{
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"tags": [
"remove-cell"
]
},
"outputs": [],
"source": [
"import sys\n",
"import os\n",
"if not any(path.endswith('textbook') for path in sys.path):\n",
" sys.path.append(os.path.abspath('../../..'))\n",
"from textbook_utils import *\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"tags": [
"remove-cell"
]
},
"outputs": [],
"source": [
"outlier_czs = [34105, 34113, 34112, 34106]\n",
"\n",
"def subset_and_rename_A(df):\n",
" df = df[['aum', 'frac_traveltime_lt15', 'gini', 'rel_tot',\n",
" 'cs_fam_wkidsinglemom', 'taxrate', 'frac_worked1416',\n",
" 'cs_born_foreign', 'region']]\n",
" df.columns = ['aum', 'travel_lt15', 'gini', \n",
" 'rel_tot', 'single_mom', 'taxrate', \n",
" 'worked_14', 'foreign', 'region'] \n",
" return df\n",
"\n",
"regions = (\n",
" pd.read_csv('data/census_regions.csv',\n",
" header=0, names=['state', 'stateabbrv', 'region', 'div'])\n",
" .drop(columns=['div'])\n",
")\n",
"\n",
"cz_df = (pd.read_csv('data/mobility.csv')\n",
" .query('not aum.isnull()', engine='python')\n",
" .query('cz not in @outlier_czs')\n",
" .merge(regions, on='stateabbrv')\n",
" .pipe(subset_and_rename_A)\n",
" )\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"(sec:linear_case)=\n",
"# Example: Where Is the Land of Opportunity?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The US is called \"the land of opportunity\" because people believe that\n",
"even those with few resources can end up wealthy in the US---economists call this \n",
"notion \"economic mobility.\" \n",
"In one study, economist Raj Chetty and colleagues did a [large-scale data analysis on \n",
"economic mobility in the US](https://doi.org/10.1093/qje/qju022).\n",
"His basic question was whether the US is a land of opportunity.\n",
"To answer this somewhat vague question, Chetty needed a way to measure economic mobility."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Chetty had access to 2011–2012 federal income tax records for everyone born in the US between 1980 and 1982, along with their parents' tax records filed in their birth year. They matched the 30-year-olds to their parents by finding the parents' 1980–1982 tax records that listed them as dependents. In total, his dataset had about 10 million people.\n",
"To measure economic mobility, Chetty grouped people born in a particular geographic region whose parents' income was in the 25th income percentile in 1980–1982. He then found the group's average income percentile in 2011. Chetty calls this average *absolute upward mobility* (AUM).\n",
"If a region's AUM is 25, then people born into the 25th percentile generally stay in the 25th percentile---they remain where their parents were when they were born.\n",
"High AUM values mean that the region has more upward mobility.\n",
"Those born into the 25th income percentile in these regions generally wind up in a higher income bracket than their parents.\n",
"For reference, the US average AUM is about 41 at the time of this writing.\n",
"Chetty calculated the AUM for regions called commuting zones (CZs), which are roughly on the \n",
"same scale as counties. \n",
"\n",
"While the granularity of the original data is an individual, the data Chetty analyzed has a granularity at the CZ level. Income records can't be publicly available because of privacy laws,\n",
"but the AUM for a commuting zone can be made available. However, even with the granularity of a commuting zone, not all commuting zones are included in the data set because with 40 features in the data, it might be possible to identify individuals in small CZs. This limitation points to a potential coverage bias. Measurement bias is another potential problem. For example, children born into the 25th income percentile who become extremely wealthy may not file income tax. \n",
"\n",
"We also point out the limitations of working with data that are regional averages rather than individual measurements. The relationships found among features are often more highly correlated at the aggregate level than at the individual level. This phenomenon is called *ecological regression*, and interpretations of findings from aggregated data need to be made with care. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Chetty had a hunch that some places in the US have higher economic mobility than others.\n",
"His analysis found this to be true.\n",
"He found that some cities—such as San Jose, Calif.; Washington, DC; and Seattle—have higher\n",
"mobility than others—such as Charlotte, N.C.; Milwaukee; and Atlanta.\n",
"This means that, for example, people move from low to high income brackets in San Jose \n",
"at a higher rate compared to Charlotte.\n",
"Chetty used linear models to find that social and economic\n",
"factors like segregation, income inequality, and local school systems \n",
"are related to economic mobility."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In this analysis, our outcome variable is the AUM for a commuting zone, since we are \n",
"interested in finding features that correlate with AUM.\n",
"There are many possible such features in Chetty's data, but\n",
"we first investigate one in particular: the fraction of people in a CZ who have a 15-minute or shorter commute to work."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Explaining Upward Mobility Using Commute Time"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We begin our investigation by loading the data into a data frame called `cz_df`:"
]
},
{
"cell_type": "code",
"execution_count": 76,
"metadata": {
"tags": [
"hide-input"
]
},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" aum \n",
" travel_lt15 \n",
" gini \n",
" rel_tot \n",
" ... \n",
" taxrate \n",
" worked_14 \n",
" foreign \n",
" region \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 38.39 \n",
" 0.33 \n",
" 0.47 \n",
" 0.51 \n",
" ... \n",
" 0.02 \n",
" 3.75e-03 \n",
" 1.18e-02 \n",
" South \n",
" \n",
" \n",
" 1 \n",
" 37.78 \n",
" 0.28 \n",
" 0.43 \n",
" 0.54 \n",
" ... \n",
" 0.02 \n",
" 4.78e-03 \n",
" 2.31e-02 \n",
" South \n",
" \n",
" \n",
" 2 \n",
" 39.05 \n",
" 0.36 \n",
" 0.44 \n",
" 0.67 \n",
" ... \n",
" 0.01 \n",
" 2.89e-03 \n",
" 7.08e-03 \n",
" South \n",
" \n",
" \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" ... \n",
" \n",
" \n",
" 702 \n",
" 44.12 \n",
" 0.42 \n",
" 0.42 \n",
" 0.29 \n",
" ... \n",
" 0.02 \n",
" 4.82e-03 \n",
" 9.85e-02 \n",
" West \n",
" \n",
" \n",
" 703 \n",
" 41.41 \n",
" 0.49 \n",
" 0.41 \n",
" 0.26 \n",
" ... \n",
" 0.01 \n",
" 4.39e-03 \n",
" 4.33e-02 \n",
" West \n",
" \n",
" \n",
" 704 \n",
" 43.20 \n",
" 0.24 \n",
" 0.42 \n",
" 0.32 \n",
" ... \n",
" 0.02 \n",
" 3.67e-03 \n",
" 1.13e-01 \n",
" West \n",
" \n",
" \n",
"
\n",
"
705 rows × 9 columns
\n",
"
"
],
"text/plain": [
" aum travel_lt15 gini rel_tot ... taxrate worked_14 foreign \\\n",
"0 38.39 0.33 0.47 0.51 ... 0.02 3.75e-03 1.18e-02 \n",
"1 37.78 0.28 0.43 0.54 ... 0.02 4.78e-03 2.31e-02 \n",
"2 39.05 0.36 0.44 0.67 ... 0.01 2.89e-03 7.08e-03 \n",
".. ... ... ... ... ... ... ... ... \n",
"702 44.12 0.42 0.42 0.29 ... 0.02 4.82e-03 9.85e-02 \n",
"703 41.41 0.49 0.41 0.26 ... 0.01 4.39e-03 4.33e-02 \n",
"704 43.20 0.24 0.42 0.32 ... 0.02 3.67e-03 1.13e-01 \n",
"\n",
" region \n",
"0 South \n",
"1 South \n",
"2 South \n",
".. ... \n",
"702 West \n",
"703 West \n",
"704 West \n",
"\n",
"[705 rows x 9 columns]"
]
},
"execution_count": 76,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cz_df"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Each row represents one commuting zone.\n",
"The column `aum` has the average AUM for people born in the commuting zone in 1980–82 to parents in the 25th income percentile.\n",
"There are many columns in this data frame, but for now we focus\n",
"on the fraction of people in a CZ that have a 15-minute or shorter commute time, \n",
"which is called `travel_lt15`.\n",
"We plot AUM against this fraction to look at the relationship between the two variables:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Commute time under 15 min=%{x} Upward mobility=%{y} ",
"legendgroup": "",
"marker": {
"color": "#1F77B4",
"symbol": "circle"
},
"mode": "markers",
"name": "",
"orientation": "v",
"showlegend": false,
"type": "scatter",
"x": [
0.32525778,
0.2764278,
0.35853583,
0.2685696,
0.36645904,
0.4420622,
0.341262,
0.22355227,
0.3043648,
0.23965494,
0.37046406,
0.33030298,
0.3189429,
0.3667996,
0.37998283,
0.25609827,
0.33829397,
0.3426816,
0.40285593,
0.2918141,
0.30493262,
0.2893356,
0.28839767,
0.24078022,
0.37488598,
0.3149605,
0.32150075,
0.4157828,
0.41210684,
0.31397945,
0.36084786,
0.3216631,
0.31749415,
0.36009496,
0.24953716,
0.3449313,
0.34841287,
0.3751614,
0.38675317,
0.3573749,
0.31302428,
0.325102,
0.25349888,
0.31821972,
0.30880636,
0.23800687,
0.2896524,
0.31955734,
0.31688547,
0.20472974,
0.30963078,
0.33401754,
0.37765726,
0.3441178,
0.30138448,
0.28161335,
0.39325953,
0.29897046,
0.3400332,
0.3266602,
0.33009306,
0.2802462,
0.34884447,
0.26893827,
0.30834264,
0.29765528,
0.31957796,
0.35821846,
0.36452004,
0.41743925,
0.26701233,
0.3413475,
0.32050097,
0.41761458,
0.37889048,
0.4349828,
0.41005903,
0.49759427,
0.341017,
0.37188208,
0.29867446,
0.33260566,
0.36216098,
0.4371204,
0.36904487,
0.24744412,
0.41435164,
0.25823426,
0.34275573,
0.36925656,
0.33869123,
0.34137037,
0.393187,
0.31190526,
0.46352422,
0.3058428,
0.46306646,
0.50150377,
0.39600348,
0.43696898,
0.2925001,
0.52899474,
0.42121187,
0.41588652,
0.39342672,
0.41865468,
0.36435935,
0.37465376,
0.4754061,
0.4420216,
0.40366495,
0.3707165,
0.3780724,
0.38368863,
0.34482476,
0.34997872,
0.29461363,
0.3150889,
0.4042495,
0.37189993,
0.37457374,
0.3755934,
0.32241055,
0.3454203,
0.32325742,
0.3529316,
0.3384063,
0.2605531,
0.37257078,
0.3869692,
0.2951308,
0.3428911,
0.4013627,
0.37815538,
0.52054614,
0.2862431,
0.3278927,
0.33000487,
0.33883145,
0.37987447,
0.36089605,
0.32030433,
0.21974465,
0.3428588,
0.33737344,
0.266944,
0.38977346,
0.27793345,
0.4092519,
0.2920968,
0.30091387,
0.27507958,
0.3412246,
0.45843533,
0.43026435,
0.42229593,
0.40961808,
0.34755963,
0.41252002,
0.39800283,
0.29663444,
0.2939857,
0.39064538,
0.35957405,
0.3425329,
0.17752787,
0.31524462,
0.32299474,
0.4069344,
0.2689977,
0.2935708,
0.32512566,
0.40936196,
0.38959065,
0.38913774,
0.35007748,
0.38783395,
0.2642139,
0.2888854,
0.31855217,
0.19789544,
0.26033628,
0.27346528,
0.29973266,
0.2122663,
0.3028328,
0.2291092,
0.3389803,
0.27328452,
0.32091722,
0.27515832,
0.35811523,
0.30913886,
0.26330662,
0.34572792,
0.34341437,
0.38825363,
0.33587077,
0.3771066,
0.3301345,
0.3292134,
0.27996415,
0.26763567,
0.19922338,
0.37268573,
0.32023996,
0.16001946,
0.50074124,
0.52502495,
0.5385239,
0.35553092,
0.24303986,
0.35557836,
0.46744108,
0.3755348,
0.4067705,
0.49251708,
0.3602356,
0.34351888,
0.35621554,
0.4284982,
0.47168544,
0.457118,
0.5498323,
0.5536103,
0.34086004,
0.3453473,
0.25785452,
0.45667943,
0.44458678,
0.34518144,
0.43708736,
0.37781855,
0.3615688,
0.26842758,
0.34563473,
0.37769872,
0.32247505,
0.35946018,
0.27109453,
0.4026722,
0.3737756,
0.46360236,
0.31381983,
0.410579,
0.3852997,
0.4048818,
0.43856436,
0.4505857,
0.4172296,
0.3523472,
0.2620311,
0.40371418,
0.3913478,
0.42942014,
0.39673117,
0.3662573,
0.48753887,
0.27669883,
0.48557508,
0.48074383,
0.4847138,
0.49560985,
0.45097688,
0.5088317,
0.3925763,
0.3939758,
0.4096283,
0.20125769,
0.40019783,
0.47180519,
0.3665393,
0.3362373,
0.49627927,
0.40696958,
0.4175354,
0.42924035,
0.39699185,
0.3909449,
0.28716722,
0.42661795,
0.2978096,
0.53040016,
0.39628565,
0.35085753,
0.41435942,
0.3290914,
0.3438971,
0.31366828,
0.24631841,
0.3778182,
0.40543783,
0.3633454,
0.3325588,
0.41062704,
0.45545396,
0.47089395,
0.4695423,
0.41593364,
0.31707057,
0.3010327,
0.15607288,
0.26260763,
0.23400941,
0.25115648,
0.35761428,
0.40315193,
0.4930646,
0.5120122,
0.36337578,
0.36588266,
0.43288517,
0.38322997,
0.32803524,
0.5756468,
0.2510138,
0.3416439,
0.47936112,
0.30112752,
0.40720373,
0.30783784,
0.53262043,
0.5089833,
0.49901134,
0.35577303,
0.5123399,
0.4453722,
0.42743024,
0.4472828,
0.46045163,
0.46287337,
0.44968557,
0.4606754,
0.3653489,
0.3842089,
0.3119471,
0.46402586,
0.57129306,
0.5625745,
0.54410493,
0.39809477,
0.26446813,
0.34180033,
0.42037457,
0.4685951,
0.5554289,
0.53256005,
0.4374565,
0.6184211,
0.65021396,
0.44868138,
0.53399986,
0.5262953,
0.43521607,
0.5494454,
0.62099624,
0.5888279,
0.57563674,
0.5804925,
0.54179525,
0.53489393,
0.49214053,
0.561379,
0.4318752,
0.42020127,
0.49277654,
0.5243135,
0.50160867,
0.47918537,
0.5172023,
0.62892896,
0.59775925,
0.6142766,
0.572054,
0.383941,
0.5557936,
0.55686426,
0.6114603,
0.45376635,
0.54962707,
0.4626409,
0.36840665,
0.24077596,
0.46259817,
0.4160066,
0.4361172,
0.4009653,
0.46753573,
0.5590289,
0.47499463,
0.49655637,
0.40521705,
0.57478166,
0.28136763,
0.40575683,
0.43661934,
0.5690141,
0.46832788,
0.4216103,
0.33579132,
0.34411243,
0.36279207,
0.4538805,
0.467341,
0.5411485,
0.6459865,
0.62678313,
0.6557502,
0.5739002,
0.6059108,
0.6646943,
0.70401496,
0.6586991,
0.63666123,
0.70195603,
0.5817688,
0.61343956,
0.5183942,
0.6059008,
0.66668606,
0.70004594,
0.6966601,
0.73525375,
0.7137536,
0.6642,
0.53764224,
0.68453693,
0.75488985,
0.6934186,
0.4458784,
0.7302986,
0.52713996,
0.47197843,
0.61005044,
0.59948653,
0.45032027,
0.46749657,
0.63987213,
0.6317204,
0.4391498,
0.59493196,
0.5632037,
0.50460404,
0.7080196,
0.6763889,
0.6731831,
0.5825769,
0.64066476,
0.6704858,
0.6125218,
0.5997028,
0.7666386,
0.4844579,
0.5782872,
0.6689304,
0.46532074,
0.5881501,
0.6531482,
0.65830874,
0.6700835,
0.6423873,
0.6140052,
0.5808745,
0.59879696,
0.6282241,
0.56149614,
0.551127,
0.4342186,
0.5138897,
0.3492777,
0.6137255,
0.7036415,
0.6303481,
0.5975076,
0.68097055,
0.60280573,
0.64216596,
0.6340648,
0.5644991,
0.6240951,
0.7551749,
0.61737865,
0.7658031,
0.6318164,
0.5828697,
0.5363045,
0.72247076,
0.52846116,
0.48790476,
0.54548913,
0.63988185,
0.31127548,
0.4396424,
0.5787301,
0.65506715,
0.6439208,
0.42429805,
0.45787764,
0.38774064,
0.23026633,
0.55192363,
0.46530643,
0.64413136,
0.5018227,
0.5494353,
0.6449413,
0.735357,
0.65189165,
0.7202751,
0.715699,
0.7057755,
0.6202724,
0.5901236,
0.52236915,
0.71123105,
0.63035333,
0.6706587,
0.62020344,
0.690014,
0.59440833,
0.57780474,
0.5573092,
0.5583453,
0.39708364,
0.34423935,
0.5628123,
0.50409967,
0.4442429,
0.5953574,
0.52943903,
0.42542025,
0.5860991,
0.68491906,
0.6578268,
0.64235175,
0.388453,
0.5679696,
0.3232224,
0.36882067,
0.5557114,
0.5608145,
0.6092894,
0.4721783,
0.62108934,
0.5375895,
0.4418988,
0.6037397,
0.3820066,
0.30477563,
0.4584246,
0.42256686,
0.28015858,
0.44891194,
0.60730106,
0.43824726,
0.5486972,
0.6403857,
0.60065377,
0.6118284,
0.6321731,
0.6109317,
0.42464048,
0.45704585,
0.49201703,
0.2485562,
0.34862068,
0.24248601,
0.4660068,
0.4710473,
0.4615976,
0.6319042,
0.6635945,
0.705159,
0.6063865,
0.54423356,
0.32662904,
0.34349677,
0.386549,
0.45106107,
0.29139814,
0.21048556,
0.3366587,
0.41073385,
0.43937796,
0.47916168,
0.5768593,
0.54236037,
0.5802659,
0.5153679,
0.52576244,
0.6327747,
0.5884131,
0.6082772,
0.48746526,
0.7573392,
0.61223024,
0.44143727,
0.5476732,
0.67792666,
0.49511185,
0.5229852,
0.3629262,
0.37659708,
0.38324025,
0.2399905,
0.21758819,
0.39020595,
0.32957885,
0.36094573,
0.3986169,
0.37160692,
0.4467972,
0.59960747,
0.51030076,
0.5387356,
0.7024163,
0.5978951,
0.61724406,
0.5373051,
0.37061316,
0.6886608,
0.2734511,
0.5646302,
0.38797277,
0.36381748,
0.68698794,
0.8120092,
0.7520533,
0.54718125,
0.8047803,
0.55648446,
0.47681305,
0.4383788,
0.5047919,
0.5356949,
0.34228542,
0.5606565,
0.51683867,
0.5815096,
0.5750541,
0.55506027,
0.2351303,
0.37028664,
0.38429752,
0.34572092,
0.24155079,
0.5298335,
0.2913961,
0.46096477,
0.46757114,
0.48980415,
0.7298086,
0.6916519,
0.42894313,
0.4618318,
0.2583352,
0.5298791,
0.38113225,
0.49005958,
0.64519554,
0.6440992,
0.47448656,
0.5785124,
0.57488567,
0.5772378,
0.75195473,
0.6326379,
0.4540285,
0.29426098,
0.52790046,
0.5574976,
0.5280726,
0.4240008,
0.497276,
0.62554675,
0.37187475,
0.36173278,
0.35126826,
0.44212058,
0.28484643,
0.24386857,
0.5519957,
0.34937438,
0.21192776,
0.63956773,
0.24665284,
0.44996384,
0.44785723,
0.22455458,
0.51305383,
0.49587604,
0.3778208,
0.24548276,
0.55736583,
0.5120552,
0.5034644,
0.34805104,
0.42681125,
0.44828868,
0.42654842,
0.45301,
0.6275082,
0.41837507,
0.48626772,
0.23958597
],
"xaxis": "x",
"y": [
38.3875,
37.776752,
39.04925,
37.841248,
37.32325,
36.49925,
40.99425,
33.74725,
39.436253,
38.20225,
39.182747,
39.722248,
39.189503,
39.343998,
41.246,
37.94875,
40.566998,
39.1795,
39.81125,
36.96925,
36.47725,
38.344498,
35.43425,
35.835,
40.01675,
37.55075,
35.5565,
41.238,
40.59225,
39.013,
40.83275,
34.774998,
35.8625,
35.0385,
36.93225,
33.47,
37.61975,
37.20775,
37.50625,
35.58675,
37.29525,
40.813,
37.92725,
37.989,
39.2425,
37.87175,
38.0525,
44.031,
43.634,
41.8675,
39.631252,
39.63375,
44.126247,
41.866,
41.65575,
39.23275,
38.47075,
36.406,
34.9235,
35.914,
36.382,
35.94475,
35.00675,
37.687,
37.081753,
39.334,
40.06675,
39.39125,
37.347248,
34.79875,
36.3725,
39.6185,
40.479248,
38.7735,
35.33125,
35.5705,
34.24675,
33.6105,
37.740753,
39.048252,
39.2955,
37.3035,
36.02175,
36.79075,
48.58875,
38.17975,
43.974,
39.294502,
40.066998,
42.56025,
43.189003,
37.8895,
40.5265,
38.13575,
40.35225,
46.5605,
38.56225,
38.56775,
36.637253,
37.579002,
37.99,
39.83075,
41.313,
35.2185,
43.692497,
44.715748,
44.7415,
44.11525,
37.836502,
41.0625,
42.670498,
42.63875,
43.04425,
40.13475,
39.095497,
38.85325,
38.44575,
42.679,
41.917,
39.055,
40.35225,
42.371998,
40.089752,
36.947,
38.977,
39.6525,
42.36275,
37.8755,
44.11525,
43.34475,
43.22125,
39.776,
43.0685,
41.089752,
41.934498,
38.46875,
41.170498,
41.46725,
37.9475,
35.75,
39.018,
41.94475,
37.5835,
36.855247,
37.42325,
38.0195,
39.17925,
35.841248,
42.23425,
40.678,
37.42175,
36.209,
34.6975,
36.7755,
35.2625,
36.121998,
37.603,
36.181,
37.0335,
36.17225,
36.083252,
35.454502,
38.273,
33.139,
34.9255,
35.96825,
36.1525,
35.496502,
38.06775,
39.54725,
37.601,
35.243248,
34.5395,
37.458748,
36.29575,
34.5305,
35.21525,
39.1325,
39.422752,
39.22875,
41.452,
38.99625,
39.508,
39.416252,
39.114,
39.173,
37.532,
38.742,
38.9505,
38.562252,
37.873753,
39.184998,
39.736,
44.55225,
41.542503,
45.4145,
44.84525,
43.9715,
46.56725,
43.44,
46.493,
42.339,
47.0525,
38.831753,
43.719498,
39.89025,
43.231,
45.139,
46.27825,
42.14875,
40.1865,
37.3315,
39.50525,
41.836002,
40.90725,
41.5415,
42.23825,
37.98175,
40.1235,
41.667,
42.1125,
41.988003,
42.007,
46.68575,
46.2015,
38.26225,
38.66925,
37.85575,
44.022,
44.66275,
39.38775,
43.70225,
41.75725,
39.6395,
38.2025,
41.222,
41.03725,
38.33475,
40.422752,
37.689,
40.429752,
