size for this graphic.\n",
"\n",
"I also calculated the trendline using numpy's [polyfit](https://docs.scipy.org/doc/numpy-1.11.0/reference/generated/numpy.polyfit.html) function. This uses the [least squares](http://www.stat.wmich.edu/s216/book/node126.html) algorithm for producing a regression line. You can see this below with the line\n",
"\n",
" z = np.polyfit(x, y, 1)\n",
" \n",
"That means take the texting data for x, the typing data for y, and produce a one-dimensional regression line, or a straight line. I then produce a \"polynomial class\" with [poly1d](https://docs.scipy.org/doc/numpy/reference/generated/numpy.poly1d.html#numpy.poly1d) to be able to print my regression line."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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65h7zOp0Oubm5cgLS2NLm+uu1fvv+9ttvGDBggFn9EBERERFVVt3+X/hERERE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\nY9+c/W54TkmSZHSfl/ysOr6nXF1d5bEWFBQgNze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L3jHSlVVvbPVK9cmZFXXJFJJ5yQseedl5RKZUwMAAAA7GuUnAAAwCtWGjs2nWefnbabbsqa++/P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\nqeK22xTIzDyhJn7aN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ZqaSkJKWkpCg5OdlYx9NqtWrz5s1KSkrS\n/Pnz1b59+7qfxCWIjo52CHJOnDhRRUVFRnD24vU4baKiouTh4aGysjIdPHhQY8eOVXZ2tsOas9Vl\nctr/rj/99NMaMmTIJZ2HfX1du3bVG2+8cUn1VeaPf/yjvvrqK506dUomk0kvvvii5syZ0yRnGQAA\nAIDk2dgdAAAAAC53fn5+DlNd2n+BXJ2srCxju7IsIfs6nckkdNU6gh06dNCIESP04IMPasGCBVq6\ndKkmT55sBFTy8/P10UcfuaQvzrCfbtJ++sX69PnnnxtT+AYEBBjrvyUnJ+vrr79ukDYbi/00x86u\n0dfU1na8XLjis+8KBw4cMLbvueeeGsvbj63OCA4O1ujRo/Xwww/rrbfe0qJFi/Tb3/7WyA49c+aM\nVqxYUbtO1yP7QGRKSorKysqUnJxsZKlWlY3p5+enrl27Svq/7E379TgDAgIUFhZWZbv1/fmxr+/c\nuXOXXF9lAgMDNXfuXOMhG1ugs7briQIAAMA1CHICAAAATUD37t2N7UOHDtVY3mq1Okz72qNHjwpl\nWrVqZWzn5+fXWKct08fVAgMDdfvtt+uhhx4y3tu3b1+TWNdQkiIjI43tjIyMGtd0q62DBw8aU0JK\n0iOPPOLws1i5cqXDta6Ku2R72n/WDx8+7NQxzpx/c9MUrqf9Zz8lJaURe1J3xcXFunDhgqTyTMCa\npsK+OFOxLjp16qS7775b9957r/Hezz//fEl1Xgr7IGdRUZGOHDniMOVsVZmc9vtsPxf79TirO06S\nIiIijO36+PxcccUVxiwHeXl5ysjIuOQ6K9OuXTvNnTtXnTt3llQe6PzrX/9KoBMAAKAJIsgJAAAA\nNAGxsbHG9saNG2ssv3PnTiNw6ePjoyuvvLJCmU6dOhnb9mvGVaakpKRRv4SXpIEDBxrbFovFqcCs\nKwQEBKhnz56SyoPLP/74Y73VXVhYqMWLFxtTBY8fP15XX321hgwZolGjRkn6v2lra5pCs0WLFsa2\nM5m7jSUmJsbY3rdvn/Ly8qotf/ToUYcpjS8XTeF62q8Jm5CQcMnBv8ZgW89RKh9XapqW+4cffqi3\ntu3HtPz8/ArX0X5a8oa8xgEBAcZ6mlJ5NqYtyOnn56crrriiymPtA5mJiYkOwdHqpqqVpAEDBhjb\nu3btuuTsS29vb/Xp08d4XZ/X6mLt27fXCy+8YAQ6T506pb/+9a9undEMAADQHBHkBAAAAJqAsWPH\nGplb6enpWrduXZVlCwsL9emnnxqvr7nmGoesTRv7LJqff/652qDh559/XmOwqa6crdc+gOLp6ekw\nrWlj+81vfmNsf/nll8bUss6o7ov99957zzjvsLAwTZkyxdg3bdo0hykTly9fXm07dZkGtjH07t1b\nwcHBksqDTv/85z+rLGu1WpvU1MWu1BSuZ1hYmBHotFgsWrRokUpKSpw6trS0tEk8qNCiRQu1a9dO\nUvk57Nmzp8qy6enp+v7772ussy5jmr+/v8MU4pKMaamlhp8O2H5K2r179xpjWK9evarNGrY/bseO\nHQ7Zk1VNc2vTo0cPIyhZUlKiRYsWOZ2hb7FYKs2atx+L165dW+31vFhtg6yBgYF64YUXjHH41KlT\nevHFFwl0AgAANCEEOQEAAIAmIDg4WNdff73xevny5Vq7dm2FrCOTyaR58+bp9OnTksqzcG6//fZK\n64yIiDC+nC0qKtLChQsrfGlsNpv1ySefaPXq1Q6ZY/Vp9uzZevvtt7Vnz54qv+DOyMjQkiVLjNd9\n+vSpEBBoTEOGDDGCPWazWXPnztV///vfKgM+xcXF2rZtm+bPn6+lS5dWWmbjxo3avn27pPIMpSee\neMLhGvj6+mrGjBlGJtrGjRu1Y8eOKvtoWztPklFvU3XnnXca2xs3btTy5ctlNpsdyhQUFOitt95S\nUlJSg302mzL767lz584aMxAbyh/+8Af5+flJKl8jdvbs2Q5Tll7s9OnTWrVqlWbMmKF9+/a5qpvV\nss8ofO+99yrt/65duzR//nxZLBb5+vpWW9+TTz6ppUuX6sCBA8a6lhc7evSo3n//feP11VdfXaFM\nu3btjGB2bm6uw3qX9c0+69J+OvCappwNDAw0pvj95ZdfjPf9/Pwcpp6uyn333Wf8PA8cOKAXXnih\n2inZTSaTvvrqK82YMcMha9SmV69eGj16tKTyhyBee+01ffXVV1VmupeUlGj37t16/fXX9corr9TY\n34sFBgZqzpw5BDoBAACaKO/G7gAAAACAclOnTtWRI0eUmpqq0tJSLV++XKtWrVJUVJR8fX2VmZmp\ngwcPGl+qe3l5afr06erYsWOVdd5999168803JZV/sf3YY48pNjZWbdq00blz53Tw4EEVFhYqMDBQ\n48eP14oVK+r9vCwWi7Zu3aqtW7fKx8dH3bp1U3BwsFq1aqWCggJlZmYqPT3dKO/j4+OQ0dhUPP74\n4/rb3/6mQ4cOyWw264MPPtCKFSt05ZVXKjAwUF5eXiooKNCpU6d04sQJY/rJfv36VagrMzPTITPz\nnnvuUbdu3SqUi4iI0B133KHPP/9ckrRs2TKjvYsNGTJE8fHxksrX8UxMTFS3bt0cAoS33Xab2rZt\ne2k/iHpwzTXX6Oeff9bWrVsllWdkbd68WTExMQoICFBOTo4SExNlNpsVGBioESNGaNWqVZKaxlqV\nrjBo0CB99NFHslqtOnDggJ5++mlFR0c7ZG0PGTKk0qmq61NISIhmzpypN954QxcuXNDRo0c1Z84c\ndezYUeHh4WrdurUsFotyc3N1/PhxnTlzpkH6UVBQoL/85S9Ol+/atatmzJghSfrtb3+rrVu3qqio\nSDk5OZozZ44iIiIUGhqq0tJSpaamymQySSr/bBYWFiohIaHKuktKSrRhwwZt2LBBvr6+uuKKK9Sx\nY0f5+voqLy9PJpNJx44dM8q3bt1ad911V6V1DR48WHFxcZKkv/3tb+rbt686duxoPOTRsmVLTZ48\n2enzrkpVU8vWlI1pK7N582aH92oKjtqEhYXpqaee0ptvvqmioiKlpaXp+eefV6dOnYzPT0lJic6f\nP6/jx487lbX84IMP6ty5c0pISFBpaak+//xzff3114qIiFDHjh3l7e2twsJCZWZm6vjx40ZA15mg\nbGVsgc4XX3xRJpPJmLp2zpw5RpYwAAAAGgdBTgAAAKCJ8PHx0QsvvKClS5camXg5OTnatm1bhbKB\ngYF6+OGH1bdv32rrHDp0qO644w598cUXksqnut25c6dDmdDQUD399NNKTU2tpzNxZB+UMZvNSk1N\nrbKt4OBgzZgxwyGLralo1aqV5s6dq08//VRr166VxWJRUVFRtdlqLVq0MNbztLFarQ5rbF511VW6\n5ZZbqqxj4sSJ2rt3r5KTk5Wfn69FixZpzpw5FcoNHz5cmzZtMqZvPHjwYIVMqNGjRzeJIKckPfbY\nY/Lx8dFPP/0kqfyzuWvXLocyISEheuaZZxzWi61saubmqEOHDpo8ebI+++wzSeXZzvZThUrl6+42\ndJBTKl8z+G9/+5uWLl1qZOFlZWUpKyurymOCgoIc1gW+VFar1SFwWBP7TPBOnTpp5syZevPNN1VY\nWChJlY5DI0eO1IMPPqi///3v1dbdqlUrFRcXSyrPkk9JSVFKSkqlZbt27aonnniiyodRJk+erL17\n9yo7O9vIOrTXpk2beglyBgYGqlOnTsYsAFLl41NloqKiKgQ5a1qP016/fv2MrHbbz/z06dMOfblY\np06djAzSi3l7e2vWrFlauXKlvv32WxUXF8tsNlebCevl5XVJvysXBzozMjI0d+5czZkzR+3bt69z\nvQAAALg0BDkBAAAAF6opC61ly5Z68skndcstt2jTpk1KSkpSTk6OzGazAgIC1LVrVw0YMECjR4+W\nj4+PU21OmjRJffv21X/+8x8lJyfr/Pnz8vPzU0hIiK655hqNHj1aLVu2dPjC35lsOWcz6l5//XUd\nPnxYBw4cUGpqqk6dOmWck4+Pj9q1a6fu3btr4MCBGjZsmLy9G/7PlLpmA3p5eWnq1KmaMGGCNm3a\npMTERJ08eVJ5eXmyWq3y8/NTp06d1K1bN/Xp00f9+vUzpvq0WblypQ4fPixJCggI0KOPPlpjX2fM\nmKE///nPKiwsVFJSkr755huHtels5WbNmqUNGzZox44dOnbsmPLz840pdSs7Z9t79Xm9neXp6amH\nH35YI0aM0Lp165SSkmJ8NoODgzV8+HCNHj1avr6+2rhxo3Gcv79/vfWhobJC66veiRMnKjIyUnFx\ncUpLS9O5c+eM4Jor2rfXpUsXzZs3T0lJSYqPj1dycrJycnJUUFCgFi1aqHXr1urSpYsiIiLUt29f\npzP9GsrFP4OrrrpKCxYs0Hfffac9e/YoKytLnp6eat++vSIjIzVy5EjFxsZWW4fN0qVLlZycrKSk\nJGNMO3funMxms1q2bKn27durR48eGjx4sAYPHmxMOV2Zdu3a6bXXXtPatWuVkJCgU6dOqbCw0MgE\nr89rGR0d7RBYjIyMdGq8vfhaenh4OJUBai8sLEzz58/X/v37tWvXLiUnJ+vs2bPG56dNmzbG56df\nv35OBSQnTZqkG2+8URs3btT+/fv166+/Ki8vT6WlpWrVqpU6duyorl27KiYmRldffbUCAgKqra+m\nnzUZnQAAAE2PR1ljLewBAAAAAIAT5s+fb2TMPv/88xWCUQAAAACAy0/VjxMCAAAAANDIzp8/b0xD\n6enpqfDw8EbuEQAAAACgKSDICQAAAABosj766CNZLBZJ0tVXX11h+l8AAAAAwOWJNTkBAAAAAC73\n9ddfy8vLSyNHjlTbtm0r7M/JydHHH3+s7du3SypfL++2225zdTc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"text/plain": [
"<matplotlib.figure.Figure at 0x10d1401d0>"
]
},
"metadata": {
"image/png": {
"height": 834,
"width": 924
}
},
"output_type": "display_data"
}
],
"source": [
"figsize(11,9)\n",
"\n",
"# plot the data itself\n",
"x = data.texting\n",
"y = data.typing\n",
"plt.scatter(x, y)\n",
"\n",
"# calc the trendline\n",
"z = np.polyfit(x, y, 1)\n",
"p = np.poly1d(z)\n",
"plt.plot(x,p(x),\"r--\")\n",
"plt.xlabel(\"Hours Texting in the Last Week\")\n",
"plt.ylabel(\"Typing Speed (WPM)\")\n",
"plt.xlim([0, x.max() * 1.1])\n",
"plt.ylim([0, y.max() * 1.1])\n",
"plt.title(\"Correlation of Time Spent\\nTexting and Typing Speed\\n\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"I converted the regression line into the form `y = mx + b` to make it easier to understand."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"y=-11.901x+(76.184)\n"
]
}
],
"source": [
"# the line equation:\n",
"print \"y=%.3fx+(%.3f)\"%(z[0],z[1])"
]
},
{
"cell_type": "markdown",
"metadata": {
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"source": [
"# Summary\n",
"\n",
"I did not have a lot of data, but I was able to understand the data in a regular way. I was able to setup a Jupyter notebook so that if I had new data I coud reproduce the same analysis and graphs and learn from the better data. I took some time looking at each variable to understand what it might mean. I also tried to understand the relationship between typing and texting with Pearson's R and with a Least Squares regression line. More data would allow me to more-completely understand the relationship between typing and texting."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.13"
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"nbformat": 4,
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