41.34925,
37.3145,
43.46,
40.8025,
39.22675,
42.16475,
42.8755,
40.443253,
37.95125,
40.56,
37.225002,
39.68975,
42.25225,
43.061,
41.2375,
43.605247,
45.0425,
40.69775,
47.32275,
43.85575,
47.42025,
44.164497,
42.003002,
44.16225,
43.648003,
42.386997,
42.562,
39.4075,
41.476,
44.918,
41.25325,
42.7745,
45.5385,
44.858997,
42.75275,
44.479,
47.519253,
47.1315,
45.18525,
43.7085,
42.8775,
48.175247,
47.92925,
45.8795,
47.100502,
44.842747,
45.528748,
43.94625,
40.84525,
42.342,
44.63575,
43.73,
41.96975,
44.19925,
45.07825,
44.70575,
43.59925,
43.411503,
43.1495,
42.55075,
43.755753,
45.21525,
44.064,
37.72175,
38.69225,
41.7775,
38.9405,
43.637,
42.808,
43.807503,
44.84325,
44.2665,
43.368748,
43.4,
44.610252,
41.49175,
42.5115,
44.238003,
43.1825,
42.44825,
46.2015,
45.74925,
46.72575,
46.9005,
47.17975,
47.7495,
47.2485,
44.2355,
49.187,
49.02525,
47.68475,
51.01625,
44.4935,
40.48025,
39.3125,
52.64875,
56.181,
51.87625,
48.53875,
51.0245,
44.16875,
47.1435,
45.69625,
50.495003,
49.126,
53.68625,
44.915,
48.973,
56.08175,
44.86275,
54.8695,
52.7865,
51.952503,
51.92075,
55.25975,
54.33975,
52.0165,
49.992,
56.56,
48.41925,
48.92125,
51.999252,
47.033,
47.5205,
49.188,
53.552498,
46.6545,
48.34275,
50.0485,
58.293247,
53.884,
54.79675,
49.67425,
45.3075,
48.49925,
53.17575,
55.488,
48.57475,
51.02025,
42.902,
42.05625,
38.41675,
44.908752,
43.988503,
41.414753,
41.07575,
45.09775,
44.754498,
48.562,
45.55225,
47.695,
47.20625,
40.074497,
43.343998,
43.24525,
50.57175,
48.45,
42.7885,
42.33075,
41.9415,
42.5855,
43.05075,
44.162003,
54.562748,
63.549747,
47.503498,
59.4075,
40.819,
56.233,
59.953003,
61.26925,
64.01925,
55.6295,
61.42575,
56.749504,
50.80875,
50.44725,
59.829998,
56.4975,
43.589252,
51.10375,
57.0415,
43.0255,
40.38375,
47.07475,
50.31625,
51.15875,
44.018,
47.975002,
51.227253,
47.36675,
45.646748,
47.104,
47.7105,
44.601498,
45.63475,
53.75625,
54.305,
49.384003,
54.8025,
48.647247,
33.3845,
51.74825,
54.7185,
52.3025,
57.622,
52.27,
52.12225,
51.085247,
40.95175,
46.671,
45.67875,
35.227753,
46.106247,
26.671751,
34.812,
57.44475,
57.8435,
56.486004,
49.6815,
52.2355,
55.72125,
51.48225,
54.85975,
50.26825,
46.50425,
45.454002,
52.616,
43.1105,
53.534748,
52.341,
55.51225,
48.2915,
52.444,
52.82525,
51.37925,
59.49575,
46.08025,
50.8805,
49.17025,
52.65875,
50.44075,
46.435,
45.095753,
55.507004,
49.41725,
50.33625,
50.3535,
52.637,
51.841,
41.802,
40.9385,
44.8135,
55.8315,
48.0925,
47.4525,
42.6965,
45.168503,
42.2035,
45.211002,
47.06675,
49.56725,
45.986248,
51.55075,
54.8095,
51.3455,
53.431248,
56.40675,
50.73725,
52.084503,
47.502,
50.534252,
45.413002,
53.1725,
50.17475,
52.789253,
52.80275,
55.49575,
43.85675,
56.5955,
57.6045,
43.97425,
42.225502,
41.41225,
48.08675,
45.108,
44.889248,
46.13525,
43.5595,
42.4705,
46.53875,
48.8745,
53.8885,
49.009003,
41.0185,
45.829,
41.63525,
42.057,
53.25325,
50.01375,
50.389,
44.0465,
45.640503,
45.5925,
46.164497,
50.9175,
45.3625,
42.16,
45.46125,
43.3355,
43.7425,
41.37175,
46.666,
42.8265,
50.636497,
51.145252,
47.8355,
44.4955,
56.0535,
47.826252,
45.82475,
48.797,
43.693,
40.41475,
43.2455,
41.1115,
45.529,
44.6865,
50.738,
53.3905,
52.13625,
51.93375,
44.975998,
45.28525,
44.91075,
44.0965,
44.12325,
41.68525,
45.48125,
42.75925,
43.287,
41.633,
43.423748,
43.65,
48.008,
41.0135,
45.93075,
47.65725,
46.4785,
47.902252,
47.192497,
50.061752,
45.11225,
44.4785,
49.15625,
43.85625,
50.5315,
43.175503,
45.174,
47.92175,
40.0335,
44.1675,
40.486248,
42.32,
40.35025,
41.428,
42.885,
43.82325,
40.905502,
41.589252,
42.2035,
40.84575,
41.51075,
43.9285,
44.7825,
49.13125,
43.73175,
41.96175,
40.07475,
43.63525,
39.25025,
41.2165,
41.70875,
45.46975,
45.864002,
41.27775,
45.727,
43.2835,
41.2385,
41.495,
45.55325,
46.2025,
45.4935,
48.723,
42.66275,
44.324,
46.37075,
48.43925,
53.61475,
44.97975,
44.83,
43.57775,
42.15075,
40.14925,
40.2865,
44.6755,
39.88975,
41.59775,
34.087997,
44.18175,
43.968,
47.887,
40.8145,
40.773247,
41.28225,
43.173252,
40.47475,
41.12,
45.394753,
47.677,
41.488,
49.7175,
46.24925,
50.045998,
46.07325,
50.96325,
49.30675,
46.1525,
50.52225,
56.553745,
43.292,
41.80125,
39.31625,
39.539497,
42.3645,
45.296,
41.33875,
42.83625,
42.65525,
44.7465,
44.582,
42.29,
44.36425,
44.950752,
44.27025,
44.0365,
44.71125,
43.37825,
46.92525,
47.21575,
41.37575,
40.03825,
48.2165,
45.13625,
44.95325,
43.08425,
42.31525,
41.164997,
43.18075,
44.05825,
39.10275,
44.122753,
41.405502,
43.20175
],
"yaxis": "y"
}
],
"layout": {
"height": 250,
"legend": {
"tracegroupgap": 0
},
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "rgb(36,36,36)"
},
"error_y": {
"color": "rgb(36,36,36)"
},
"marker": {
"line": {
"color": "white",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "white",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "rgb(36,36,36)",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "rgb(36,36,36)"
},
"baxis": {
"endlinecolor": "rgb(36,36,36)",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "rgb(36,36,36)"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"colorscale": [
[
0,
"#440154"
],
[
0.1111111111111111,
"#482878"
],
[
0.2222222222222222,
"#3e4989"
],
[
0.3333333333333333,
"#31688e"
],
[
0.4444444444444444,
"#26828e"
],
[
0.5555555555555556,
"#1f9e89"
],
[
0.6666666666666666,
"#35b779"
],
[
0.7777777777777778,
"#6ece58"
],
[
0.8888888888888888,
"#b5de2b"
],
[
1,
"#fde725"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"colorscale": [
[
0,
"#440154"
],
[
0.1111111111111111,
"#482878"
],
[
0.2222222222222222,
"#3e4989"
],
[
0.3333333333333333,
"#31688e"
],
[
0.4444444444444444,
"#26828e"
],
[
0.5555555555555556,
"#1f9e89"
],
[
0.6666666666666666,
"#35b779"
],
[
0.7777777777777778,
"#6ece58"
],
[
0.8888888888888888,
"#b5de2b"
],
[
1,
"#fde725"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"colorscale": [
[
0,
"#440154"
],
[
0.1111111111111111,
"#482878"
],
[
0.2222222222222222,
"#3e4989"
],
[
0.3333333333333333,
"#31688e"
],
[
0.4444444444444444,
"#26828e"
],
[
0.5555555555555556,
"#1f9e89"
],
[
0.6666666666666666,
"#35b779"
],
[
0.7777777777777778,
"#6ece58"
],
[
0.8888888888888888,
"#b5de2b"
],
[
1,
"#fde725"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"line": {
"color": "white",
"width": 0.6
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"colorscale": [
[
0,
"#440154"
],
[
0.1111111111111111,
"#482878"
],
[
0.2222222222222222,
"#3e4989"
],
[
0.3333333333333333,
"#31688e"
],
[
0.4444444444444444,
"#26828e"
],
[
0.5555555555555556,
"#1f9e89"
],
[
0.6666666666666666,
"#35b779"
],
[
0.7777777777777778,
"#6ece58"
],
[
0.8888888888888888,
"#b5de2b"
],
[
1,
"#fde725"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"colorscale": [
[
0,
"#440154"
],
[
0.1111111111111111,
"#482878"
],
[
0.2222222222222222,
"#3e4989"
],
[
0.3333333333333333,
"#31688e"
],
[
0.4444444444444444,
"#26828e"
],
[
0.5555555555555556,
"#1f9e89"
],
[
0.6666666666666666,
"#35b779"
],
[
0.7777777777777778,
"#6ece58"
],
[
0.8888888888888888,
"#b5de2b"
],
[
1,
"#fde725"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"colorscale": [
[
0,
"#440154"
],
[
0.1111111111111111,
"#482878"
],
[
0.2222222222222222,
"#3e4989"
],
[
0.3333333333333333,
"#31688e"
],
[
0.4444444444444444,
"#26828e"
],
[
0.5555555555555556,
"#1f9e89"
],
[
0.6666666666666666,
"#35b779"
],
[
0.7777777777777778,
"#6ece58"
],
[
0.8888888888888888,
"#b5de2b"
],
[
1,
"#fde725"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "rgb(237,237,237)"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "rgb(217,217,217)"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowhead": 0,
"arrowwidth": 1
},
"autosize": true,
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"colorscale": {
"diverging": [
[
0,
"rgb(103,0,31)"
],
[
0.1,
"rgb(178,24,43)"
],
[
0.2,
"rgb(214,96,77)"
],
[
0.3,
"rgb(244,165,130)"
],
[
0.4,
"rgb(253,219,199)"
],
[
0.5,
"rgb(247,247,247)"
],
[
0.6,
"rgb(209,229,240)"
],
[
0.7,
"rgb(146,197,222)"
],
[
0.8,
"rgb(67,147,195)"
],
[
0.9,
"rgb(33,102,172)"
],
[
1,
"rgb(5,48,97)"
]
],
"sequential": [
[
0,
"#440154"
],
[
0.1111111111111111,
"#482878"
],
[
0.2222222222222222,
"#3e4989"
],
[
0.3333333333333333,
"#31688e"
],
[
0.4444444444444444,
"#26828e"
],
[
0.5555555555555556,
"#1f9e89"
],
[
0.6666666666666666,
"#35b779"
],
[
0.7777777777777778,
"#6ece58"
],
[
0.8888888888888888,
"#b5de2b"
],
[
1,
"#fde725"
]
],
"sequentialminus": [
[
0,
"#440154"
],
[
0.1111111111111111,
"#482878"
],
[
0.2222222222222222,
"#3e4989"
],
[
0.3333333333333333,
"#31688e"
],
[
0.4444444444444444,
"#26828e"
],
[
0.5555555555555556,
"#1f9e89"
],
[
0.6666666666666666,
"#35b779"
],
[
0.7777777777777778,
"#6ece58"
],
[
0.8888888888888888,
"#b5de2b"
],
[
1,
"#fde725"
]
]
},
"colorway": [
"#1F77B4",
"#FF7F0E",
"#2CA02C",
"#D62728",
"#9467BD",
"#8C564B",
"#E377C2",
"#7F7F7F",
"#BCBD22",
"#17BECF"
],
"font": {
"color": "rgb(36,36,36)"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "white",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"height": 250,
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"margin": {
"b": 10,
"l": 10,
"r": 10,
"t": 10
},
"paper_bgcolor": "white",
"plot_bgcolor": "white",
"polar": {
"angularaxis": {
"gridcolor": "rgb(232,232,232)",
"linecolor": "rgb(36,36,36)",
"showgrid": false,
"showline": true,
"ticks": "outside"
},
"bgcolor": "white",
"radialaxis": {
"gridcolor": "rgb(232,232,232)",
"linecolor": "rgb(36,36,36)",
"showgrid": false,
"showline": true,
"ticks": "outside"
}
},
"scene": {
"xaxis": {
"backgroundcolor": "white",
"gridcolor": "rgb(232,232,232)",
"gridwidth": 2,
"linecolor": "rgb(36,36,36)",
"showbackground": true,
"showgrid": false,
"showline": true,
"ticks": "outside",
"zeroline": false,
"zerolinecolor": "rgb(36,36,36)"
},
"yaxis": {
"backgroundcolor": "white",
"gridcolor": "rgb(232,232,232)",
"gridwidth": 2,
"linecolor": "rgb(36,36,36)",
"showbackground": true,
"showgrid": false,
"showline": true,
"ticks": "outside",
"zeroline": false,
"zerolinecolor": "rgb(36,36,36)"
},
"zaxis": {
"backgroundcolor": "white",
"gridcolor": "rgb(232,232,232)",
"gridwidth": 2,
"linecolor": "rgb(36,36,36)",
"showbackground": true,
"showgrid": false,
"showline": true,
"ticks": "outside",
"zeroline": false,
"zerolinecolor": "rgb(36,36,36)"
}
},
"shapedefaults": {
"fillcolor": "black",
"line": {
"width": 0
},
"opacity": 0.3
},
"ternary": {
"aaxis": {
"gridcolor": "rgb(232,232,232)",
"linecolor": "rgb(36,36,36)",
"showgrid": false,
"showline": true,
"ticks": "outside"
},
"baxis": {
"gridcolor": "rgb(232,232,232)",
"linecolor": "rgb(36,36,36)",
"showgrid": false,
"showline": true,
"ticks": "outside"
},
"bgcolor": "white",
"caxis": {
"gridcolor": "rgb(232,232,232)",
"linecolor": "rgb(36,36,36)",
"showgrid": false,
"showline": true,
"ticks": "outside"
}
},
"title": {
"x": 0.5,
"xanchor": "center"
},
"width": 350,
"xaxis": {
"automargin": true,
"gridcolor": "rgb(232,232,232)",
"linecolor": "rgb(36,36,36)",
"showgrid": true,
"showline": true,
"ticks": "outside",
"title": {
"standoff": 15
},
"zeroline": false,
"zerolinecolor": "rgb(36,36,36)"
},
"yaxis": {
"automargin": true,
"gridcolor": "rgb(232,232,232)",
"linecolor": "rgb(36,36,36)",
"showgrid": true,
"showline": true,
"ticks": "outside",
"title": {
"standoff": 15
},
"zeroline": false,
"zerolinecolor": "rgb(36,36,36)"
}
}
},
"width": 350,
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
0.10857587300970874,
0.8595062069902912
],
"title": {
"text": "Commute time under 15 min"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
23.595509126126124,
67.09549187387387
],
"title": {
"text": "Upward mobility"
},
"type": "linear"
}
}
},
"image/png": "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",
"image/svg+xml": [
"0.2 0.4 0.6 0.8 30 40 50 60 Commute time under 15 min Upward mobility "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"px.scatter(cz_df, x='travel_lt15', y='aum', width=350, height=250,\n",
" labels={'travel_lt15':'Commute time under 15 min', \n",
" 'aum':'Upward mobility'})"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The scatter plot shows a rough linear association between AUM and commute time. \n",
"Indeed, we find the correlation to be quite strong:"
]
},
{
"cell_type": "code",
"execution_count": 78,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" aum \n",
" travel_lt15 \n",
" \n",
" \n",
" \n",
" \n",
" aum \n",
" 1.00 \n",
" 0.68 \n",
" \n",
" \n",
" travel_lt15 \n",
" 0.68 \n",
" 1.00 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" aum travel_lt15\n",
"aum 1.00 0.68\n",
"travel_lt15 0.68 1.00"
]
},
"execution_count": 78,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cz_df[['aum', 'travel_lt15']].corr()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's fit a simple linear model to explain AUM with commute time:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.linear_model import LinearRegression\n",
"\n",
"y = cz_df['aum']\n",
"X = cz_df[['travel_lt15']]\n",
"\n",
"model_ct = LinearRegression().fit(X, y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The coefficients from the MSE minimization are:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"tags": [
"hide-input"
]
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Intercept: 31.3\n",
" Slope: 28.7\n"
]
}
],
"source": [
"print(f\"Intercept: {model_ct.intercept_:.1f}\")\n",
"print(f\" Slope: {model_ct.coef_[0]:.1f}\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Interestingly, an increase in upward mobility of a CZ is associated with an increase in the fraction of people with a short commute time. \n",
"\n",
"We can compare the SD of the AUM measurements to the SD of the residuals. This comparison gives us a sense of how useful the model is in explaining the AUM:"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SD(errors): 4.14\n",
" SD(AUM): 5.61\n"
]
}
],
"source": [
"prediction = model_ct.predict(X)\n",
"error = y - prediction\n",
"\n",
"print(f\"SD(errors): {np.std(error):.2f}\")\n",
"print(f\" SD(AUM): {np.std(cz_df['aum']):.2f}\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The size of the errors about the regression line has decreased from the constant model by about 25%. \n",
"\n",
"Next, we examine the residuals for lack of fit since it can be easier to see potential problems with the fit in a residual plot:"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Prediction for AUM=%{x} Error=%{y} ",
"legendgroup": "",
"marker": {
"color": "#1F77B4",
"symbol": "circle"
},
"mode": "markers",
"name": "",
"orientation": "v",
"showlegend": false,
"type": "scatter",
"x": [
40.59306569472191,
39.1936317568089,
41.54679192106003,
38.968421101983566,
41.77386571816606,
43.940600742785506,
41.0517357293569,
37.67825511387075,
39.99428713130374,
38.13974665838937,
41.88864686102175,
40.73765768725515,
40.41208553896824,
41.78362593559592,
42.16144831998585,
38.61100128626968,
40.9666740129535,
41.09242049757227,
42.816975772695805,
39.63459262549881,
40.01056046540353,
39.56356050516787,
39.53668007078336,
38.17199641605167,
42.01537607366399,
40.297952669891814,
40.48539177620387,
43.187451054254176,
43.082100546668244,
40.26983644570353,
41.61305312467864,
40.49004461652492,
40.37056535162532,
41.59147552395354,
38.422964346578524,
41.15689536588315,
41.25667478859067,
42.023269423101766,
42.355481648838534,
41.51352045870142,
40.24246192467206,
40.58860114612188,
38.536504540953146,
40.39135969318211,
40.121579212956796,
38.092514095728966,
39.57263977719565,
40.429694970485755,
40.35312099778104,
37.13881423596366,
40.14520652812453,
40.844114444526284,
42.09479906919787,
41.13358101047092,
39.908873191878804,
39.34224608466127,
42.541949490854435,
39.839689024389884,
41.01651915906734,
40.63325809584941,
40.73164152316402,
39.303064497689135,
41.26904415035579,
38.97898693284998,
40.10828931388886,
39.80199686218821,
40.43028592562847,
41.537696313220835,
41.71829530004151,
43.23492378200167,
38.92379080542203,
41.05418610106894,
40.45673876298439,
43.239948620273864,
42.13014231367417,
43.73770996502845,
43.023411708122794,
45.5321120110793,
41.04471419638087,
41.92928634751425,
39.83120586618211,
40.803650926247954,
41.65068624868468,
43.79897212376132,
41.847973843126866,
38.36297924706775,
43.146434984319605,
38.67221730350014,
41.09454501283559,
41.85404073421133,
40.97805921372923,
41.05484153967777,
42.53987083050035,
40.210391574342125,
44.55568760467174,
40.036645603706056,
44.542568515140694,
45.64415561585388,
42.620589227220016,
43.794632529788956,
39.654252917831684,
46.43202807462098,
43.34304449929154,
43.190423598745085,
42.54674104227591,
43.26975717720597,
41.71369003418879,
42.00872080677544,
44.89621418523167,
43.93943717446376,
42.84016173436219,
41.8958816193257,
42.106696698584265,
42.26765402162894,
41.15384200211472,
41.30155098210296,
39.714825246773806,
40.30163252635762,
42.85691453885663,
41.929797916345365,
42.006427488127514,
42.035650248594195,
40.511466023965454,
41.170909772516936,
40.53573674082834,
41.38617850983458,
40.969893314174705,
38.73867367707617,
41.949024020006455,
42.361672921364296,
39.72964698640324,
41.09842462474973,
42.77418081887625,
42.10907484881427,
46.18989695828934,
39.47493156341946,
40.66858070561656,
40.72911405788584,
40.98207782333698,
42.15834279625817,
41.61443421722605,
40.451103194639884,
37.56913132044146,
41.097498928769625,
40.940292250706875,
38.92183251420468,
42.442041101214706,
39.23678265936137,
43.00027991256794,
39.642694614773596,
39.895385830108,
39.1549926907316,
41.05066387085362,
44.40984348652329,
43.60248240473976,
43.37411291985476,
43.01077438173186,
41.23222151187041,
43.093942003790836,
42.67788923520213,
39.77274028372598,
39.69682920105284,
42.46702973400024,
41.576546598473776,
41.0881588569456,
36.35922718610827,
40.30609535539854,
40.52820851110531,
42.93386194247839,
38.980690156134735,
39.68493844990283,
40.589279225592136,
43.00343415713668,
42.436801891241856,
42.42382179940442,
41.304381376375254,
42.38645606683784,
38.843589709397136,
39.55065808008294,
40.40088748354081,
36.942947857114454,
38.73245976368898,
39.10872795324916,
39.86153315677489,
37.35480690766079,
39.95038105571488,
37.83751293934204,
40.986343762861395,
39.10354749487877,
40.46866820421407,
39.15724932545214,
41.53473781179588,
40.1311084362814,
38.81758768311759,
41.179725952003,
41.113421186220606,
42.39848380952918,
40.89722675292286,
42.079017528999586,
40.732829165313106,
40.70643106725508,
39.294981136971224,
38.941655304872135,
36.98100571221725,
41.95231840864153,
40.449258394322875,
35.857448091525484,
45.622302025893845,
46.31825659954793,
46.70512730390191,
41.460673248998845,
38.23675615798615,
41.46203284705754,
44.66794214202879,
42.0339708125436,
42.929164680214015,
45.386603206954604,
41.59550617047496,
41.11641637157295,
41.4802939914725,
43.551865749778095,
44.7895826061191,
44.37208970678735,
47.02921833862065,
47.1374932430428,
41.040215829785296,
41.16881764228326,
38.66133421398048,
44.35952058957389,
44.012953484502304,
41.16406420775508,
43.798025219885695,
42.09942153064155,
41.63371477359185,
38.964350905602934,
41.17705519013346,
42.09598728453332,
40.51331454999384,
41.57328316190243,
39.04078387446176,
42.81171019615015,
41.98355333984391,
44.557927043801314,
40.265261845321355,
43.038313693843385,
42.31382618951338,
42.87503582579843,
43.84035503296974,
44.184878442055535,
43.228915355926475,
41.36943000423789,
38.781032149478484,
42.8415726326006,
42.487160612339096,
43.578287921663474,
42.64144432653154,
41.76808398729837,
45.24393110215223,
39.20139929183948,
45.18765021952778,
45.049189888138294,
45.162966521888634,
45.47523988671895,
44.19608939417619,
45.85416909398045,
42.522368584833174,
42.562477300751326,
43.01106727996458,
37.03930764996606,
42.74079643880366,
44.79301455948187,
41.77616591505037,
40.90773125284818,
45.494425007554916,
42.93487017729511,
43.23767937545329,
43.5731352628318,
42.648915237618034,
42.47561377300832,
39.501416212618665,
43.49797906660188,
39.80641956818356,
46.4723064537033,
42.628676027056116,
41.326737077591375,
43.14665795381574,
40.7029346304262,
41.127255898928844,
40.26091852563761,
38.33071716589859,
42.09941149988016,
42.890971266535814,
41.684630918429434,
40.80230795059384,
43.03969048749305,
44.32439945481418,
44.76689904230197,
44.728161674763015,
43.19177402582194,
40.358425837592726,
39.898791416897964,
35.74434179922947,
38.797555106240395,
37.977949617319396,
38.469372953838686,
41.520380926308775,
42.82545893090358,
45.402294756893525,
45.94532005573658,
41.68550158851846,
41.75734706030189,
43.67759331924681,
42.254509138711455,
40.672665804842694,
47.76904431008849,
38.46528384230799,
41.06268072300402,
45.00956236217388,
39.901508893456274,
42.94158075666791,
40.09382209002642,
46.5359378782775,
45.85851384663011,
45.57272427121945,
41.46761195654507,
45.95471171433349,
44.03546308625753,
43.521258744239006,
44.09021957974322,
44.46762926995007,
44.537034687376035,
44.15908132990161,
44.47404236559924,
41.74204986258236,
42.28256460514501,
40.21159068021852,
44.57006426508845,
47.64426908976587,
47.39440110387419,
46.8650758189435,
42.680524172923825,
38.85087576788079,
41.067163900160914,
43.319048052104485,
44.70101556849815,
47.1896130792477,
46.534207428640386,
43.8086045206317,
48.99492658754329,
49.90608828098074,
44.130301929088574,
46.57547140167799,
46.35466396451158,
43.74439532420118,
47.01813004838218,
49.06872834439179,
48.14680565013051,
47.7687559973467,
47.90791876862697,
46.79888196472282,
46.601094838363196,
45.37581154066023,
47.360138888883014,
43.648648267574174,
43.31408139224838,
45.39403915367281,
46.297866927565096,
45.64716197834035,
45.004525486988015,
46.09406478348708,
49.29607469161457,
48.40277205235675,
48.87614804297537,
47.666077111409855,
42.274886773780615,
47.20006513262058,
47.230749518319,
48.795434804932995,
44.2760337027094,
47.0233365867322,
44.53037225565793,
41.82968289302091,
38.17187432735584,
44.52914764298828,
43.19386500968289,
43.770221095673364,
42.762791605795954,
44.670654746503,
47.292786625017875,
44.88442173554332,
45.50236650464739,
42.884643862248275,
47.74424998748082,
39.33520391697609,
42.90011358906378,
43.78461208574921,
47.578955649802424,
44.69335722547017,
43.35446323146965,
40.89494977008635,
41.133427109931816,
41.66877285785137,
44.27930516388986,
44.665073917456375,
46.780346550632025,
49.78493215936919,
49.23457666669234,
50.06475314515704,
47.718987944799,
48.63638991819644,
50.32108495369121,
51.44798826319776,
50.14926660880195,
49.51767627849023,
51.38898073303315,
47.94449665653433,
48.852159047211074,
46.12822382493248,
48.63610332501375,
50.378167437447665,
51.334238855799775,
51.23720298963019,
52.34327068816164,
51.72709104646978,
50.3069186526706,
46.67985952935643,
50.88976120216502,
52.90602792763323,
51.14430380945963,
44.04997043316554,
52.20125946723856,
46.37887134428109,
44.797979499778876,
48.75502917847757,
48.45227471961728,
44.17727139920726,
44.669532447599565,
49.60969848352174,
49.37607545900477,
43.85713334425743,
48.3217438484066,
47.41243354692936,
45.733007240505245,
51.562758515512506,
50.65624421712563,
50.5643681746173,
47.96765625162791,
49.6324147189617,
50.487065395448994,
48.82585667127607,
48.458472870379424,
53.24273909315195,
45.15563260234347,
47.844716374047266,
50.44248869181262,
44.60717464312925,
48.127380364207454,
49.99018159901982,
50.13807915732227,
50.475535751709174,
49.681781541053624,
48.868369903997035,
47.91886662820592,
48.43251211351819,
49.27587388453914,
47.3634960414251,
47.06632355798416,
43.7158085140069,
45.99912792578755,
41.28146022680968,
48.860353892677054,
51.43728515419684,
49.336746276543536,
48.39555993491423,
50.78755118267506,
48.547400728817394,
49.67543808754786,
49.44326436475576,
47.44955882781566,
49.1575395594044,
52.914197266305955,
48.965050681213256,
53.218794232737785,
49.378826753558634,
47.97604770001722,
46.641520812934594,
51.976918909315884,
46.416736035578744,
45.254417260113854,
46.904746047292136,
49.60997705209532,
40.19234250888236,
43.87125092443698,
47.85740958610882,
50.04517739781306,
49.725730605619894,
43.43149231414848,
44.39386047131758,
42.38378186585011,
37.87067549629122,
47.08915443069719,
44.60676452828481,
49.73176511167472,
45.65329593222957,
47.017840589267664,
49.754977439913915,
52.346229762772964,
49.95416973264829,
51.91399279056428,
51.78284488423125,
51.498444139383935,
49.047983583455604,
48.183939528812296,
46.24214318208781,
51.65479648316907,
49.33689616477809,
50.492020591577784,
49.04600723686774,
51.04673029447932,
48.306736969581145,
47.83088939935496,
47.243501195389825,
47.27319511504885,
42.65154587644199,
41.137064550606574,
47.40121628975868,
45.718552340149664,
44.00309811813579,
48.33393666877117,
46.44476112313494,
43.4636538011105,
48.06860010243672,
50.90071278745534,
50.12426708547547,
49.680762702289144,
42.40419761781257,
47.54902099186994,
40.534733091502545,
41.84154842397084,
47.19770933665883,
47.34396070371989,
48.73321829090175,
44.8037076377214,
49.07139652692268,
46.6783480369109,
43.93591781018027,
48.57416767230154,
42.219448188520104,
40.0060612390284,
44.40953597203826,
43.381877588953515,
39.30055336822236,
44.136909621508785,
48.676233822013785,
43.83126716314648,
46.99668714645295,
49.624417049605405,
48.48572702227417,
48.805984299988,
49.389049532385364,
48.78028548929574,
43.4413061245035,
44.3700219369742,
45.37227211485395,
38.394850701728885,
41.262630481520254,
38.22088319456259,
44.62683665502122,
44.7712939487586,
44.500471988907364,
49.3813430417027,
50.28956543545843,
51.48077566967079,
48.650023155897244,
46.8687622670525,
40.63236507149213,
41.11578271404602,
42.34963027582745,
44.198502222181304,
39.62267149547143,
37.30377211324557,
40.91980828956694,
43.042751589277415,
43.8636722543138,
45.00384654773821,
47.80379373349025,
46.81507791866328,
47.901424567107114,
46.04149213005351,
46.339392560178496,
49.406290978256294,
48.13491776491233,
48.704209328949375,
45.24182148973441,
52.97622462883662,
48.81750076044141,
43.922690675019346,
46.96734000454499,
50.700315370387735,
45.46096754622074,
46.25979875510773,
41.67261693221086,
42.064415033154916,
42.254803756503264,
38.14936357922788,
37.50732864696602,
42.45443596977308,
40.71690461511666,
41.61585801215768,
42.69548806277187,
41.92140044949922,
44.07630261479156,
48.4557407775688,
45.896271352077434,
46.71119448157956,
51.402171757453054,
48.406665420743664,
48.961193423567366,
46.67019732679505,
41.892919965375725,
51.00794850499703,
39.108321564116096,
47.453316064440784,
42.39043455340001,
41.6981604093981,
50.96000547783673,
54.54302955862983,
52.824734338395906,
46.95324105292231,
54.33585421279149,
47.21986470924024,
44.93653641307093,
43.835037009871655,
45.73839118003535,
46.62405009251751,
41.08106624886027,
47.3394325314333,
46.08364339558474,
47.93706816123888,
47.752057932150166,
47.17904839475401,
38.01007356057449,
41.88356212477437,
42.285104393930055,
41.17952533677511,
38.19408042693059,
46.4560663644127,
39.62261303046216,
44.48233551252689,
44.67166957296292,
45.308852482641754,
52.187216401286506,
51.09367139187292,
43.564617140255734,
44.50718400124608,
38.67511017508626,
46.457373229325796,
42.19438991359117,
45.316172932307325,
49.76226378499075,
49.730843427999176,
44.86986079571014,
47.85117045252156,
47.74723084317404,
47.81464128545525,
52.82190938939408,
49.402370383517024,
44.28354674299374,
39.70471853818607,
46.40066675582504,
47.2489006109518,
46.40560017087195,
43.422973331792875,
45.522990609853665,
49.19914285877031,
41.929076274711335,
41.638414328601684,
41.338508319384204,
43.94227387378608,
39.43490395337201,
38.26050642162926,
47.091219907764874,
41.28423100969997,
37.345104582053835,
49.60097458704051,
38.34030170170746,
44.167056358396465,
44.10668235193677,
37.70698063516544,
45.97517246142563,
45.48286871064911,
42.09948601410766,
38.306768006586694,
47.24512417258343,
45.946552406422164,
45.7003459350326,
41.24630498746122,
43.50351891282337,
44.11904741480414,
43.495986384202595,
44.254357227336264,
49.255356678590005,
43.261743745224635,
45.207500809733965,
38.137770025208326
],
"xaxis": "x",
"y": [
-2.205565694721905,
-1.4168797568088962,
-2.4975419210600265,
-1.1271731019835656,
-4.4506157181660555,
-7.441350742785502,
-0.05748572935689822,
-3.9310051138707465,
-0.5580341313037422,
0.06250334161062909,
-2.7058998610217486,
-1.0154096872551506,
-1.2225825389682399,
-2.4396279355959223,
-0.915448319985849,
-0.6622512862696865,
-0.3996760129534991,
-1.912920497572273,
-3.005725772695804,
-2.665342625498809,
-3.533310465403531,
-1.2190625051678694,
-4.102430070783363,
-2.3369964160516687,
-1.998626073663985,
-2.747202669891813,
-4.928891776203869,
-1.949451054254176,
-2.4898505466682437,
-1.2568364457035344,
-0.780303124678646,
-5.715046616524923,
-4.508065351625319,
-6.552975523953542,
-1.490714346578521,
-7.686895365883153,
-3.636924788590669,
-4.815519423101769,
-4.849231648838533,
-5.926770458701419,
-2.947211924672054,
0.22439885387812097,
-0.6092545409531454,
-2.402359693182113,
-0.8790792129567961,
-0.22076409572896694,
-1.520139777195645,
3.6013050295142435,
3.28087900221896,
4.728685764036342,
-0.513954528124529,
-1.2103644445262844,
2.0314479308021305,
0.73241898952908,
1.7468768081211934,
-0.10949608466126648,
-4.071199490854433,
-3.433689024389885,
-6.093019159067346,
-4.719258095849412,
-4.349641523164024,
-3.358314497689136,
-6.2622941503557925,
-1.29198693284998,
-3.0265363138888617,
-0.46799686218820824,
-0.3635359256284687,
-2.146446313220835,
-4.371047300041511,
-8.436173782001674,
-2.5512908054220276,
-1.4356861010689457,
0.02250923701560481,
-4.466448620273866,
-6.798892313674173,
-8.167209965028448,
-8.776661708122795,
-11.921612011079297,
-3.3039611963808753,
-2.8810343475142517,
-0.5357058661821128,
-3.5001509262479544,
-5.628936248684681,
-7.008222123761314,
6.740776156873132,
-0.18322924706775012,
0.827565015680392,
0.622284696499861,
-1.0275470128355906,
0.7062092657886723,
2.210943786270768,
-3.165341539677769,
-2.0133708305003495,
-2.074641574342124,
-4.203437604671741,
6.523854396293942,
-5.980318515140695,
-7.076405615853886,
-5.983336227220015,
-6.215630529788953,
-1.664252917831682,
-6.6012780746209785,
-2.0300444992915345,
-7.971923598745086,
1.1457559577240914,
1.4459908227940304,
3.0278099658112154,
2.10652919322456,
-7.0597121852316675,
-2.8769371744637624,
-0.16966373436218873,
0.7428683806743024,
0.9375533014157327,
-2.1329040216289457,
-2.05834500211472,
-2.448300982102957,
-1.2690752467738093,
2.37736747364238,
-0.9399145388566268,
-2.874797916345365,
-1.654177488127516,
0.3363477514058033,
-0.4217140239654569,
-4.223909772516933,
-1.5587367408283441,
-1.7336785098345757,
1.3928566858252935,
-0.8631736770761691,
2.1662259799935484,
0.9830770786357022,
3.491603013596759,
-1.322424624749729,
0.2943191811237469,
-1.0193228488142694,
-4.255398958289341,
-1.0061815634194602,
0.5019172943834391,
0.7381359421141624,
-3.0345778233369813,
-6.408342796258168,
-2.5964342172260473,
1.4936468053601146,
0.014368679558543818,
-4.242251928769626,
-3.517042250706872,
-0.9023325142046801,
-3.2627911012147024,
-3.395534659361367,
-0.7660299125679373,
1.0353053852264011,
-2.4736358301079946,
-2.9459926907316003,
-6.353163870853621,
-7.634343486523292,
-8.339982404739757,
-7.252114919854762,
-5.407774381731862,
-5.051221511870409,
-6.06044200379084,
-6.505639235202132,
-3.6894882837259786,
-4.242327201052845,
-4.194029734000239,
-8.437546598473773,
-6.162658856945598,
-0.39097718610827314,
-4.1535953553985365,
-5.0317065111053125,
-4.8661119424783905,
0.5665598438652637,
-2.0839384499028313,
-5.346031225592135,
-8.463934157136684,
-4.978053891241856,
-6.128071799404424,
-6.77388137637525,
-7.17120606683784,
0.288910290602864,
-0.12790608008293702,
-1.1721374835408085,
4.509052142885544,
0.2637902363110243,
0.3992720467508448,
-0.44528115677488955,
1.7591930923392098,
-0.7773810557148764,
-0.3055129393420444,
-2.244343762861398,
-0.1530474948787699,
-1.906416204214068,
-1.2834963254521412,
-2.349739811795878,
-0.39510843628140435,
5.734662316882414,
0.3627770479970067,
4.301078813779391,
2.446766190470818,
3.0742732470771372,
4.488232471000416,
2.7071708346868917,
5.78656893274492,
3.044018863028775,
8.110844695127867,
1.8507472877827524,
1.7671795913584702,
-0.5590083943228734,
7.373551908474518,
-0.48330202589384186,
-0.04000659954792951,
-4.556377303901911,
-1.2741732489988422,
-0.9052561579861518,
-1.9567828470575463,
-2.8319401420287917,
-1.1267208125436028,
-1.3876646802140158,
-3.148353206954603,
-3.6137561704749643,
-0.992916371572953,
0.1867060085275014,
-1.4393657497780978,
-2.8015796061190983,
-2.3650897067873515,
-0.34346833862065296,
-0.9359932430427946,
-2.7779658297852947,
-2.4995676422832602,
-0.805584213980481,
-0.3375205895738915,
0.6497965154976981,
-1.7763142077550853,
-0.09577521988569515,
-0.3421715306415507,
-1.9942147735918496,
-0.7618509056029339,
0.04494480986654281,
-1.058737284533322,
-2.178564549993837,
-1.1505311619024283,
-1.3517838744617592,
-2.3819581961501513,
-0.6343033398439104,
-7.2434270438013115,
3.194738154678646,
-2.235813693843383,
-3.0870761895133754,
-0.7102858257984295,
-0.9648550329697372,
-3.741625442055536,
-5.277665355926473,
-0.809430004237889,
-1.556030149478481,
-3.151822632600606,
-0.2349106123390996,
-0.517287921663474,
-1.403944326531544,
1.8371630127016303,
-0.2014311021522346,
1.49635070816052,
2.135099780472217,
-1.1934398881382933,
2.2572834781113684,
-1.3107428867189554,
-2.193087394176189,
-1.6919190939804523,
1.1256344151668287,
-0.1754803007513246,
-0.44906727996458073,
2.3681923500339366,
-1.264796438803664,
0.12498544051813099,
-0.522915915050369,
1.8667687471518235,
0.04407499244508273,
1.924126822704892,
-0.48492937545329085,
0.9058647371682014,
4.870337762381965,
4.655886226991683,
5.683833787381339,
0.21052093339812217,
3.0710804318164406,
1.702940546296702,
5.300573972943887,
4.5527629224086255,
3.9538440461842583,
4.139812369573804,
4.401492101071156,
3.6853314743623926,
2.5145328341014093,
0.24258850011983668,
1.7447787334641873,
2.0453690815705627,
1.167442049406155,
1.1595595125069522,
0.75385054518582,
-0.06114904230197027,
-1.1289116747630175,
0.2197289741780608,
2.791074162407277,
2.6519585831020365,
8.011411200770532,
6.417694893759602,
6.086050382680604,
-0.747622953838686,
-2.8281309263087735,
-1.047958930903576,
-6.461794756893525,
-2.30832005573658,
1.122498411481537,
2.050155939698108,
1.1656566807531874,
2.0119908612885453,
2.6960821951573024,
-4.369044310088491,
6.144968157692013,
0.42906927699598185,
-2.498062362173883,
4.336494106543725,
0.2409192433320868,
2.3544279099735803,
-0.33443787827749816,
-0.1092638466301068,
1.1530257287805483,
5.4328880434549305,
1.225038285666507,
3.7140369137424685,
3.727241255760994,
0.1452804202567819,
4.719370730049924,
4.488215312623964,
3.5256686700983906,
6.542207634400761,
2.751450137417635,
-1.802314605145014,
-0.8990906802185208,
8.078685734911552,
8.536730910234127,
4.481848896125811,
1.673674181056498,
8.343975827076179,
5.317874232119216,
6.076336099839089,
2.3772019478955144,
5.793987431501847,
1.9363869207522981,
7.152042571359615,
1.1063954793683024,
-0.02192658754329102,
6.17566171901926,
0.732448070911424,
8.294028598322015,
6.431836035488416,
8.208107675798821,
4.902619951617815,
6.191021655608203,
6.192944349869492,
4.247744002653299,
2.084081231373027,
9.761118035277185,
1.8181551616368026,
3.5454384593397705,
4.639113111116984,
3.384351732425827,
4.2064186077516155,
3.793960846327195,
7.254631072434904,
1.007338021659649,
3.338224513011987,
3.9544352165129197,
8.99717230838543,
5.481227947643248,
5.92060195702463,
2.0081728885901455,
3.0326132262193823,
1.2991848673794237,
5.945000481680999,
6.692565195067004,
4.2987162972906034,
3.996913413267798,
-1.6283722556579292,
0.22656710697908977,
0.244875672644163,
0.379604357011722,
0.7946379903171135,
-2.3554680956733662,
-1.6870416057959545,
0.4270952534970007,
-2.538288625017877,
3.6775782644566775,
0.04988349535260994,
4.810356137751725,
-0.5379999874808234,
0.7392930830239095,
0.4438844109362208,
-0.539362085749211,
2.9927943501975776,
3.75664277452983,
-0.5659632314696523,
1.435800229913653,
0.808072890068182,
0.9167271421486305,
-1.2285551638898582,
-0.5030709174563768,
7.782401449367974,
13.764814840630812,
-1.7310786666923406,
9.342746854842957,
-6.899987944798994,
7.596610081803554,
9.63191804630879,
9.821261736802242,
13.869983391198048,
6.111823721509772,
10.03676926696685,
8.805007343465675,
1.956590952788929,
4.319026175067513,
11.193894674986254,
6.119332562552337,
-7.744986855799773,
-0.13345298963019303,
4.698229311838361,
-8.70159104646978,
-9.923168652670604,
0.3948904706435741,
-0.5735112021650224,
-1.7472779276332346,
-7.126303809459628,
3.9250315668344626,
-0.97400646723856,
0.9878786557189159,
0.8487685002211265,
-1.6510291784775717,
-0.7417747196172755,
0.42422660079274266,
0.965217552400432,
4.146551516478262,
4.928924540995233,
5.526869655742573,
6.480756151593404,
1.2348134530706432,
-12.348507240505242,
0.18549148448749264,
4.062255782874367,
1.7381318253827018,
9.654343748372092,
2.637585281038305,
1.6351846045510072,
2.2593903287239314,
-7.506722870379427,
-6.5717390931519475,
0.5231173976565273,
-12.616963374047266,
-4.336241691812617,
-17.935423643129248,
-13.315380364207456,
7.454568400980179,
7.705420842677732,
6.010468248290827,
-0.00028154105362432347,
3.367130096002967,
7.802383371794079,
3.0497378864818074,
5.5838761154608605,
2.9047539585749007,
-0.5620735579841636,
1.7381934859931008,
6.616872074212452,
1.829039773190324,
4.6743941073229465,
0.9037148458031581,
6.175503723456465,
-0.1040599349142326,
1.656448817324943,
4.277849271182603,
1.7038119124521387,
10.052485635244238,
-1.369308827815658,
1.7229604405955996,
-3.743947266305952,
3.6936993187867415,
-2.778044232737784,
-2.943826753558632,
-2.8802947000172168,
8.865483187065408,
-2.5596689093158815,
3.919513964421256,
5.099082739886143,
5.732253952707865,
2.231022947904684,
1.6096574911176376,
-2.9327509244369807,
-3.043909586108825,
5.786322602186935,
-1.633230605619893,
4.021007685851522,
-1.6973604713175803,
2.7847211341498905,
4.332824503708778,
-1.8781524306971917,
2.4599854717151857,
-0.16451511167471722,
0.3329520677704352,
4.532909410732337,
5.054522560086085,
-1.0007297627729628,
3.4770782673517076,
4.492757209435723,
-1.0455948842312495,
0.5860588606160633,
-1.5459835834556017,
2.3503124711877064,
-0.8291411820878096,
1.5177035168309274,
0.8378538352219138,
2.297232408422218,
3.756742763132266,
4.4490197055206835,
-4.449986969581147,
8.764610600645042,
10.360998804610176,
-3.298945115048852,
-0.4260438764419945,
0.27518544939342604,
0.685533710241323,
-0.6105523401496669,
0.8861498818642133,
-2.198686668771174,
-2.8852611231349385,
-0.9931538011105019,
-1.5298501024367184,
-2.026212787455343,
3.764232914524527,
-0.671759702289144,
-1.3856976178125677,
-1.7200209918699372,
1.100516908497454,
0.2154515760291602,
6.055540663341169,
2.669789296280115,
1.6557817090982496,
-0.7572076377214003,
-3.430893526922681,
-1.085848036910896,
2.228579189819726,
2.3433323276984552,
3.143051811479893,
2.1539387609715988,
1.0517140279617365,
-0.046377588953511406,
4.44194663177764,
-2.7651596215087864,
-2.010233822013788,
-1.0047671631464752,
3.6398098535470496,
1.520834950394594,
-0.6502270222741657,
-4.310484299987998,
6.664450467614635,
-0.954033489295746,
2.3834438754965035,
4.4269780630258,
-1.6792721148539513,
2.0198992982711133,
1.9828695184797454,
2.8906168054374106,
0.9021633449787814,
-0.0847939487585947,
6.237528011092635,
4.009156958297304,
1.8466845645415688,
0.4529743303292122,
-3.6740251558972474,
-1.5835122670525053,
4.278384928507869,
2.980717285953979,
1.7736197241725478,
-2.5132522221813005,
5.858578504528573,
5.45547788675443,
2.3671917104330618,
-1.4097515892774126,
-0.43992425431379445,
-1.3538465477382147,
0.20420626650975038,
-5.801577918663277,
-1.9706745671071104,
1.615757869946485,
0.1391074398215011,
-1.5040389782562968,
-0.9424207649123275,
1.3575426710506235,
-0.1295714897344098,
-8.497724628836622,
0.33874923955858804,
-0.06644067501934359,
3.5641599954550145,
-7.524812370387735,
-0.28696754622074394,
1.661951244892272,
-1.639116932210861,
2.1030849668450813,
-1.768555756503261,
4.170636420772119,
2.8429213530339794,
-1.0264359697730825,
2.168095384883337,
2.207391987842321,
-1.7899860627718738,
-0.33214844949921485,
-1.87280261479156,
-7.609990777568797,
-4.385521352077433,
-2.7826944815795613,
-6.619671757453055,
0.7245845792563372,
-5.229443423567368,
-4.708447326795046,
-1.8181699653757235,
-7.372698504997032,
0.14192843588390502,
-6.236816064440781,
-0.6816845534000109,
3.7715895906018986,
-5.096003477836732,
-13.265279558629835,
-7.0977343383959095,
-3.669741052922312,
-13.097354212791487,
-5.724864709240244,
0.6167135869290661,
2.3674629901283453,
-0.24489118003535282,
2.098949907482492,
1.5816837511397353,
-3.015432531433305,
0.28710660441526414,
0.5021818387611248,
5.862692067849835,
-2.1992983947540097,
6.819926439425508,
1.69418787522563,
-0.1343543939300531,
-1.0302753367751052,
2.0924195730694066,
-1.7805663644126994,
0.2671369695378374,
-2.8845855125268898,
-10.583672572962918,
-1.127102482641753,
-8.219216401286502,
-3.2066713918729164,
-2.750117140255732,
-3.7339370012460833,
2.6071398249137374,
-3.284121229325798,
-1.7196399135911733,
-4.196172932307327,
-4.367510784990749,
-2.053843427999176,
-3.381860795710139,
1.8663295474784434,
-1.4979808431740338,
2.231356714544745,
-6.748659389394078,
1.5608796164829783,
5.023203257006259,
6.447781461813932,
4.121583244174957,
9.304844389048199,
-3.1136001708719476,
-1.6217233317928716,
-6.206740609853668,
-9.659645858770311,
0.4354237252886648,
3.6575856713983157,
0.00024168061579388223,
-1.1060238737860786,
3.220346046627995,
6.4859935783707385,
-2.509219907764873,
1.0057689903000266,
7.019145417946163,
-4.65022258704051,
5.929948298292537,
-0.1305563583964684,
0.6045676480632309,
5.671269364834558,
0.9500775385743694,
1.7328812893508925,
-0.723736014107665,
1.731481993413304,
0.9713758274165727,
-0.8103024064221671,
-0.7470959350326041,
1.8379450125387748,
-1.1882689128233679,
-2.9540504148041435,
-0.31523638420259203,
-0.19610722733626318,
-10.152606678590004,
0.861009254775368,
-3.8019988097339663,
5.063979974791671
],
"yaxis": "y"
}
],
"layout": {
"height": 250,
"legend": {
"tracegroupgap": 0
},
"shapes": [
{
"line": {
"dash": "dash",
"width": 2
},
"opacity": 1,
"type": "line",
"x0": 0,
"x1": 1,
"xref": "x domain",
"y0": 0,
"y1": 0,
"yref": "y"
}
],
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "rgb(36,36,36)"
},
"error_y": {
"color": "rgb(36,36,36)"
},
"marker": {
"line": {
"color": "white",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "white",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "rgb(36,36,36)",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "rgb(36,36,36)"
},
"baxis": {
"endlinecolor": "rgb(36,36,36)",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "rgb(36,36,36)"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"colorscale": [
[
0,
"#440154"
],
[
0.1111111111111111,
"#482878"
],
[
0.2222222222222222,
"#3e4989"
],
[
0.3333333333333333,
"#31688e"
],
[
0.4444444444444444,
"#26828e"
],
[
0.5555555555555556,
"#1f9e89"
],
[
0.6666666666666666,
"#35b779"
],
[
0.7777777777777778,
"#6ece58"
],
[
0.8888888888888888,
"#b5de2b"
],
[
1,
"#fde725"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"colorscale": [
[
0,
"#440154"
],
[
0.1111111111111111,
"#482878"
],
[
0.2222222222222222,
"#3e4989"
],
[
0.3333333333333333,
"#31688e"
],
[
0.4444444444444444,
"#26828e"
],
[
0.5555555555555556,
"#1f9e89"
],
[
0.6666666666666666,
"#35b779"
],
[
0.7777777777777778,
"#6ece58"
],
[
0.8888888888888888,
"#b5de2b"
],
[
1,
"#fde725"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"colorscale": [
[
0,
"#440154"
],
[
0.1111111111111111,
"#482878"
],
[
0.2222222222222222,
"#3e4989"
],
[
0.3333333333333333,
"#31688e"
],
[
0.4444444444444444,
"#26828e"
],
[
0.5555555555555556,
"#1f9e89"
],
[
0.6666666666666666,
"#35b779"
],
[
0.7777777777777778,
"#6ece58"
],
[
0.8888888888888888,
"#b5de2b"
],
[
1,
"#fde725"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"line": {
"color": "white",
"width": 0.6
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"colorscale": [
[
0,
"#440154"
],
[
0.1111111111111111,
"#482878"
],
[
0.2222222222222222,
"#3e4989"
],
[
0.3333333333333333,
"#31688e"
],
[
0.4444444444444444,
"#26828e"
],
[
0.5555555555555556,
"#1f9e89"
],
[
0.6666666666666666,
"#35b779"
],
[
0.7777777777777778,
"#6ece58"
],
[
0.8888888888888888,
"#b5de2b"
],
[
1,
"#fde725"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"colorscale": [
[
0,
"#440154"
],
[
0.1111111111111111,
"#482878"
],
[
0.2222222222222222,
"#3e4989"
],
[
0.3333333333333333,
"#31688e"
],
[
0.4444444444444444,
"#26828e"
],
[
0.5555555555555556,
"#1f9e89"
],
[
0.6666666666666666,
"#35b779"
],
[
0.7777777777777778,
"#6ece58"
],
[
0.8888888888888888,
"#b5de2b"
],
[
1,
"#fde725"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"colorscale": [
[
0,
"#440154"
],
[
0.1111111111111111,
"#482878"
],
[
0.2222222222222222,
"#3e4989"
],
[
0.3333333333333333,
"#31688e"
],
[
0.4444444444444444,
"#26828e"
],
[
0.5555555555555556,
"#1f9e89"
],
[
0.6666666666666666,
"#35b779"
],
[
0.7777777777777778,
"#6ece58"
],
[
0.8888888888888888,
"#b5de2b"
],
[
1,
"#fde725"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "rgb(237,237,237)"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "rgb(217,217,217)"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowhead": 0,
"arrowwidth": 1
},
"autosize": true,
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"colorscale": {
"diverging": [
[
0,
"rgb(103,0,31)"
],
[
0.1,
"rgb(178,24,43)"
],
[
0.2,
"rgb(214,96,77)"
],
[
0.3,
"rgb(244,165,130)"
],
[
0.4,
"rgb(253,219,199)"
],
[
0.5,
"rgb(247,247,247)"
],
[
0.6,
"rgb(209,229,240)"
],
[
0.7,
"rgb(146,197,222)"
],
[
0.8,
"rgb(67,147,195)"
],
[
0.9,
"rgb(33,102,172)"
],
[
1,
"rgb(5,48,97)"
]
],
"sequential": [
[
0,
"#440154"
],
[
0.1111111111111111,
"#482878"
],
[
0.2222222222222222,
"#3e4989"
],
[
0.3333333333333333,
"#31688e"
],
[
0.4444444444444444,
"#26828e"
],
[
0.5555555555555556,
"#1f9e89"
],
[
0.6666666666666666,
"#35b779"
],
[
0.7777777777777778,
"#6ece58"
],
[
0.8888888888888888,
"#b5de2b"
],
[
1,
"#fde725"
]
],
"sequentialminus": [
[
0,
"#440154"
],
[
0.1111111111111111,
"#482878"
],
[
0.2222222222222222,
"#3e4989"
],
[
0.3333333333333333,
"#31688e"
],
[
0.4444444444444444,
"#26828e"
],
[
0.5555555555555556,
"#1f9e89"
],
[
0.6666666666666666,
"#35b779"
],
[
0.7777777777777778,
"#6ece58"
],
[
0.8888888888888888,
"#b5de2b"
],
[
1,
"#fde725"
]
]
},
"colorway": [
"#1F77B4",
"#FF7F0E",
"#2CA02C",
"#D62728",
"#9467BD",
"#8C564B",
"#E377C2",
"#7F7F7F",
"#BCBD22",
"#17BECF"
],
"font": {
"color": "rgb(36,36,36)"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "white",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"height": 250,
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"margin": {
"b": 10,
"l": 10,
"r": 10,
"t": 10
},
"paper_bgcolor": "white",
"plot_bgcolor": "white",
"polar": {
"angularaxis": {
"gridcolor": "rgb(232,232,232)",
"linecolor": "rgb(36,36,36)",
"showgrid": false,
"showline": true,
"ticks": "outside"
},
"bgcolor": "white",
"radialaxis": {
"gridcolor": "rgb(232,232,232)",
"linecolor": "rgb(36,36,36)",
"showgrid": false,
"showline": true,
"ticks": "outside"
}
},
"scene": {
"xaxis": {
"backgroundcolor": "white",
"gridcolor": "rgb(232,232,232)",
"gridwidth": 2,
"linecolor": "rgb(36,36,36)",
"showbackground": true,
"showgrid": false,
"showline": true,
"ticks": "outside",
"zeroline": false,
"zerolinecolor": "rgb(36,36,36)"
},
"yaxis": {
"backgroundcolor": "white",
"gridcolor": "rgb(232,232,232)",
"gridwidth": 2,
"linecolor": "rgb(36,36,36)",
"showbackground": true,
"showgrid": false,
"showline": true,
"ticks": "outside",
"zeroline": false,
"zerolinecolor": "rgb(36,36,36)"
},
"zaxis": {
"backgroundcolor": "white",
"gridcolor": "rgb(232,232,232)",
"gridwidth": 2,
"linecolor": "rgb(36,36,36)",
"showbackground": true,
"showgrid": false,
"showline": true,
"ticks": "outside",
"zeroline": false,
"zerolinecolor": "rgb(36,36,36)"
}
},
"shapedefaults": {
"fillcolor": "black",
"line": {
"width": 0
},
"opacity": 0.3
},
"ternary": {
"aaxis": {
"gridcolor": "rgb(232,232,232)",
"linecolor": "rgb(36,36,36)",
"showgrid": false,
"showline": true,
"ticks": "outside"
},
"baxis": {
"gridcolor": "rgb(232,232,232)",
"linecolor": "rgb(36,36,36)",
"showgrid": false,
"showline": true,
"ticks": "outside"
},
"bgcolor": "white",
"caxis": {
"gridcolor": "rgb(232,232,232)",
"linecolor": "rgb(36,36,36)",
"showgrid": false,
"showline": true,
"ticks": "outside"
}
},
"title": {
"x": 0.5,
"xanchor": "center"
},
"width": 350,
"xaxis": {
"automargin": true,
"gridcolor": "rgb(232,232,232)",
"linecolor": "rgb(36,36,36)",
"showgrid": true,
"showline": true,
"ticks": "outside",
"title": {
"standoff": 15
},
"zeroline": false,
"zerolinecolor": "rgb(36,36,36)"
},
"yaxis": {
"automargin": true,
"gridcolor": "rgb(232,232,232)",
"linecolor": "rgb(36,36,36)",
"showgrid": true,
"showline": true,
"ticks": "outside",
"title": {
"standoff": 15
},
"zeroline": false,
"zerolinecolor": "rgb(36,36,36)"
}
}
},
"width": 350,
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
34.37482345063056,
55.91254790722874
],
"title": {
"text": "Prediction for AUM"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"domain": [
0,
1
],
"range": [
-20,
15
],
"title": {
"text": "Error"
},
"type": "linear"
}
}
},
"image/png": "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",
"image/svg+xml": [
"35 40 45 50 55 −20 −10 0 10 Prediction for AUM Error "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = px.scatter(x=prediction, y=error,\n",
" labels=dict(x='Prediction for AUM', y='Error'),\n",
" width=350, height=250)\n",
"\n",
"fig.add_hline(0, line_width=2, line_dash='dash', opacity=1)\n",
"fig.update_yaxes(range=[-20, 15])\n",
"\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It appears that the errors grow with AUM. We might try a transformation of the response variable, or fitting a model that is quadratic in the commute time fraction. We consider transformations and polynomials in the next section. First we see whether including additional variables offers a more accurate prediction of AUM. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Relating Upward Mobility Using Multiple Variables"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In his original analysis, Chetty created several high-level\n",
"features related to factors such as segregation, income, and K–12 education.\n",
"We consider seven of Chetty's predictors as we aim to build a more informative model for explaining AUM. These are described in {numref}`Table %s `."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
":::{table} Potential explanation for modeling AUM\n",
":name: tbl:linear-predictors\n",
"\n",
"| Column name | Description |\n",
"| ----------- | ----------- |\n",
"| `travel_lt15` | Fraction of people with a ≤15-minute commute to work.\n",
"| `gini` | Gini coefficient, a measure of wealth inequality. Values are between 0 and 1, where small values mean wealth is evenly distributed and large values mean more inequality.\n",
"| `rel_tot` | Fraction of people who self-reported as religious.\n",
"| `single_mom` | Fraction of children with a single mother.\n",
"| `taxrate` | Local tax rate.\n",
"| `worked_14` | Fraction of 14- to 16-year-olds who work.\n",
"| `foreign` | Fraction of people born outside the US.\n",
":::"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's first examine the correlations between AUM and the explanatory features and between the explanatory features themselves:"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"tags": [
"hide-input"
]
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" aum \n",
" travel_lt15 \n",
" gini \n",
" rel_tot \n",
" single_mom \n",
" taxrate \n",
" worked_14 \n",
" foreign \n",
" \n",
" \n",
" \n",
" \n",
" aum \n",
" 1.00 \n",
" 0.68 \n",
" -0.60 \n",
" 0.52 \n",
" -0.77 \n",
" 0.35 \n",
" 0.65 \n",
" -0.03 \n",
" \n",
" \n",
" travel_lt15 \n",
" 0.68 \n",
" 1.00 \n",
" -0.56 \n",
" 0.40 \n",
" -0.42 \n",
" 0.34 \n",
" 0.60 \n",
" -0.19 \n",
" \n",
" \n",
" gini \n",
" -0.60 \n",
" -0.56 \n",
" 1.00 \n",
" -0.29 \n",
" 0.57 \n",
" -0.15 \n",
" -0.58 \n",
" 0.31 \n",
" \n",
" \n",
" rel_tot \n",
" 0.52 \n",
" 0.40 \n",
" -0.29 \n",
" 1.00 \n",
" -0.31 \n",
" 0.08 \n",
" 0.28 \n",
" -0.11 \n",
" \n",
" \n",
" single_mom \n",
" -0.77 \n",
" -0.42 \n",
" 0.57 \n",
" -0.31 \n",
" 1.00 \n",
" -0.26 \n",
" -0.60 \n",
" -0.04 \n",
" \n",
" \n",
" taxrate \n",
" 0.35 \n",
" 0.34 \n",
" -0.15 \n",
" 0.08 \n",
" -0.26 \n",
" 1.00 \n",
" 0.35 \n",
" 0.26 \n",
" \n",
" \n",
" worked_14 \n",
" 0.65 \n",
" 0.60 \n",
" -0.58 \n",
" 0.28 \n",
" -0.60 \n",
" 0.35 \n",
" 1.00 \n",
" -0.15 \n",
" \n",
" \n",
" foreign \n",
" -0.03 \n",
" -0.19 \n",
" 0.31 \n",
" -0.11 \n",
" -0.04 \n",
" 0.26 \n",
" -0.15 \n",
" 1.00 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" aum travel_lt15 gini rel_tot single_mom taxrate worked_14 \\\n",
"aum 1.00 0.68 -0.60 0.52 -0.77 0.35 0.65 \n",
"travel_lt15 0.68 1.00 -0.56 0.40 -0.42 0.34 0.60 \n",
"gini -0.60 -0.56 1.00 -0.29 0.57 -0.15 -0.58 \n",
"rel_tot 0.52 0.40 -0.29 1.00 -0.31 0.08 0.28 \n",
"single_mom -0.77 -0.42 0.57 -0.31 1.00 -0.26 -0.60 \n",
"taxrate 0.35 0.34 -0.15 0.08 -0.26 1.00 0.35 \n",
"worked_14 0.65 0.60 -0.58 0.28 -0.60 0.35 1.00 \n",
"foreign -0.03 -0.19 0.31 -0.11 -0.04 0.26 -0.15 \n",
"\n",
" foreign \n",
"aum -0.03 \n",
"travel_lt15 -0.19 \n",
"gini 0.31 \n",
"rel_tot -0.11 \n",
"single_mom -0.04 \n",
"taxrate 0.26 \n",
"worked_14 -0.15 \n",
"foreign 1.00 "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"predictors = [\n",
" 'travel_lt15', 'gini', 'rel_tot', 'single_mom', \n",
" 'taxrate', 'worked_14', 'foreign'\n",
"]\n",
"\n",
"display_df(cz_df[(['aum'] + predictors)].corr(), rows=8)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We see that the fraction of single mothers in the commuting zone has the strongest correlation with AUM, which implies that it is also the single best feature to explain AUM.\n",
"In addition, we see that several explanatory variables are highly correlated with each other; the Gini coefficient is highly correlated with the fraction of teenagers who work, the fraction of single mothers, and the fraction with less than a 15-minute commute. With such highly correlated features, we need to take care in interpreting the coefficients because several different models might equally explain AUM with the covariates standing in for one another. \n",
"\n",
":::{note}\n",
"\n",
"The vector geometry perspective that we introduced earlier in this chapter can help us understand the problem. Recall that a feature corresponds to a column vector in $n$-dimensions, like $\\mathbf{x}$. With two highly correlated features, $\\mathbf{x}_1$ and $\\mathbf{x}_2$, these vectors are nearly in alignment. So the projection of the response vector $\\mathbf{y}$ onto one of these vectors is nearly the same as the projection onto the other. The situation gets even murkier when several features are correlated with one another.\n",
"\n",
":::"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To begin, we can consider all possible two-feature models to see which one has the smallest prediction error. Chetty derived 40 potential variables to use as predictors, which would have us checking $(40 \\times 39) /2 = 780$ models. Fitting models, with all pairs, triples, and so on, of variables quickly grows out of control. And it can lead to finding spurious correlations (see {numref}`Chapter %s `).\n",
"\n",
"Here, we keep things a bit simpler and examine just one 2-variable model that includes the travel time and single-mother features. After that, we look at the model that has all seven numeric explanatory features in our data frame:"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"X2 = cz_df[['travel_lt15', 'single_mom']]\n",
"y = cz_df['aum']\n",
"\n",
"model_ct_sm = LinearRegression().fit(X2, y)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"tags": [
"hide-input"
]
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Intercept: 49.0\n",
"Fraction with under 15 minute commute coefficient: 18.10\n",
"Fraction of single moms coefficient: 18.10\n"
]
}
],
"source": [
"print(f\"Intercept: {model_ct_sm.intercept_:.1f}\")\n",
"print(f\"Fraction with under 15 minute commute coefficient: {model_ct_sm.coef_[0]:.2f}\")\n",
"print(f\"Fraction of single moms coefficient: {model_ct_sm.coef_[0]:.2f}\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Notice that the coefficient for travel time is quite different than the coefficient for this variable in the simple linear model. That's because the two features in our model are highly correlated."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next we compare the errors from the two fits: "
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"prediction_ct_sm = model_ct_sm.predict(X2)\n",
"error_ct_sm = y - prediction_ct_sm"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"tags": [
"hide-input"
]
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" SD(errors in model 1): 4.14\n",
" SD(errors in model 2): 2.85\n"
]
}
],
"source": [
"print(f\" SD(errors in model 1): {np.std(error):.2f}\\n\",\n",
" f\"SD(errors in model 2): {np.std(error_ct_sm):.2f}\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The SD of the residuals have been reduced by another 30%. Adding a second variable to the model seems worth the extra complexity. \n",
"\n",
"Let's again visually examine the residuals. We use the same scale on the y-axis to make it easier to compare this residual plot with the plot for the one-variable model:"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Two-variable prediction for AUM=%{x} Error=%{y} ",
"legendgroup": "",
"marker": {
"color": "#1F77B4",
"symbol": "circle"
},
"mode": "markers",
"name": "",
"orientation": "v",
"showlegend": false,
"type": "scatter",
"x": [
42.776922710182276,
42.19365313793936,
42.02287073062844,
40.740055164164,
38.42553556317934,
37.83533374238359,
42.78471379163566,
32.481361634138324,
41.824228639431894,
39.08507835112503,
43.22822439283514,
41.85811845481276,
41.796621442233025,
42.979038325203724,
44.52855074962491,
39.05639002828167,
42.540929128801,
43.483074925942205,
42.983046474934504,
40.20946180133268,
39.41458859744576,
43.70080213802882,
40.56683553473863,
39.36142142467928,
45.10976798044636,
43.311254567780864,
42.68388544145682,
45.935361353886144,
42.61895974244975,
41.711107528066684,
44.96552144602015,
37.20898449571439,
38.56306374470528,
36.905598956539016,
40.07365938516656,
33.560135310436756,
39.33143444216563,
40.249111669050976,
39.27867483691517,
33.12157388646533,
39.28723579253881,
44.24571270288095,
36.929714658900366,
37.777076546851035,
39.90209606044816,
36.745439815054745,
37.24697103150487,
43.14671382802069,
42.335756982021756,
42.60919785292208,
38.58252174558979,
41.59189816796177,
45.449954064484025,
42.68669077612743,
43.50562461570591,
41.15276457002758,
37.41351907790681,
38.699022446257686,
34.95870827505878,
36.091485804126414,
36.73687256145447,
36.2431120377491,
32.74800460581785,
36.20262204602608,
39.93390985599163,
38.83014111542272,
38.30725566976622,
38.32140430265171,
30.405920776794453,
30.913681148832595,
34.482036790512915,
35.49208067702811,
39.45295086592835,
34.19530283758176,
32.14487288052238,
32.54345986136314,
33.6404527673858,
30.292573955827642,
39.45296697317207,
43.268821670696056,
41.91095907857182,
35.44119875899832,
34.32873545245421,
36.58732091516508,
43.49942201622099,
33.56059754592281,
42.81336243319957,
36.70767628484812,
37.272126956387666,
41.346283668721796,
38.63694077626122,
35.580803621549926,
35.89492082393407,
33.7683815611884,
39.084428007464865,
39.45496948130959,
39.67413843803949,
43.74189671082489,
35.92376598880813,
39.64214922931352,
38.55018165434764,
41.047351805417435,
44.07292906388362,
33.02920032294104,
43.966716711941174,
45.26306738065335,
44.925685692094426,
45.21361715948745,
38.05221817231789,
44.3644527097139,
45.106021487472766,
42.84256874216646,
45.10043009532552,
41.53012888196415,
42.42829242008216,
42.25039841148019,
41.65340439963533,
42.46863386187381,
44.15082123171813,
43.522626870089574,
42.83379308000861,
43.99958347594094,
43.80628986195275,
40.990591589562314,
42.52426983571456,
42.96532212295968,
42.934028912650284,
37.77950644599757,
42.85406769441343,
43.784060876621304,
42.46161965442518,
41.89989837865336,
42.96894522348274,
42.43269070075672,
45.88828793740061,
41.162182794252686,
42.32577981734068,
42.44504335948778,
38.543701822958404,
36.44014799300017,
39.71948695685951,
43.187139204427844,
37.526057158873115,
35.336162375430895,
31.329631414027464,
36.418321119339154,
38.38210368960185,
34.79715369086981,
39.70816364554902,
44.23648499093715,
42.95374959478017,
35.390092451553286,
35.02221275141442,
38.73336865380222,
33.22722281754708,
39.19147224340696,
41.06813724719061,
38.16329072135821,
41.74673385604754,
38.375840934824716,
37.1959020954818,
35.06438589508024,
40.15143150293657,
34.25306567304744,
34.87486236408509,
37.542555447052465,
37.676068479654006,
40.17121905133635,
42.627514981766375,
43.952451797561956,
40.180909710874374,
34.9652692829294,
33.38123135247454,
36.20987666565508,
36.796202634747246,
32.350322598728795,
32.436058700089504,
37.69878932915269,
38.90216062437369,
40.114048745866526,
36.13059686207905,
39.254344072719675,
40.2100412975942,
39.952182451559565,
38.07230375013204,
38.58890823722051,
37.06183374377239,
39.41321823945538,
38.23070071351679,
37.17565165938268,
35.93924344882047,
39.9369598332451,
39.23993207283286,
40.441964447969056,
43.145731701214636,
42.29247929372636,
45.281247454854565,
43.01606058738157,
44.29848418078354,
41.09952298211611,
43.78702066510493,
40.68279344796059,
43.431908701898195,
35.87081128383224,
43.82243653928464,
40.275831294936935,
38.204306133441094,
45.745088992430716,
47.0318829866717,
44.50277329595925,
42.33728731918317,
37.52655750181678,
40.86064826664324,
44.38161124003551,
41.26601403642784,
43.28182819350598,
44.787072043690465,
40.73392513685121,
42.89953109662194,
44.33221853236732,
45.38266241165963,
45.773640112068335,
45.01551028220231,
46.726289526772696,
46.051065934981764,
40.25260790858863,
42.90470646374602,
39.32667758028036,
45.466582953215166,
45.915950737775674,
40.20095387857384,
45.76120326802083,
43.91462576390834,
41.36409915641346,
37.64657081068449,
42.3752670460148,
42.353489122426524,
41.137259474553495,
42.672578824230015,
39.328159274137604,
43.14588587724255,
41.03412817642649,
43.38471572527686,
44.984339812998016,
43.35227446092862,
41.251037976823,
44.864692731608635,
47.295918863363624,
44.33251641967619,
41.91901631542725,
42.61273100451631,
39.33925923539917,
45.17088127693375,
43.48536575957709,
44.57554109384415,
44.677186402555094,
43.62756158075983,
44.82274338130188,
38.437211221136806,
46.55990798312735,
45.78384926385126,
47.38846226716922,
46.32619355456717,
43.26307875182641,
44.752622841659004,
41.66404417736861,
43.1994287654551,
42.278915236609386,
39.36689917461143,
43.49506225304965,
45.86541662550987,
41.08410385372551,
42.07367152456035,
45.580080270186954,
44.762073063336146,
42.63298166636771,
44.09868750646293,
46.417345777013466,
44.80021081154636,
40.88780661996843,
43.141784097312325,
42.528207918310486,
48.443366189078965,
45.267428038266345,
43.57585989205312,
43.94782013983319,
43.07272484837925,
44.41275343325174,
42.835371967098574,
38.21139856351839,
40.767886698348676,
43.64714784553753,
42.2397751415495,
39.01507212150053,
42.28730711315802,
44.65142960731899,
45.081091974839254,
44.233504474085066,
41.81192555922924,
40.44383080321663,
42.74433916249767,
34.0480331893997,
44.462468690244144,
41.12685270674415,
38.86146795180984,
39.21187039569253,
43.07318885979987,
44.339424316597096,
47.027247627208745,
42.09764181854994,
43.99659825489462,
43.581431172089104,
43.634031040564274,
39.10358883104018,
45.9829445295222,
40.38546360559991,
36.89607442553956,
42.492913613047165,
43.442015367885574,
43.67776546434009,
40.70184377349173,
47.254000068174996,
46.46007917481568,
46.672476971072584,
45.04357996297632,
48.70280542661261,
47.566778238764726,
45.826615461239776,
45.34737693270634,
48.06517156483763,
46.82678286042365,
46.22190614818198,
47.75428973580992,
44.462362339321764,
42.39730426882667,
38.977087570434634,
48.92207101504156,
50.5550200455973,
48.9236168185862,
49.20714940148301,
47.1153054200247,
41.84550519809646,
43.38013468095076,
44.885541459651655,
48.18053075088929,
47.523491941353576,
50.58915332416246,
42.97478449640833,
47.802602101962435,
53.19415100907673,
43.638823858411456,
48.185960386404524,
49.86759220836464,
47.66480058894335,
49.51244059572496,
51.63180817238366,
51.23519257637008,
49.435700131502955,
47.95154518326009,
49.85092260443738,
47.43552461146485,
45.33716251312515,
49.86160295884344,
46.64793382426656,
45.30476519361385,
47.244126296926325,
49.05022018610529,
45.48792899579988,
45.694228605683406,
47.318374218294935,
55.16521504995386,
50.45187990300855,
50.7854904769746,
48.28652518051715,
44.31874271804405,
47.261725536555595,
49.235006015140904,
50.592526662116086,
45.337112643034345,
48.04321322868876,
46.10458599599039,
43.53707125024482,
37.608493911553374,
44.79133255466848,
44.78255848766601,
42.51031235356713,
42.57974615963418,
45.403792339025756,
47.10319617465349,
46.51635047952773,
45.62583611739572,
45.70443630026142,
48.69365003623829,
40.0158486834698,
43.3487045120342,
43.944137297304444,
50.00952637395042,
47.189783594481305,
43.265090198254,
43.550276511287805,
43.1237610561606,
44.315191651641896,
44.32545366178961,
46.25349163655348,
48.11549942853682,
55.212215056452656,
46.92788027790983,
52.38197859268404,
38.17690427244001,
49.99418868815356,
52.19366193640587,
54.08537125677301,
51.11259546136223,
48.967685206622285,
49.7888326294226,
51.64945813715888,
48.57307741319969,
47.45488164383725,
53.59192867473539,
51.130061623947874,
44.99437698410395,
51.1175293827936,
53.16932323223553,
47.69955259018153,
48.730008612571865,
45.97699890171644,
52.28954785589248,
48.70991080157266,
49.2830378292571,
44.48698094182347,
54.39039467830259,
49.07795420916126,
45.78047925800578,
46.34936247818093,
48.29232767339785,
44.98281408188195,
44.933935232226155,
50.96438011141819,
51.59424709210592,
45.41465392811292,
50.55778569630706,
48.29545376121867,
36.16310413010378,
49.76402819391611,
51.44823184887942,
53.426039492580415,
50.767450105975456,
50.98741746260564,
50.580557958693944,
51.16117786546651,
44.404046633059586,
51.14470926887601,
43.965738212165476,
38.91474058713712,
48.99788685070873,
32.440674433919106,
39.31596309614072,
54.66697061821309,
53.952504262758936,
52.3837200053498,
47.66457644804025,
50.33152315320195,
51.13542673060259,
49.63764390924727,
53.07329353494857,
48.21325625154387,
47.714333004559,
44.924261347281075,
48.71174808997865,
42.055518283613424,
50.859771037139495,
52.807965054485116,
53.46731199399794,
48.8485369510866,
52.237453424275856,
49.380771147806556,
51.758355578381085,
52.44975144296359,
46.52524238429182,
49.90000890749094,
49.68890811388123,
50.38879954548488,
52.87611689536859,
46.65335834489181,
46.557631054832335,
49.025714707152346,
49.846195608677434,
44.44924784034355,
49.355318984178766,
49.30158038918154,
51.0628914961044,
42.70984296405986,
41.16199909225195,
44.01562310994193,
53.1769626851557,
49.504208625052414,
47.61636935772156,
48.398694923905644,
45.515204586046536,
40.988928114859945,
45.42502299338939,
45.287495927777826,
50.0661807809548,
45.67709665623176,
49.00473754932477,
53.47883498437437,
51.46148775902486,
53.51140286865864,
54.55898282172116,
53.65823996505025,
51.6526403086517,
51.10932432454506,
49.44595550795499,
46.699903604550244,
51.050646055305265,
50.086375835376884,
54.42758204695731,
51.18208290218968,
53.7949694304941,
47.24079023551769,
49.941575588096605,
52.45728730512652,
48.17748920683442,
42.39507950178805,
42.76947152257443,
50.73250624529069,
46.08304393823736,
46.159302140850926,
48.82892634532688,
45.833473415071694,
45.3587945205513,
49.435573625493646,
54.01592592332903,
52.742631716602574,
51.28569647878461,
41.281149487066514,
47.405633446417795,
41.16925164508755,
41.34708545650369,
48.72081953896287,
47.40438732338501,
52.048104306096114,
43.2985338232059,
47.56557041513162,
46.39773482791385,
44.424702333540345,
48.1423316920365,
43.1233170336648,
39.56288158453542,
44.42777348288566,
42.54260049802032,
38.911719486690885,
42.43776290079655,
51.09944985115381,
42.86533728337085,
48.260303673364966,
50.02286156932953,
49.06726373293584,
48.35643109125229,
52.55523993865527,
50.9836960259027,
43.84239336080192,
46.29824622182053,
44.50406602785861,
41.198483274559806,
44.288928435946765,
38.585788455587156,
42.34612123024509,
45.71109797044889,
44.36730740644356,
48.69873507556531,
50.05252028969254,
47.871624466735916,
44.069487439574985,
44.6606735679387,
42.73929450578856,
42.80408727723602,
41.39342766685912,
43.12946846885019,
43.566027577422794,
39.7029064057832,
39.37833813475475,
42.15673777501957,
42.408557240934485,
43.76777677256377,
48.06710679739062,
46.35825060371283,
47.8908073025925,
46.62723062914711,
47.63310567124975,
47.88747087928448,
44.09493964542271,
47.853225458055256,
44.73795950016611,
47.308564677335305,
48.60957897685989,
43.40655931392641,
48.050319740507874,
48.32620437545461,
45.02394094531486,
48.91195418066302,
40.27119474090228,
42.38223885184133,
42.827219502042254,
40.921908572972015,
40.02947349406812,
42.539511902684374,
41.97161494726124,
41.61490819479802,
40.126510454149035,
42.842268652484975,
42.789135436673924,
44.419507122308204,
41.991497314441915,
43.818041773613984,
47.967713640386194,
48.01230195228122,
46.483169806155445,
41.717343017790604,
40.64950321042916,
45.17333883322431,
38.711210364601435,
43.41563564438872,
42.64674062717215,
42.805626526250165,
50.840934529739286,
51.28615488174255,
53.8606946495192,
46.5600644435992,
51.55243295292567,
45.674072966397794,
46.31007093366544,
46.98062076454652,
48.188694931979796,
50.192770060693604,
44.55618929234331,
49.96412039825902,
48.953842258363416,
50.44412469193803,
52.83608336877461,
46.08599375522803,
42.580501325323304,
42.464204041298444,
43.22696196222881,
39.94419930795708,
40.41623215293413,
46.41933642935722,
39.030982889235254,
43.90014693520568,
40.34961386193983,
46.46319161630227,
53.32866313928048,
50.36472214830955,
42.21415669874863,
43.380040556835276,
41.333307554942834,
46.6775300895022,
42.804146754975264,
42.44469713698919,
47.872956457607415,
49.36160972423729,
45.86440311052,
47.058341126700896,
50.73667518858296,
51.192849525640916,
46.881176980900804,
52.79356029141703,
51.18067518282368,
44.96111241381834,
52.08997339660503,
49.62860087100676,
44.28186487616873,
41.47129682405221,
40.71130864605658,
44.03874697988021,
42.68420676441751,
40.96081073012289,
41.211556147774445,
42.74711452533502,
39.81072864020655,
43.50814691265095,
44.66497700064634,
42.09662983548937,
40.495546178540046,
47.4739226609619,
40.63042692555615,
43.34782546410222,
45.457568674785435,
40.04218090664982,
49.1058194236071,
49.261572526940824,
42.786860932070475,
39.34536766314115,
48.95781246755725,
47.35604770653222,
47.15159033364833,
41.79448588952931,
43.840950345954596,
42.62811933762399,
43.15465006645264,
45.05070256405583,
46.395449969127505,
44.140078404327184,
42.789895630979544,
40.92284033078111
],
"xaxis": "x",
"y": [
-4.389422710182274,
-4.416901137939355,
-2.97362073062844,
-2.8988071641639976,
-1.1022855631793362,
-1.336083742383586,
-1.7904637916356592,
1.2658883658616773,
-2.387975639431893,
-0.8828283511250277,
-4.045477392835139,
-2.1358704548127605,
-2.6071184422330234,
-3.6350403252037253,
-3.2825507496249102,
-1.107640028281672,
-1.9739311288009986,
-4.303574925942208,
-3.171796474934503,
-3.240211801332677,
-2.937338597445759,
-5.356304138028818,
-5.132585534738631,
-3.5264214246792775,
-5.093017980446355,
-5.760504567780863,
-7.127385441456823,
-4.697361353886144,
-2.0267097424497535,
-2.6981075280666857,
-4.132771446020151,
-2.433986495714393,
-2.700563744705285,
-1.8670989565390173,
-3.141409385166554,
-0.09013531043675727,
-1.7116844421656268,
-3.0413616690509784,
-1.772424836915171,
2.4651761135346746,
-1.9919857925388058,
-3.4327127028809485,
0.9975353410996348,
0.21192345314896244,
-0.659596060448159,
1.126310184945254,
0.8055289684951319,
0.884286171979312,
1.298243017978244,
-0.7416978529220799,
1.0487302544102164,
-1.9581481679617738,
-1.3237070644840259,
-0.820690776127428,
-1.8498746157059145,
-1.9200145700275755,
1.05723092209319,
-2.2930224462576874,
-0.03520827505878543,
-0.17748580412641246,
-0.35487256145447077,
-0.29836203774910075,
2.2587453941821494,
1.4843779539739188,
-2.8521568559916304,
0.5038588845772836,
1.7594943302337782,
1.069845697348292,
6.941327223205548,
3.8850688511674036,
1.8904632094870877,
4.126419322971884,
1.0262971340716476,
4.578197162418242,
3.186377119477619,
3.0270401386368633,
0.606297232614196,
3.31792604417236,
-1.7122139731720694,
-4.220569670696058,
-2.615459078571824,
1.8623012410016813,
1.6930145475457863,
0.20342908483492295,
5.0893279837790075,
4.619152454077188,
1.1606375668004247,
2.586825715151882,
2.794871043612332,
1.2139663312782076,
4.55206222373878,
2.3086963784500725,
4.631579176065927,
4.367368438811603,
1.2678219925351328,
7.105530518690408,
-1.111888438039493,
-5.174146710824893,
0.713487011191873,
-2.0631472293135147,
-0.5601816543476374,
-1.216601805417433,
-2.759929063883618,
2.189299677058962,
-0.27421971194117134,
-0.5473193806533487,
-0.18418569209442381,
-1.0983671594874451,
-0.2157161723178902,
-3.301952709713902,
-2.4355234874727643,
-0.20381874216646167,
-2.056180095325523,
-1.395378881964156,
-3.3327954200821566,
-3.397148411480188,
-3.207654399635331,
0.2103661381261901,
-2.2338212317181316,
-4.467626870089575,
-2.4815430800086133,
-1.6275854759409398,
-3.7165378619527516,
-4.043591589562311,
-3.547269835714566,
-3.3128221229596733,
-0.5712789126502855,
0.09599355400243326,
1.2611823055865727,
-0.4393108766213061,
0.7596303455748199,
-2.123898378653358,
0.09955477651725886,
-1.3429387007567257,
-3.9537899374006145,
-2.6934327942526863,
-1.1552818173406791,
-0.9777933594877766,
-0.5962018229584061,
-0.690147993000167,
-0.7014869568595117,
-1.2423892044278446,
0.05744284112688547,
1.5190846245691034,
6.093618585972539,
1.6011788806608465,
0.7971463103981549,
1.0440943091301875,
2.5260863544509817,
-3.5584849909371528,
-5.531999594780167,
0.8189075484467168,
-0.3247127514144239,
-1.9578686538022225,
2.0352771824529228,
-3.0694742434069653,
-3.4651372471906114,
-1.9822907213582113,
-4.713233856047545,
-2.2035909348247174,
-1.112650095481797,
0.39011610491975546,
-1.8784315029365644,
-1.1140656730474348,
0.050637635914910106,
-1.5743054470524669,
-1.5235684796540028,
-4.674717051336351,
-4.559764981766378,
-4.405201797561958,
-2.579909710874375,
0.27797871707060295,
1.1582686475254533,
1.2488713343449191,
-0.5004526347472478,
2.1801774012712087,
2.7791912999104937,
1.4337106708473115,
0.5205913756263101,
-0.8852987458665282,
5.321403137920946,
-0.2580940727196719,
-0.7020412975941994,
-0.5359304515595653,
1.0416962498679538,
0.5840917627794937,
0.470166256227607,
-0.671218239455385,
0.7197992864832088,
1.3866003406173206,
1.9345095511795307,
-0.7519618332450975,
0.49606792716713954,
4.110285552030945,
-1.6032287012146327,
3.122020706273638,
-0.4359974548545651,
0.955439412618432,
2.268765819216462,
2.3404770178838845,
2.705979334895069,
1.6562065520394071,
3.6205912981018074,
2.96094171616776,
-0.10293853928463648,
-0.3855812949369337,
5.026693866558908,
-0.6060889924307133,
-0.7536329866716969,
-2.3540232959592515,
-2.1507873191831663,
-0.19505750181678394,
-1.3553982666432418,
-2.5456092400355104,
-0.3587640364278428,
-1.740328193505981,
-2.548822043690464,
-2.752175136851214,
-2.776031096621942,
-2.6652185323673194,
-3.2701624116596335,
-3.7856371120683363,
-3.008510282202309,
-0.04053952677269734,
0.15043406501823853,
-1.9903579085886278,
-4.235456463746019,
-1.4709275802803603,
-1.4445829532151677,
-1.2532007377756713,
-0.8132038785738445,
-2.0589532680208293,
-2.157375763908341,
-1.7245991564134613,
0.5559291893155134,
-1.153267046014797,
-1.3162391224265235,
-2.8025094745534957,
-2.249826824230013,
-1.6391592741376044,
-2.716133877242548,
0.3151218235735058,
-6.07021572527686,
-1.524339812998015,
-2.5497744609286173,
-2.024287976822997,
-2.699942731608637,
-4.420418863363622,
-3.8892634196761904,
-3.967766315427248,
-2.0527310045163105,
-2.1142572353991653,
-5.481131276933752,
-1.233115759577096,
-1.5145410938441515,
-3.439686402555097,
-0.022314580759832836,
0.21975661869811347,
2.260538778863193,
0.7628420168726464,
-1.9280992638512586,
0.03178773283078584,
-2.161696554567172,
-1.2600767518264107,
-0.5903728416590042,
1.9839588226313936,
-0.8124317654551021,
0.2830847633906117,
0.04060082538856591,
-2.019062253049654,
-0.9474166255098737,
0.16914614627449254,
0.7008284754396499,
-0.041580270186955204,
0.09692393666385613,
0.11976833363228678,
0.380312493537069,
1.101907222986533,
2.3312891884536455,
4.297443380031574,
0.566715902687676,
0.3492920816895122,
-0.26811918907896626,
2.661821961733658,
2.303640107946883,
3.1526818601668083,
1.7700221516207506,
1.1159945667482631,
1.1108780329014252,
2.6338514364816135,
1.5741133016513231,
0.9886021544624697,
1.490224858450496,
2.954677878499467,
1.9119428868419774,
0.4268203926810088,
-0.3753419748392517,
-0.6342544740850684,
1.5995774407707657,
2.7056691967833757,
-0.19358916249766622,
9.707719810600295,
0.7527813097558536,
2.9371472932558476,
-1.1397179518098426,
-0.5196203956925274,
-1.295688859799867,
-5.398924316597096,
-3.390247627208744,
0.7103581814500615,
-0.18909525489462453,
1.2618188279108935,
0.6324689594357267,
4.265159168959819,
-2.5829445295222015,
4.224788394400093,
4.595675574460444,
0.018586386952833323,
0.795987632114425,
-0.49526546434009333,
1.7464062265082703,
-1.052500068174993,
-0.7108291748156788,
0.053273028927414146,
1.8569200370236842,
-1.5230554266126148,
0.18272176123527117,
1.4218845387602244,
-1.1118769327063376,
1.1218284351623709,
2.1984671395763513,
1.4628438518180218,
3.26196026419008,
0.031137660678233203,
-1.917054268826675,
0.3354124295653662,
3.72667898495844,
5.625979954402695,
2.952633181413802,
-0.6683994014830077,
3.9091945799753063,
2.3232448019035417,
3.7633653190492424,
0.8107085403483438,
2.3144722491107075,
1.6025080586464213,
3.097096675837541,
1.9402155035916664,
1.1703978980375638,
2.887598990923273,
1.2239261415885423,
6.683539613595478,
2.9189077916353554,
4.2877024110566495,
2.4083094042750375,
3.6279418276163398,
3.1045574236299203,
2.5807998684970457,
2.04045481673991,
6.709077395562623,
0.9837253885351487,
3.58408748687485,
2.137649041156557,
0.38506617573344215,
2.215734806386152,
1.9438737030736775,
4.5022778138947075,
1.1665710042001223,
2.648521394316596,
2.7301257817050626,
3.128031950046143,
3.432120096991447,
4.011259523025402,
1.3877248194828482,
0.988757281955948,
1.2375244634444087,
3.940743984859097,
4.895473337883914,
3.2376373569656565,
2.9770367713112407,
-3.2025859959903897,
-1.4808212502448228,
0.8082560884466261,
0.11741944533152093,
-0.7940554876660073,
-1.0955593535671326,
-1.503996159634184,
-0.3060423390257583,
-2.3486981746534923,
2.045649520472267,
-0.07358611739572041,
1.9905636997385798,
-1.4874000362382915,
0.05864831653020275,
-0.0047065120342040245,
-0.6988872973044451,
0.5622236260495797,
1.2602164055186975,
-0.4765901982540015,
-1.2195265112878033,
-1.1822610561606055,
-1.7296916516418932,
-1.2747036617896086,
-2.0914886365534784,
6.447248571463177,
8.337531943547347,
0.5756177220901719,
7.025521407315956,
2.6420957275599903,
6.23881131184644,
7.759341063594135,
7.183878743226991,
12.906654538637767,
6.661814793377715,
11.6369173705774,
5.100045862841121,
2.2356725868003124,
2.99236835616275,
6.238069325264611,
5.367438376052128,
-1.4051249841039493,
-0.013779382793600803,
3.872176767764472,
-4.674052590181532,
-8.346258612571866,
1.0977510982835597,
-1.9732978558924827,
2.4488391984273363,
-5.265037829257096,
3.4880210581765354,
-3.163141678302594,
-1.7112042091612594,
-0.13373125800578123,
0.7546375218190704,
-0.5818276733978465,
-0.3813160818819483,
0.7008147677738421,
2.7918698885818145,
2.710752907894083,
3.9693490718870805,
4.244714303692945,
0.3517932387813332,
-2.77860413010378,
1.9842218060838874,
3.2702681511205753,
-1.123539492580413,
6.854549894024544,
1.2825825373943616,
1.5416920413060566,
-0.07593086546651051,
-3.4522966330595892,
-4.473709268876007,
1.7130117878345246,
-3.686987587137118,
-2.891639850708728,
-5.768923433919106,
-4.503963096140723,
2.7777793817869068,
3.890995737241063,
4.1022839946502,
2.0169235519597493,
1.9039768467980522,
4.585823269397409,
1.844606090752734,
1.7864564650514296,
2.054993748456134,
-1.210083004559003,
0.5297406527189281,
3.904251910021351,
1.0549817163865782,
2.674976962860505,
-0.46696505448511516,
2.044938006002063,
-0.5570369510866016,
0.20654657572414692,
3.4444788521934413,
-0.37910557838108616,
7.0459985570364125,
-0.4449923842918224,
0.9804910925090553,
-0.5186581138812301,
2.2699504545151186,
-2.4353668953685883,
-0.21835834489180428,
-1.461878054832333,
6.481289292847656,
-0.4289456086774308,
5.887002159656447,
0.9981810158212312,
3.3354196108184624,
0.7781085038956022,
-0.90784296405986,
-0.22349909225195574,
0.7978768900580704,
2.6545373148442977,
-1.4117086250524125,
-0.16386935772155908,
-5.702194923905644,
-0.3467015860465352,
1.214571885140053,
-0.21402099338938996,
1.779254072222173,
-0.4989307809548009,
0.30915134376824227,
2.546012450675228,
1.3306650156256268,
-0.11598775902486125,
-0.08015486865864574,
1.8477671782788434,
-2.9209899650502464,
0.43186269134830013,
-3.607324324545054,
1.0882964920450107,
-1.2869016045502448,
2.1218539446947347,
0.08837416462311865,
-1.6383290469573097,
1.6206670978103261,
1.700780569505902,
-3.384040235517695,
6.653924411903397,
5.147212694873481,
-4.203239206834425,
-0.16957750178804787,
-1.3572215225744273,
-2.6457562452906913,
-0.9750439382373628,
-1.2700541408509238,
-2.693676345326878,
-2.273973415071694,
-2.888294520551298,
-2.8968236254936457,
-5.141425923329031,
1.1458682833974265,
-2.2766934787846083,
-0.26264948706651126,
-1.5766334464177945,
0.46599835491245045,
0.7099145434963106,
4.53243046103713,
2.6093626766149924,
-1.6591043060961113,
0.747966176794101,
-1.9250674151316147,
-0.8052348279138499,
1.7397946664596518,
2.7751683079634972,
2.2391829663352,
2.5971184154645783,
1.0334765171143374,
0.792899501979683,
4.830780513309115,
-1.0660129007965509,
-4.43344985115381,
-0.03883728337084591,
2.3761933266350326,
1.122390430670471,
-1.231763732935839,
-3.86093109125229,
3.4982600613447303,
-3.1574440259027057,
1.9823566391980805,
2.49875377817947,
-0.8110660278586153,
-0.7837332745598076,
-1.0434284359467654,
2.525711544412843,
3.1828787697549146,
-1.0245979704488875,
6.370692593556441,
4.691764924434693,
2.083729710307459,
4.062125533264087,
0.9065105604250121,
0.6245764320612963,
2.1714554942114432,
1.2924127227639772,
2.7298223331408806,
-1.4442184688501882,
1.9152224225772088,
3.0563435942167985,
3.90866186524525,
-0.5237377750195691,
1.0151907590655185,
-0.11777677256377217,
-0.05910679739061919,
-5.344750603712832,
-1.9600573025924959,
1.0300193708528909,
-1.1546056712497546,
0.014781120715518625,
3.0975573545772903,
2.2085265419447424,
0.37429049983389007,
-2.830064677335308,
0.5466710231401066,
0.44969068607359475,
2.4811802594921275,
-5.150701375454609,
0.15005905468513703,
-0.9902041806630137,
-0.2376947409022847,
1.7852611481586678,
-2.340971502042251,
1.3980914270279854,
0.3207765059318817,
-1.1115119026843772,
0.9133850527387608,
2.2083418052019823,
0.778991545850964,
-1.2530166524849733,
-0.5856354366739254,
-3.5737571223082014,
-0.48074731444191343,
0.11045822638601521,
-3.185213640386195,
1.1189480477187814,
-2.7514198061554467,
0.24440698220939794,
-0.574753210429158,
-1.5380888332243075,
0.5390396353985665,
-2.1991356443887184,
-0.9379906271721481,
2.6641234737498323,
-4.976932529739287,
-10.00840488174255,
-8.133694649519207,
-3.276564443599206,
-10.313932952925668,
-4.179072966397797,
-0.7568209336654448,
-0.7781207645465216,
-2.695194931979799,
-1.4697700606936053,
-1.8934392923433094,
-5.640120398259022,
-2.583092258363415,
-2.004874691938028,
0.7786666312253914,
-1.1062437552280286,
2.249498674676694,
1.1135459587015575,
-1.076211962228811,
0.20505069204292425,
-0.12973215293413176,
-1.7438364293572235,
0.8587671107647452,
-2.3023969352056852,
-6.261616861939828,
-2.281441616302267,
-9.360663139280476,
-2.477722148309553,
-1.399656698748629,
-2.606793556835278,
-0.0510575549428367,
-3.5042780895022005,
-2.3293967549752637,
-1.3246971369891938,
-2.478203457607414,
-1.6846097242372906,
-4.376403110520002,
2.6591588732991056,
-4.487425188582954,
-1.146851525640919,
-0.8079269809008025,
-1.8303102914170282,
-1.873925182823676,
1.191387586181662,
-1.5677233966050323,
6.925144128993239,
-0.9898648761687312,
0.32995317594779294,
-1.395058646056583,
-4.4992499798802115,
-0.31970676441751067,
4.335189269877112,
0.12719385222555246,
0.08913547466497818,
2.844521359793454,
1.2383530873490471,
-0.08297700064633773,
0.1933701645106325,
3.8687038214599525,
-2.5231706609618954,
3.6398230744438465,
0.6886745358977748,
-0.7463186747854351,
3.336069093350183,
-2.1805694236071034,
-2.0458225269408246,
-1.4111109320704784,
0.692882336858851,
-0.7413124675572433,
-2.2197977065322263,
-2.198340333648332,
1.289764110470685,
-1.525700345954597,
-1.463122337623993,
0.026099933547364174,
-0.9924525640558315,
-7.292699969127504,
-0.017325404327181104,
-1.3843936309795453,
2.2789096692188835
],
"yaxis": "y"
}
],
"layout": {
"height": 250,
"legend": {
"tracegroupgap": 0
},
"shapes": [
{
"line": {
"dash": "dash",
"width": 2
},
"opacity": 1,
"type": "line",
"x0": 0,
"x1": 1,
"xref": "x domain",
"y0": 0,
"y1": 0,
"yref": "y"
}
],
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "rgb(36,36,36)"
},
"error_y": {
"color": "rgb(36,36,36)"
},
"marker": {
"line": {
"color": "white",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "white",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "rgb(36,36,36)",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "rgb(36,36,36)"
},
"baxis": {
"endlinecolor": "rgb(36,36,36)",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "rgb(36,36,36)"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"colorscale": [
[
0,
"#440154"
],
[
0.1111111111111111,
"#482878"
],
[
0.2222222222222222,
"#3e4989"
],
[
0.3333333333333333,
"#31688e"
],
[
0.4444444444444444,
"#26828e"
],
[
0.5555555555555556,
"#1f9e89"
],
[
0.6666666666666666,
"#35b779"
],
[
0.7777777777777778,
"#6ece58"
],
[
0.8888888888888888,
"#b5de2b"
],
[
1,
"#fde725"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"colorscale": [
[
0,
"#440154"
],
[
0.1111111111111111,
"#482878"
],
[
0.2222222222222222,
"#3e4989"
],
[
0.3333333333333333,
"#31688e"
],
[
0.4444444444444444,
"#26828e"
],
[
0.5555555555555556,
"#1f9e89"
],
[
0.6666666666666666,
"#35b779"
],
[
0.7777777777777778,
"#6ece58"
],
[
0.8888888888888888,
"#b5de2b"
],
[
1,
"#fde725"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"colorscale": [
[
0,
"#440154"
],
[
0.1111111111111111,
"#482878"
],
[
0.2222222222222222,
"#3e4989"
],
[
0.3333333333333333,
"#31688e"
],
[
0.4444444444444444,
"#26828e"
],
[
0.5555555555555556,
"#1f9e89"
],
[
0.6666666666666666,
"#35b779"
],
[
0.7777777777777778,
"#6ece58"
],
[
0.8888888888888888,
"#b5de2b"
],
[
1,
"#fde725"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"line": {
"color": "white",
"width": 0.6
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"colorscale": [
[
0,
"#440154"
],
[
0.1111111111111111,
"#482878"
],
[
0.2222222222222222,
"#3e4989"
],
[
0.3333333333333333,
"#31688e"
],
[
0.4444444444444444,
"#26828e"
],
[
0.5555555555555556,
"#1f9e89"
],
[
0.6666666666666666,
"#35b779"
],
[
0.7777777777777778,
"#6ece58"
],
[
0.8888888888888888,
"#b5de2b"
],
[
1,
"#fde725"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"colorscale": [
[
0,
"#440154"
],
[
0.1111111111111111,
"#482878"
],
[
0.2222222222222222,
"#3e4989"
],
[
0.3333333333333333,
"#31688e"
],
[
0.4444444444444444,
"#26828e"
],
[
0.5555555555555556,
"#1f9e89"
],
[
0.6666666666666666,
"#35b779"
],
[
0.7777777777777778,
"#6ece58"
],
[
0.8888888888888888,
"#b5de2b"
],
[
1,
"#fde725"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"colorscale": [
[
0,
"#440154"
],
[
0.1111111111111111,
"#482878"
],
[
0.2222222222222222,
"#3e4989"
],
[
0.3333333333333333,
"#31688e"
],
[
0.4444444444444444,
"#26828e"
],
[
0.5555555555555556,
"#1f9e89"
],
[
0.6666666666666666,
"#35b779"
],
[
0.7777777777777778,
"#6ece58"
],
[
0.8888888888888888,
"#b5de2b"
],
[
1,
"#fde725"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "rgb(237,237,237)"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "rgb(217,217,217)"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowhead": 0,
"arrowwidth": 1
},
"autosize": true,
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"colorscale": {
"diverging": [
[
0,
"rgb(103,0,31)"
],
[
0.1,
"rgb(178,24,43)"
],
[
0.2,
"rgb(214,96,77)"
],
[
0.3,
"rgb(244,165,130)"
],
[
0.4,
"rgb(253,219,199)"
],
[
0.5,
"rgb(247,247,247)"
],
[
0.6,
"rgb(209,229,240)"
],
[
0.7,
"rgb(146,197,222)"
],
[
0.8,
"rgb(67,147,195)"
],
[
0.9,
"rgb(33,102,172)"
],
[
1,
"rgb(5,48,97)"
]
],
"sequential": [
[
0,
"#440154"
],
[
0.1111111111111111,
"#482878"
],
[
0.2222222222222222,
"#3e4989"
],
[
0.3333333333333333,
"#31688e"
],
[
0.4444444444444444,
"#26828e"
],
[
0.5555555555555556,
"#1f9e89"
],
[
0.6666666666666666,
"#35b779"
],
[
0.7777777777777778,
"#6ece58"
],
[
0.8888888888888888,
"#b5de2b"
],
[
1,
"#fde725"
]
],
"sequentialminus": [
[
0,
"#440154"
],
[
0.1111111111111111,
"#482878"
],
[
0.2222222222222222,
"#3e4989"
],
[
0.3333333333333333,
"#31688e"
],
[
0.4444444444444444,
"#26828e"
],
[
0.5555555555555556,
"#1f9e89"
],
[
0.6666666666666666,
"#35b779"
],
[
0.7777777777777778,
"#6ece58"
],
[
0.8888888888888888,
"#b5de2b"
],
[
1,
"#fde725"
]
]
},
"colorway": [
"#1F77B4",
"#FF7F0E",
"#2CA02C",
"#D62728",
"#9467BD",
"#8C564B",
"#E377C2",
"#7F7F7F",
"#BCBD22",
"#17BECF"
],
"font": {
"color": "rgb(36,36,36)"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "white",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"height": 250,
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"margin": {
"b": 10,
"l": 10,
"r": 10,
"t": 10
},
"paper_bgcolor": "white",
"plot_bgcolor": "white",
"polar": {
"angularaxis": {
"gridcolor": "rgb(232,232,232)",
"linecolor": "rgb(36,36,36)",
"showgrid": false,
"showline": true,
"ticks": "outside"
},
"bgcolor": "white",
"radialaxis": {
"gridcolor": "rgb(232,232,232)",
"linecolor": "rgb(36,36,36)",
"showgrid": false,
"showline": true,
"ticks": "outside"
}
},
"scene": {
"xaxis": {
"backgroundcolor": "white",
"gridcolor": "rgb(232,232,232)",
"gridwidth": 2,
"linecolor": "rgb(36,36,36)",
"showbackground": true,
"showgrid": false,
"showline": true,
"ticks": "outside",
"zeroline": false,
"zerolinecolor": "rgb(36,36,36)"
},
"yaxis": {
"backgroundcolor": "white",
"gridcolor": "rgb(232,232,232)",
"gridwidth": 2,
"linecolor": "rgb(36,36,36)",
"showbackground": true,
"showgrid": false,
"showline": true,
"ticks": "outside",
"zeroline": false,
"zerolinecolor": "rgb(36,36,36)"
},
"zaxis": {
"backgroundcolor": "white",
"gridcolor": "rgb(232,232,232)",
"gridwidth": 2,
"linecolor": "rgb(36,36,36)",
"showbackground": true,
"showgrid": false,
"showline": true,
"ticks": "outside",
"zeroline": false,
"zerolinecolor": "rgb(36,36,36)"
}
},
"shapedefaults": {
"fillcolor": "black",
"line": {
"width": 0
},
"opacity": 0.3
},
"ternary": {
"aaxis": {
"gridcolor": "rgb(232,232,232)",
"linecolor": "rgb(36,36,36)",
"showgrid": false,
"showline": true,
"ticks": "outside"
},
"baxis": {
"gridcolor": "rgb(232,232,232)",
"linecolor": "rgb(36,36,36)",
"showgrid": false,
"showline": true,
"ticks": "outside"
},
"bgcolor": "white",
"caxis": {
"gridcolor": "rgb(232,232,232)",
"linecolor": "rgb(36,36,36)",
"showgrid": false,
"showline": true,
"ticks": "outside"
}
},
"title": {
"x": 0.5,
"xanchor": "center"
},
"width": 350,
"xaxis": {
"automargin": true,
"gridcolor": "rgb(232,232,232)",
"linecolor": "rgb(36,36,36)",
"showgrid": true,
"showline": true,
"ticks": "outside",
"title": {
"standoff": 15
},
"zeroline": false,
"zerolinecolor": "rgb(36,36,36)"
},
"yaxis": {
"automargin": true,
"gridcolor": "rgb(232,232,232)",
"linecolor": "rgb(36,36,36)",
"showgrid": true,
"showline": true,
"ticks": "outside",
"title": {
"standoff": 15
},
"zeroline": false,
"zerolinecolor": "rgb(36,36,36)"
}
}
},
"width": 350,
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
28.477133103540513,
57.02765590873978
],
"title": {
"text": "Two-variable prediction for AUM"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"domain": [
0,
1
],
"range": [
-20,
15
],
"title": {
"text": "Error"
},
"type": "linear"
}
}
},
"image/png": "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",
"image/svg+xml": [
"30 40 50 −20 −10 0 10 Two-variable prediction for AUM Error "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = px.scatter(x=prediction_ct_sm, y=error_ct_sm,\n",
" labels=dict(x='Two-variable prediction for AUM', y='Error'),\n",
" width=350, height=250)\n",
"\n",
"fig.add_hline(0, line_width=2, line_dash='dash', opacity=1)\n",
"fig.update_yaxes(range=[-20, 15])\n",
"\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The larger variability in the errors for higher AUM is even more evident. The implications are that the estimates, $\\hat{y}$, are unaffected, but their accuracy depends on AUM. This problem can be addressed with *weighted regression*."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
":::{note}\n",
"\n",
"Once again, we point out that data scientists from different backgrounds use\n",
"different terminology to refer to the same concept.\n",
"For example, the terminology that calls each row in the design matrix $\\textbf{X}$ an observation and each column a variable is more common among people with backgrounds in statistics.\n",
"Others say that each column of the design matrix represents a *feature* or that each row represents a *record*.\n",
"Also, we say that our overall process of fitting and interpreting models\n",
"is called *modeling*, while others call it *machine learning*.\n",
"\n",
":::"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now let's fit a multiple linear model that uses all seven variables to explain upward mobility. After fitting the model, we again plot the errors using the same y-axis scale as in the previous two residual plots: "
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"X7 = cz_df[predictors]\n",
"model_7var = LinearRegression().fit(X7, y)\n",
"\n",
"prediction_7var = model_7var.predict(X7)\n",
"error_7var = y - prediction_7var"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Seven-variable prediction for AUM=%{x} Error=%{y} ",
"legendgroup": "",
"marker": {
"color": "#1F77B4",
"symbol": "circle"
},
"mode": "markers",
"name": "",
"orientation": "v",
"showlegend": false,
"type": "scatter",
"x": [
42.21025258867458,
42.66860484071137,
42.30664730548271,
41.38334609543092,
38.98754722879082,
37.70517806351262,
42.48202213607266,
33.06350780777405,
41.40531372905216,
39.34497277113975,
42.69828228450962,
41.59660448660881,
41.25615230663374,
42.37698919024901,
43.379444611603624,
39.25693712373035,
41.39594670405742,
43.7310224408427,
43.810130325765165,
40.15555107129937,
38.723200173679146,
43.191855858807514,
41.09026240637222,
39.57183556265593,
43.99224763372875,
43.41543981110847,
42.74283605875724,
46.006324214081744,
41.6964196483722,
42.283209433313814,
42.98675114274227,
36.429414521679334,
38.177152326068295,
36.14228668343837,
39.60779001783975,
33.6371649354168,
38.510690176469744,
38.69393962146877,
39.23174559027359,
32.82290972617052,
38.78960090004262,
43.055060098478805,
36.981160376519874,
37.29093597354156,
40.64842764805208,
37.54081568581457,
37.331113868911366,
41.35723659765521,
40.90907344527366,
42.725425128488965,
38.6079272306185,
41.37459899160246,
44.796450932713824,
42.60506276192157,
42.64158819931698,
40.37610335257579,
36.80569404767606,
39.64567613025091,
35.18734249639174,
35.92968430190694,
36.21747939549701,
36.37717161378641,
33.27099047675702,
36.028930984693744,
40.19367199381492,
39.21367423575325,
38.56415431241526,
38.63602946402972,
30.367807589354996,
30.885832906889576,
35.01227603246584,
35.945014816802,
40.078469263265816,
34.06099028173108,
32.37192505746994,
32.63263330948671,
33.45334043013938,
29.81920141160159,
40.0807726203889,
43.233091135659684,
43.05690004509279,
36.70593967574153,
34.303426054449915,
36.286405346469365,
43.838713986489786,
34.86883876093757,
43.44820178161222,
37.17186183517461,
37.75932339810141,
41.56737815886347,
40.23752998748027,
35.935837632827074,
37.10450410441352,
34.48342000754061,
38.4897290021352,
40.283939602072515,
39.477230090226115,
44.504731892472805,
36.30112685730028,
40.08636547536008,
39.38104384166929,
41.512893541451525,
43.6651491169999,
33.42115694426442,
42.309932205883996,
43.8961026544705,
43.62596287160894,
45.251435019311266,
38.46614992528187,
44.059541428403,
43.95761890458966,
43.18115081795044,
44.031460272958924,
41.63765135642706,
41.094804061231045,
40.72714655188793,
37.85208562609036,
39.90636176249276,
44.02093401390042,
42.51188248731465,
42.152946730937316,
42.7074039435036,
42.64858156754254,
40.877496871775314,
40.21379115182391,
43.63042010627056,
42.39785698988172,
38.721070512895245,
44.165666776216206,
44.331732806686475,
39.808943753464376,
39.86040962390575,
43.31054045385309,
43.00818428293596,
44.7193693163958,
41.27666645990768,
42.62807684648233,
42.281392914278385,
38.37688717666757,
34.776436544670155,
40.035890834784745,
42.720248401679356,
38.319286822438855,
34.86429856417478,
30.91331318541183,
36.70158587399138,
37.53595463677483,
35.0234994587457,
39.39962027574032,
43.88038709020836,
42.735731790745334,
35.384790836528644,
34.93492859927934,
38.59648334931436,
33.76783167280185,
38.79817749423728,
40.555322799717494,
38.365131401062236,
40.377499520779004,
37.1543691678281,
37.07727973974495,
35.2634767467962,
40.478607548428,
33.345023140161445,
34.977820969817245,
38.07084529616979,
38.17926982067143,
39.01247074874972,
43.01698222768547,
43.27878242654682,
40.0353277283061,
35.02138813371161,
32.759226667262524,
36.02814698421684,
36.86009200462945,
32.261884288513976,
32.19551176685675,
37.560224343885956,
38.533096323508296,
39.752634034905455,
37.74078952746324,
40.061117938703205,
39.78653948596042,
39.54284764592154,
37.99425602452353,
38.298911370228865,
37.42651026462922,
38.88301139085332,
37.31056499137608,
36.39253176208894,
35.65644180844036,
39.52231055817732,
38.8643877945033,
37.897589785428785,
41.6769978336412,
41.69067850018247,
42.94302878209829,
41.08343350554801,
41.51975396065106,
38.90320045199382,
41.0248916330903,
38.63709560012513,
40.52949323119256,
37.27733649158671,
43.0154005426978,
40.538468300973086,
40.13237037620804,
46.00078632370964,
47.92710735645875,
43.38604399099424,
41.38703802222188,
38.322567233976216,
40.68168072032388,
41.997484503822726,
41.458374038227795,
41.87255476979153,
44.608862616918316,
39.9587720887054,
42.99017404895382,
44.04351853519243,
44.80008856929713,
45.46311589409644,
43.6093452535151,
45.98352964566027,
46.14005895182753,
40.111500379588755,
41.58029726957409,
39.861705023075885,
45.32809528618629,
46.50240920192835,
41.15065940674868,
45.38994670025516,
43.55660167517639,
41.88420527233619,
39.21763287290157,
41.06353357746415,
41.57574118395431,
38.98939680670201,
40.264888519542964,
39.19480194496774,
42.37962938737541,
41.39035797718268,
42.28403679107439,
45.271373257520715,
43.102110458111405,
40.78887983933314,
43.623971279775894,
45.70371828962625,
43.62360069848546,
40.50906234669453,
42.38722064148263,
39.32131295576413,
44.5867278727873,
42.18848377276897,
43.67873369987698,
43.39691987380361,
43.665101727342005,
44.24955512984479,
39.07232321595981,
46.40257541853775,
44.75424062327731,
47.36932283501905,
46.06164931406657,
43.13787884751177,
43.32509216083067,
42.3049319419484,
43.54857338678974,
42.38674948912334,
41.39677916807025,
43.979830072621155,
46.17232867232194,
41.99898795390195,
42.22948583883776,
45.54755721765235,
45.36933408430582,
42.18947242186217,
43.20309027721879,
45.05351197119145,
44.943373553594604,
42.31396921507714,
42.867014042821374,
41.98644938319627,
49.077488716015715,
44.88148580586451,
44.043005782219794,
42.97978673588575,
44.37519048470728,
44.76456533274944,
43.08674485403479,
39.93046914885796,
41.50557806692804,
42.91587700385306,
42.510826609298576,
41.292832893813554,
41.63480308580458,
43.63507123104501,
44.50879799871214,
45.72925110710221,
42.77979740409412,
41.97633446926757,
44.490504148268954,
37.6324254980476,
46.150019848757914,
43.377528836904254,
39.33143046346734,
38.918814715692676,
41.6781232249397,
42.85296718607015,
47.607647765687425,
41.48485245134695,
44.05099457672801,
44.217804685924584,
43.21991543011215,
41.57985511707442,
50.01220113177066,
42.87653890753097,
38.95274046814705,
43.73039020415997,
44.413102239475506,
42.73054791038057,
42.03332566785233,
47.60697089209747,
47.37267137980324,
46.76998488568529,
45.72563204945536,
50.31245177474563,
49.01225207765326,
47.65905251957777,
47.00172327565174,
49.0486120964498,
47.234297557714626,
46.98769176247579,
48.78546043624882,
45.49602725420465,
43.35552987939392,
40.77018639164403,
50.953509588462126,
52.86473630466248,
49.944160052337914,
50.52334268323692,
47.91379769729771,
43.634264655898946,
43.77251540938084,
45.874437970637565,
49.46277311732796,
49.173293701759775,
50.652956943943906,
43.46779958371645,
48.29826087280488,
55.51309047576737,
44.12994940049581,
49.97796127181405,
50.763500883283456,
48.44942107817397,
51.514704004886944,
52.7745884203386,
53.229695680691776,
51.63878935303506,
49.29457903264595,
52.03249155202748,
47.60125175139934,
46.82129359533458,
51.22732948032569,
46.04224231228193,
46.13335224778295,
46.43236864502922,
50.8108728805426,
45.23754950333663,
46.463622555110376,
45.912523483393194,
56.75935914628485,
51.79104635768936,
51.89844060202495,
49.49800606521164,
44.78239950009943,
46.70569322502776,
50.79331325403612,
52.103835356264355,
46.324584984740305,
47.78489434891749,
44.726026834698295,
43.42795613093124,
38.822816104520875,
45.50497955250998,
43.417504415722746,
42.2358332102228,
40.314476863297806,
45.63444540732769,
47.39172530326408,
46.699017925128175,
46.65103495509161,
44.74888597797575,
46.39119333130242,
40.9814412330202,
43.48042517212323,
44.12208877989232,
49.13076756748279,
48.374712321798384,
43.38401606240966,
43.478374540016844,
42.61816837925903,
43.70879076810991,
43.907946825692406,
45.5082775604963,
49.7227457803463,
56.82877550148526,
49.23676164267997,
53.695089129422335,
42.462595578523185,
49.487823635181385,
53.06030058022699,
55.37258579053628,
52.07894309077946,
49.33409266981623,
50.98010278294458,
53.568414127214375,
49.03211204006858,
47.72547750635756,
55.08129599210274,
51.706830151255254,
46.680751573340764,
50.78181695171035,
52.09501442822794,
46.761575059516375,
49.01715233445054,
45.1099779811431,
50.90653738513657,
47.83636185501606,
48.95019422358022,
43.972391139476954,
52.270085631730865,
46.25778901240273,
45.56006028443847,
45.74529442075415,
45.98501332750918,
43.871999310584414,
43.13642031730034,
51.25615900106233,
51.989731404382624,
46.89191899683754,
52.01673039323704,
50.28463040956381,
38.589638867289366,
51.51090305666477,
52.916894994383355,
53.52544177691685,
51.93799934294462,
51.92575712674076,
51.5582539674742,
53.20514687837054,
45.91352248679999,
51.48666314184824,
44.802556799529434,
39.453473921439056,
49.285528329775154,
34.34463290613085,
39.2169298096495,
54.125320855653044,
54.45046014829032,
51.55898347906221,
47.085737913470965,
51.603822938685084,
52.46385684148035,
50.799177572468004,
53.86394057718308,
50.52938185255532,
49.11744091120348,
45.392672243952,
49.38222107346269,
42.82237584938033,
50.99062766380251,
52.159822760728666,
52.438324857536514,
49.02767394967961,
51.8373638903174,
49.755853950210984,
53.299704282925795,
53.94981853299811,
45.890377568316175,
47.85607675934531,
46.78162780697708,
49.411726693563985,
51.11613822675481,
45.01031751501912,
45.17309657123864,
49.82841399680633,
49.28598676715737,
43.67503060328458,
46.64567124790788,
50.67571273935907,
50.10532206125855,
42.01364276800261,
41.84768964507914,
45.588251174808676,
53.405872568377546,
49.03840610509827,
47.01918345405326,
47.51162528154107,
44.73391203144443,
41.39101219757007,
45.911625629926064,
43.45660941419664,
48.425374015158454,
44.445637098576434,
48.45593891311242,
53.82663684054154,
51.28204695983384,
53.96365272787227,
54.15668380625269,
52.081791314006225,
52.113754102747734,
51.08819376250111,
50.56964642276053,
46.701141056559415,
50.02920760045647,
50.980045570920396,
56.466029814202635,
50.96329138836016,
54.22893696082391,
46.90942907960951,
50.74763461032056,
53.60239713957217,
46.61775823733799,
42.10394171192062,
43.09577660512968,
50.78335568223051,
45.59519821720748,
45.83573704726663,
48.38651654574595,
45.88257051311765,
44.14008657217527,
50.433843034722976,
55.632010500312774,
54.43501032101612,
51.22765044311392,
40.712687460332006,
46.405386868104216,
41.29680777269356,
41.35490387280611,
49.735447169143086,
47.75613345368548,
53.71891552107442,
43.672461215955195,
48.63637474781491,
48.546143891431676,
45.757998968653695,
49.18216063538552,
44.059087801827694,
40.53832609743053,
44.50214775202005,
42.681674345609764,
41.06305195608575,
43.30713210140163,
52.85599750473186,
44.094138385830746,
50.04649949858533,
51.450201307723226,
50.08915348769585,
49.80272956346269,
54.37461106356737,
51.20888806177538,
44.72639853635372,
47.155226096511456,
44.48219167773309,
41.224879686532645,
44.36177048433268,
40.137890088075025,
41.541945193689216,
45.6250847835895,
44.59355883087904,
50.28663663207325,
51.12323371819609,
47.86796193694623,
45.809499840205774,
47.1364884800866,
44.64890438216607,
43.169580840952584,
41.45550131209549,
42.70032282055327,
44.37227018056281,
40.7122380452497,
40.61052902161458,
41.626720268539465,
41.85069730808615,
43.79581979373283,
48.0057552648003,
45.95097585762373,
49.128149588280365,
46.207418526677536,
46.04275585609221,
48.49427045968663,
45.5940911407351,
49.1013274006971,
45.04053296669677,
48.10988648588091,
51.710702395311436,
44.186929811797434,
49.474212774533555,
49.04515348532769,
45.76876330640947,
48.20947647080251,
40.9950054887352,
43.292855447429744,
42.160067183754435,
41.69892736659756,
41.153118554924944,
42.756087597548266,
42.32453367713432,
42.493180021565784,
41.06083821847439,
43.52989428165959,
42.40209988730411,
42.706614140965655,
43.38054498643339,
44.15558783242525,
50.000262324549595,
49.89531915650576,
46.06002196618804,
43.52176858714807,
41.54111292084514,
46.719425635365816,
39.72539414215537,
42.16811335011956,
41.94309301726341,
42.08704461521271,
48.6670297293561,
47.39071456368302,
49.99231429838353,
44.87352744819536,
49.23280433483317,
44.23594954528736,
44.65282617986001,
45.22300933623036,
47.05158077554948,
50.762756431012946,
43.58661484238726,
47.179454177026194,
49.71291117597898,
48.11432812824624,
54.1648993741578,
44.28138130779638,
41.52820518892098,
42.96205844860152,
43.17390821596029,
39.50992793027249,
40.53810170934786,
47.20213944887428,
39.72562642357259,
42.34200935634661,
39.83528522859388,
45.36732482062059,
50.19467971998699,
47.204996618044824,
39.70778066676479,
41.12612411385385,
40.80395699522493,
45.617654245361145,
41.37410444630715,
40.88837468771089,
45.13231575143284,
46.069271319363246,
43.67608862118928,
44.66630026703667,
51.11981852145916,
52.23312819921263,
46.58324541182774,
53.56816500693661,
52.73674775388652,
46.84129926082065,
53.237535461810296,
50.598922907127715,
41.964489501579465,
39.19729234614784,
39.303874527028576,
41.63659438914274,
42.398553151326645,
40.99306469953187,
41.17212488689048,
40.85291670107358,
39.48489945844987,
43.737765973306445,
43.24734025802176,
41.29978902136357,
40.91482590486805,
47.37496377219552,
40.72750480370486,
43.366323438459226,
45.15382618722729,
41.23056176996703,
47.85438259865078,
48.11428386585282,
41.32720395543848,
39.04053879262095,
46.53193059847228,
46.60032462495513,
45.656504803202495,
40.49429941710611,
41.40695345988092,
40.77058460516005,
42.0126840257756,
44.12597946532845,
41.92770013741873,
42.519778211572834,
40.360421610304094,
40.09083371424222
],
"xaxis": "x",
"y": [
-3.8227525886745752,
-4.8918528407113655,
-3.257397305482712,
-3.542098095430923,
-1.664297228790815,
-1.2059280635126157,
-1.4877721360726568,
0.6837421922259495,
-1.9690607290521598,
-1.142722771139752,
-3.5155352845096175,
-1.8743564866088107,
-2.0666493066337353,
-3.032991190249014,
-2.133444611603622,
-1.308187123730356,
-0.8289487040574244,
-4.551522440842703,
-3.998880325765164,
-3.1863010712993685,
-2.245950173679148,
-4.847357858807513,
-5.65601240637222,
-3.7368355626559264,
-3.97549763372875,
-5.8646898111084695,
-7.186336058757242,
-4.768324214081744,
-1.1041696483721992,
-3.2702094333138163,
-2.154001142742274,
-1.6544165216793374,
-2.3146523260682983,
-1.103786683438372,
-2.6755400178397437,
-0.16716493541679966,
-0.8909401764697407,
-1.4861896214687746,
-1.7254955902735887,
2.76384027382948,
-1.494350900042619,
-2.2420600984788024,
0.9460896234801268,
0.6980640264584395,
-1.405927648052078,
0.33093431418542707,
0.7213861310886358,
2.6737634023447896,
2.7249265547263377,
-0.8579251284889651,
1.023324769381503,
-1.740848991602462,
-0.6702039327138252,
-0.7390627619215735,
-0.98583819931698,
-1.1433533525757866,
1.6650559523239394,
-3.2396761302509134,
-0.26384249639174584,
-0.015684301906937037,
0.16452060450298944,
-0.43242161378640986,
1.7357595232429759,
1.6580690153062534,
-3.1119189938149177,
0.12032576424675057,
1.502595687584737,
0.755220535970281,
6.9794404106450045,
3.9129170931104227,
1.3602239675341607,
3.6734851831979967,
0.40077873673418196,
4.712509718268919,
2.95932494253006,
2.937866690513296,
0.7934095698606214,
3.791298588398412,
-2.340019620388901,
-4.184839135659686,
-3.761400045092792,
0.5975603242584668,
1.7183239455500825,
0.5043446535306373,
4.750036013510211,
3.3109112390624276,
0.5257982183877772,
2.122640164825391,
2.30767460189859,
0.9928718411365338,
2.9514730125197275,
1.9536623671729245,
3.421995895586477,
3.652329992459393,
1.8625209978647987,
6.276560397927483,
-0.9149800902261163,
-5.936981892472808,
0.33612614269971886,
-2.50736347536008,
-1.391043841669287,
-1.6821435414515236,
-2.3521491169998967,
1.7973430557355812,
1.382564794116007,
0.8196453455294943,
1.1155371283910611,
-1.136185019311263,
-0.6296479252818656,
-2.9970414284030014,
-1.2871209045896563,
-0.5424008179504369,
-0.9872102729589258,
-1.50290135642706,
-1.9993070612310433,
-1.873896551887924,
0.5936643739096397,
2.7726382375072447,
-2.103934013900421,
-3.456882487314651,
-1.800696730937318,
-0.3354059435036021,
-2.5588295675425456,
-3.9304968717753113,
-1.2367911518239154,
-3.9779201062705596,
-0.035106989881718675,
-0.8455705128952431,
-0.05041677621620266,
-0.986982806686477,
3.4123062465356213,
-0.08440962390574924,
-0.24204045385309314,
-1.9184322829359601,
-2.784871316395801,
-2.8079164599076805,
-1.4575788464823276,
-0.8141429142783849,
-0.429387176667575,
0.9735634553298453,
-1.017890834784744,
-0.7754984016793571,
-0.735786822438854,
1.9909484358252172,
6.509936814588173,
1.317914126008624,
1.643295363225171,
0.8177485412543035,
2.8346297242596847,
-3.2023870902083615,
-5.313981790745331,
0.8242091634713589,
-0.23742859927934035,
-1.8209833493143606,
1.4946683271981556,
-2.6761794942372816,
-2.952322799717493,
-2.1841314010622384,
-3.3439995207790076,
-0.9821191678281025,
-0.9940277397449506,
0.19102525320379726,
-2.2056075484279987,
-0.20602314016144163,
-0.0523209698172451,
-2.1025952961697953,
-2.0267698206714257,
-3.515968748749721,
-4.949232227685471,
-3.7315324265468206,
-2.4343277283061013,
0.2218598662883906,
1.7802733327374725,
1.4306010157831608,
-0.5643420046294523,
2.268615711486028,
3.0197382331432507,
1.5722756561140443,
0.8896556764917065,
-0.523884034905457,
3.711210472536756,
-1.0648679387032018,
-0.27853948596041533,
-0.12659564592154027,
1.1197439754764673,
0.874088629771137,
0.10548973537077444,
-0.14101139085332193,
1.6399350086239153,
2.169720237911058,
2.217311191559638,
-0.33731255817731665,
0.8716122054966959,
6.654660214571216,
-0.13449483364119885,
3.723821499817525,
1.9022212179017117,
2.8880664944519907,
5.0474960393489425,
4.536799548006179,
5.4681083669097035,
3.70190439987487,
6.523006768807441,
1.55441650841329,
0.7040974573022041,
-0.6482183009730846,
3.0986296237919646,
-0.8617863237096373,
-1.6488573564587483,
-1.2372939909942389,
-1.2005380222218776,
-0.9910672339762172,
-1.1764307203238857,
-0.16148250382272522,
-0.5511240382277975,
-0.33105476979152826,
-2.370612616918315,
-1.9770220887054037,
-2.8666740489538185,
-2.3765185351924316,
-2.6875885692971337,
-3.4751128940964406,
-1.6023452535151037,
0.7022203543397296,
0.06144104817247609,
-1.849250379588753,
-2.911047269574091,
-2.0059550230758845,
-1.3060952861862916,
-1.8396592019283489,
-1.7629094067486832,
-1.6876967002551595,
-1.7993516751763892,
-2.2447052723361907,
-1.0151328729015674,
0.1584664225358523,
-0.5384911839543065,
-0.6546468067020115,
0.15786348045703846,
-1.5058019449677431,
-1.949877387375409,
-0.04110797718268344,
-4.96953679107439,
-1.8113732575207138,
-2.2996104581114025,
-1.5621298393331386,
-1.459221279775896,
-2.8282182896262498,
-3.1803476984854626,
-2.5578123466945257,
-1.8272206414826258,
-2.0963109557641246,
-4.8969778727873035,
0.06376622723102798,
-0.6177336998769789,
-2.159419873803614,
-0.0598547273420067,
0.7929448701552104,
1.6254267840401866,
0.9201745814622484,
-0.8984906232773113,
0.05092716498095484,
-1.8971523140665738,
-1.1348768475117694,
0.8371578391693291,
1.3430710580516063,
-1.16157638678974,
0.17525051087665844,
-1.9892791680702544,
-2.503830072621156,
-1.2543286723219396,
-0.7457379539019513,
0.5450141611622428,
-0.009057217652348015,
-0.5103370843058173,
0.5632775781378285,
1.2759097227812077,
2.4657410288085515,
2.1881264464053984,
2.8712807849228668,
0.8414859571786266,
0.8910506168037244,
-0.9022417160157161,
3.047764194135496,
1.8364942177802064,
4.120715264114246,
0.4675565152927206,
0.7641826672505587,
0.8595051459652083,
0.9147808511420408,
0.8364219330719607,
1.7198729961469397,
1.219173390701421,
0.6769171061864441,
2.564446914195422,
1.4431787689549864,
0.19695200128786183,
-2.13000110710221,
0.6317055959058848,
1.1731655307324331,
-1.9397541482689533,
6.123327501952396,
-0.9347698487579166,
0.6864711630957459,
-1.6096804634673418,
-0.22656471569267467,
0.09937677506030695,
-3.9124671860701525,
-3.970647765687424,
1.323147548653047,
-0.2434915767280117,
0.6254453140754137,
1.0465845698878482,
1.7888928829255732,
-6.612201131770661,
1.7337130924690314,
2.5390095318529546,
-1.218890204159969,
-0.17509923947550732,
0.4519520896194251,
0.4149243321476703,
-1.405470892097469,
-1.62342137980324,
-0.04423488568529166,
1.1748679505446376,
-3.132701774745634,
-1.2627520776532606,
-0.41055251957777017,
-2.7662232756517398,
0.13838790355019626,
1.7909524422853735,
0.6970582375242103,
2.2307895637511805,
-1.0025272542046508,
-2.875279879393922,
-1.4576863916440317,
1.695240411537874,
3.3162636953375184,
1.9320899476620852,
-1.9845926832369187,
3.1107023027022933,
0.5344853441010571,
3.370984590619166,
-0.1781879706375662,
1.0322298826720342,
-0.04729370175977721,
3.0332930560560953,
1.4472004162835503,
0.6747391271951173,
0.5686595242326291,
0.7328005995041877,
4.8915387281859495,
2.022999116716541,
3.5030819218260305,
0.40604599511305395,
2.485161579661394,
1.110054319308226,
0.3777106469649425,
0.6974209673540486,
4.527508447972522,
0.8179982486006594,
2.09995640466542,
0.7719225196743054,
0.990757687718073,
1.3871477522170466,
2.755631354970781,
2.741625119457403,
1.4169504966633681,
1.879127444889626,
4.135976516606803,
1.5338878537151501,
2.09295364231064,
2.898309397975055,
0.17624393478835998,
0.5251004999005673,
1.7935567749722452,
2.3824367459638793,
3.3841646437356445,
2.2501650152596966,
3.2353556510825072,
-1.8240268346982944,
-1.3717061309312442,
-0.40606610452087466,
-0.5962275525099798,
0.5709985842772554,
-0.821080210222803,
0.7612731367021937,
-0.5366954073276915,
-2.6372273032640834,
1.862982074871823,
-1.0987849550916096,
2.946114022024247,
0.8150566686975793,
-0.906944233020198,
-0.13642717212323419,
-0.8768387798923243,
1.4409824325172096,
0.07528767820161875,
-0.5955160624096578,
-1.1476245400168423,
-0.6766683792590342,
-1.1232907681099036,
-0.8571968256924052,
-1.3462745604963047,
4.840002219653698,
6.720971498514743,
-1.7332636426799723,
5.7124108705776635,
-1.6435955785231826,
6.745176364818612,
6.892702419773009,
5.896664209463722,
11.940306909220539,
6.295407330183771,
10.445647217055424,
3.181089872785627,
1.7766379599314206,
2.7217724936424403,
4.748702007897265,
4.7906698487447485,
-3.091499573340762,
0.32193304828965097,
4.946485571772058,
-3.7360750595163736,
-8.633402334450544,
1.9647720188568982,
-0.5902873851365769,
3.3223881449839396,
-4.932194223580218,
4.002610860523049,
-1.0428326317308674,
1.1089609875972712,
0.08668771556153132,
1.35870557924585,
1.725486672490824,
0.7294986894155855,
2.498329682699655,
2.5000909989376723,
2.3152685956173755,
2.4920840031624607,
2.785769606762962,
-1.6373834095638102,
-5.205138867289364,
0.23734694333522555,
1.8016050056166435,
-1.2229417769168478,
5.684000657055378,
0.3442428732592404,
0.5639960325258002,
-2.119899878370539,
-4.961772486799994,
-4.8156631418482405,
0.876193200470567,
-4.225720921439056,
-3.1792813297751508,
-7.672881906130847,
-4.404929809649502,
3.3194291443469552,
3.3930398517096805,
4.927020520937788,
2.595762086529035,
0.6316770613149174,
3.2573931585196476,
0.6830724275319966,
0.9958094228169188,
-0.2611318525553159,
-2.613190911203482,
0.0613297560480035,
3.233778926537312,
0.288124150619673,
2.544120336197487,
0.1811772392713351,
3.0739251424634872,
-0.7361739496796105,
0.6066361096826043,
3.069396049789013,
-1.920454282925796,
5.545931467001893,
0.18987243168382406,
3.0244232406546914,
2.3886221930229254,
3.247023306436013,
-0.6753882267548121,
1.4246824849808846,
-0.07734357123863589,
5.678590003193669,
0.13126323284263464,
6.661219396715417,
3.7078287520921194,
1.9612872606409297,
1.7356779387414534,
-0.21164276800261206,
-0.9091896450791452,
-0.774751174808678,
2.425627431622452,
-0.9459061050982669,
0.4333165459467381,
-4.8151252815410714,
0.4345909685555682,
0.8124878024299278,
-0.7006236299260635,
3.6101405858033573,
1.1418759848415476,
1.5406109014235696,
3.0948110868875816,
0.9828631594584607,
0.06345304016615927,
-0.5324047278722759,
2.2500661937473154,
-1.3445413140062215,
-0.029251102747736013,
-3.586193762501111,
-0.0353944227605254,
-1.288139056559416,
3.143292399543526,
-0.8052955709203928,
-3.6767768142026327,
1.8394586116398415,
1.2668130391760926,
-3.0526790796095113,
5.847865389679441,
4.002102860427833,
-2.64350823733799,
0.12156028807937957,
-1.6835266051296784,
-2.696605682230505,
-0.48719821720748513,
-0.9464890472666312,
-2.251266545745949,
-2.3230705131176492,
-1.6695865721752696,
-3.8950930347229757,
-6.757510500312776,
-0.5465103210161217,
-2.218647443113923,
0.30581253966799693,
-0.5763868681042155,
0.33844222730643736,
0.7020961271938901,
3.5178028308569154,
2.257616546314523,
-3.329915521074419,
0.3740387840448065,
-2.9958717478149097,
-2.9536438914316747,
0.40649803134630247,
1.7353393646144752,
1.3034121981723032,
1.6216739025694693,
0.9591022479799491,
0.6538256543902392,
2.679448043914249,
-1.935382101401629,
-6.189997504731863,
-1.2676383858307432,
0.5899975014146719,
-0.30494930772322704,
-2.25365348769585,
-5.307229563462691,
1.678888936432628,
-3.3826360617753863,
1.0983514636462814,
1.6417739034885415,
-0.7891916777330934,
-0.8101296865326475,
-1.1162704843326807,
0.9736099119249744,
3.9870548063107876,
-0.9385847835894978,
6.1444411691209595,
3.103863367926756,
1.0130162818039068,
4.065788063053773,
-0.833501840205777,
-1.8512384800866002,
0.26184561783392724,
0.9269191590474151,
2.6677486879045063,
-1.0150728205532644,
1.1089798194371951,
2.047011954750303,
2.6764709783854173,
0.006279731460537619,
1.5730506919138563,
-0.1458197937328336,
0.0022447351997030296,
-4.937475857623731,
-3.197399588280362,
1.4498314733224618,
0.43574414390779026,
-0.5920184596866349,
1.5984058592649006,
0.9604245993028968,
0.07171703330322998,
-3.6313864858809097,
-2.5544523953114364,
-0.330679811797431,
1.057287225466446,
-5.869650485327689,
-0.5947633064094688,
-0.2877264708025038,
-0.9615054887352059,
0.8746445525702526,
-1.673819183754432,
0.6210726334024415,
-0.8028685549249417,
-1.3280875975482687,
0.560466322865679,
1.3300699784342171,
-0.15533621847438894,
-1.940642281659585,
-0.1985998873041126,
-1.8608641409656528,
-1.8697949864333907,
-0.22708783242524788,
-5.2177623245495965,
-0.7640691565057551,
-2.3282719661880407,
-1.5600185871480647,
-1.4663629208451354,
-3.084175635365817,
-0.47514414215537215,
-0.9516133501195583,
-0.23434301726340578,
3.382705384787286,
-2.803027729356103,
-6.112964563683022,
-4.265314298383537,
-1.5900274481953645,
-7.994304334833167,
-2.7409495452873642,
0.9004238201399914,
0.9794906637696386,
-1.5580807755494845,
-2.039756431012947,
-0.9238648423872604,
-2.8554541770261963,
-3.3421611759789798,
0.32492187175375875,
-0.5501493741577974,
0.6983686922036227,
3.30179481107902,
0.6156915513984842,
-1.0231582159602866,
0.6393220697275126,
-0.25160170934786663,
-2.5266394488742776,
0.16412357642740716,
-0.7442593563466104,
-5.747288228593881,
-1.1855748206205874,
-6.22667971998699,
0.6820033819551767,
1.1067193332352119,
-0.35287711385385023,
0.4782930047750682,
-2.4444022453611467,
-0.8993544463071501,
0.2316253122891041,
0.26243724856716,
1.607728680636754,
-2.18808862118928,
5.051199732963333,
-4.870568521459155,
-2.187130199212632,
-0.5099954118277381,
-2.604915006936608,
-3.429997753886518,
-0.6887992608206446,
-2.7152854618102964,
5.954822092872284,
1.327510498420537,
2.603957653852163,
0.01237547297142072,
-2.0970973891427462,
-0.03405315132664555,
4.302935300468128,
0.166625113109518,
1.9833332989264179,
3.1703505415501354,
1.0087340266935527,
1.3346597419782427,
0.9902109786364264,
3.4494240951319455,
-2.4242117721955196,
3.5427451962951366,
0.6701765615407709,
-0.44257618722728864,
2.147688230032969,
-0.9291325986507815,
-0.8985338658528192,
0.0485460445615189,
0.997711207379048,
1.6845694015277246,
-1.4640746249551313,
-0.7032548032024977,
2.5899505828938842,
0.9082965401190819,
0.3944123948399465,
1.1680659742244046,
-0.0677294653284477,
-2.824950137418732,
1.6029747884271686,
1.0450803896959044,
3.1109162857577743
],
"yaxis": "y"
}
],
"layout": {
"height": 250,
"legend": {
"tracegroupgap": 0
},
"shapes": [
{
"line": {
"dash": "dash",
"width": 2
},
"opacity": 1,
"type": "line",
"x0": 0,
"x1": 1,
"xref": "x domain",
"y0": 0,
"y1": 0,
"yref": "y"
}
],
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "rgb(36,36,36)"
},
"error_y": {
"color": "rgb(36,36,36)"
},
"marker": {
"line": {
"color": "white",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "white",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "rgb(36,36,36)",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "rgb(36,36,36)"
},
"baxis": {
"endlinecolor": "rgb(36,36,36)",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "rgb(36,36,36)"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"colorscale": [
[
0,
"#440154"
],
[
0.1111111111111111,
"#482878"
],
[
0.2222222222222222,
"#3e4989"
],
[
0.3333333333333333,
"#31688e"
],
[
0.4444444444444444,
"#26828e"
],
[
0.5555555555555556,
"#1f9e89"
],
[
0.6666666666666666,
"#35b779"
],
[
0.7777777777777778,
"#6ece58"
],
[
0.8888888888888888,
"#b5de2b"
],
[
1,
"#fde725"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"colorscale": [
[
0,
"#440154"
],
[
0.1111111111111111,
"#482878"
],
[
0.2222222222222222,
"#3e4989"
],
[
0.3333333333333333,
"#31688e"
],
[
0.4444444444444444,
"#26828e"
],
[
0.5555555555555556,
"#1f9e89"
],
[
0.6666666666666666,
"#35b779"
],
[
0.7777777777777778,
"#6ece58"
],
[
0.8888888888888888,
"#b5de2b"
],
[
1,
"#fde725"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"colorscale": [
[
0,
"#440154"
],
[
0.1111111111111111,
"#482878"
],
[
0.2222222222222222,
"#3e4989"
],
[
0.3333333333333333,
"#31688e"
],
[
0.4444444444444444,
"#26828e"
],
[
0.5555555555555556,
"#1f9e89"
],
[
0.6666666666666666,
"#35b779"
],
[
0.7777777777777778,
"#6ece58"
],
[
0.8888888888888888,
"#b5de2b"
],
[
1,
"#fde725"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"line": {
"color": "white",
"width": 0.6
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"colorscale": [
[
0,
"#440154"
],
[
0.1111111111111111,
"#482878"
],
[
0.2222222222222222,
"#3e4989"
],
[
0.3333333333333333,
"#31688e"
],
[
0.4444444444444444,
"#26828e"
],
[
0.5555555555555556,
"#1f9e89"
],
[
0.6666666666666666,
"#35b779"
],
[
0.7777777777777778,
"#6ece58"
],
[
0.8888888888888888,
"#b5de2b"
],
[
1,
"#fde725"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"colorscale": [
[
0,
"#440154"
],
[
0.1111111111111111,
"#482878"
],
[
0.2222222222222222,
"#3e4989"
],
[
0.3333333333333333,
"#31688e"
],
[
0.4444444444444444,
"#26828e"
],
[
0.5555555555555556,
"#1f9e89"
],
[
0.6666666666666666,
"#35b779"
],
[
0.7777777777777778,
"#6ece58"
],
[
0.8888888888888888,
"#b5de2b"
],
[
1,
"#fde725"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
},
"colorscale": [
[
0,
"#440154"
],
[
0.1111111111111111,
"#482878"
],
[
0.2222222222222222,
"#3e4989"
],
[
0.3333333333333333,
"#31688e"
],
[
0.4444444444444444,
"#26828e"
],
[
0.5555555555555556,
"#1f9e89"
],
[
0.6666666666666666,
"#35b779"
],
[
0.7777777777777778,
"#6ece58"
],
[
0.8888888888888888,
"#b5de2b"
],
[
1,
"#fde725"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "rgb(237,237,237)"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "rgb(217,217,217)"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowhead": 0,
"arrowwidth": 1
},
"autosize": true,
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 1,
"tickcolor": "rgb(36,36,36)",
"ticks": "outside"
}
},
"colorscale": {
"diverging": [
[
0,
"rgb(103,0,31)"
],
[
0.1,
"rgb(178,24,43)"
],
[
0.2,
"rgb(214,96,77)"
],
[
0.3,
"rgb(244,165,130)"
],
[
0.4,
"rgb(253,219,199)"
],
[
0.5,
"rgb(247,247,247)"
],
[
0.6,
"rgb(209,229,240)"
],
[
0.7,
"rgb(146,197,222)"
],
[
0.8,
"rgb(67,147,195)"
],
[
0.9,
"rgb(33,102,172)"
],
[
1,
"rgb(5,48,97)"
]
],
"sequential": [
[
0,
"#440154"
],
[
0.1111111111111111,
"#482878"
],
[
0.2222222222222222,
"#3e4989"
],
[
0.3333333333333333,
"#31688e"
],
[
0.4444444444444444,
"#26828e"
],
[
0.5555555555555556,
"#1f9e89"
],
[
0.6666666666666666,
"#35b779"
],
[
0.7777777777777778,
"#6ece58"
],
[
0.8888888888888888,
"#b5de2b"
],
[
1,
"#fde725"
]
],
"sequentialminus": [
[
0,
"#440154"
],
[
0.1111111111111111,
"#482878"
],
[
0.2222222222222222,
"#3e4989"
],
[
0.3333333333333333,
"#31688e"
],
[
0.4444444444444444,
"#26828e"
],
[
0.5555555555555556,
"#1f9e89"
],
[
0.6666666666666666,
"#35b779"
],
[
0.7777777777777778,
"#6ece58"
],
[
0.8888888888888888,
"#b5de2b"
],
[
1,
"#fde725"
]
]
},
"colorway": [
"#1F77B4",
"#FF7F0E",
"#2CA02C",
"#D62728",
"#9467BD",
"#8C564B",
"#E377C2",
"#7F7F7F",
"#BCBD22",
"#17BECF"
],
"font": {
"color": "rgb(36,36,36)"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "white",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"height": 250,
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"margin": {
"b": 10,
"l": 10,
"r": 10,
"t": 10
},
"paper_bgcolor": "white",
"plot_bgcolor": "white",
"polar": {
"angularaxis": {
"gridcolor": "rgb(232,232,232)",
"linecolor": "rgb(36,36,36)",
"showgrid": false,
"showline": true,
"ticks": "outside"
},
"bgcolor": "white",
"radialaxis": {
"gridcolor": "rgb(232,232,232)",
"linecolor": "rgb(36,36,36)",
"showgrid": false,
"showline": true,
"ticks": "outside"
}
},
"scene": {
"xaxis": {
"backgroundcolor": "white",
"gridcolor": "rgb(232,232,232)",
"gridwidth": 2,
"linecolor": "rgb(36,36,36)",
"showbackground": true,
"showgrid": false,
"showline": true,
"ticks": "outside",
"zeroline": false,
"zerolinecolor": "rgb(36,36,36)"
},
"yaxis": {
"backgroundcolor": "white",
"gridcolor": "rgb(232,232,232)",
"gridwidth": 2,
"linecolor": "rgb(36,36,36)",
"showbackground": true,
"showgrid": false,
"showline": true,
"ticks": "outside",
"zeroline": false,
"zerolinecolor": "rgb(36,36,36)"
},
"zaxis": {
"backgroundcolor": "white",
"gridcolor": "rgb(232,232,232)",
"gridwidth": 2,
"linecolor": "rgb(36,36,36)",
"showbackground": true,
"showgrid": false,
"showline": true,
"ticks": "outside",
"zeroline": false,
"zerolinecolor": "rgb(36,36,36)"
}
},
"shapedefaults": {
"fillcolor": "black",
"line": {
"width": 0
},
"opacity": 0.3
},
"ternary": {
"aaxis": {
"gridcolor": "rgb(232,232,232)",
"linecolor": "rgb(36,36,36)",
"showgrid": false,
"showline": true,
"ticks": "outside"
},
"baxis": {
"gridcolor": "rgb(232,232,232)",
"linecolor": "rgb(36,36,36)",
"showgrid": false,
"showline": true,
"ticks": "outside"
},
"bgcolor": "white",
"caxis": {
"gridcolor": "rgb(232,232,232)",
"linecolor": "rgb(36,36,36)",
"showgrid": false,
"showline": true,
"ticks": "outside"
}
},
"title": {
"x": 0.5,
"xanchor": "center"
},
"width": 350,
"xaxis": {
"automargin": true,
"gridcolor": "rgb(232,232,232)",
"linecolor": "rgb(36,36,36)",
"showgrid": true,
"showline": true,
"ticks": "outside",
"title": {
"standoff": 15
},
"zeroline": false,
"zerolinecolor": "rgb(36,36,36)"
},
"yaxis": {
"automargin": true,
"gridcolor": "rgb(232,232,232)",
"linecolor": "rgb(36,36,36)",
"showgrid": true,
"showline": true,
"ticks": "outside",
"title": {
"standoff": 15
},
"zeroline": false,
"zerolinecolor": "rgb(36,36,36)"
}
}
},
"width": 350,
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
27.85150516719537,
58.79647174589148
],
"title": {
"text": "Seven-variable prediction for AUM"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"domain": [
0,
1
],
"range": [
-20,
15
],
"title": {
"text": "Error"
},
"type": "linear"
}
}
},
"image/png": "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",
"image/svg+xml": [
"30 40 50 −20 −10 0 10 Seven-variable prediction for AUM Error "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = px.scatter(x=prediction_7var, y=error_7var,\n",
" labels=dict(x='Seven-variable prediction for AUM', y='Error'),\n",
" width=350, height=250)\n",
"\n",
"fig.add_hline(0, line_width=2, line_dash='dash', opacity=1)\n",
"fig.update_yaxes(range=[-20, 15])\n",
"\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The model with seven features does not appear to be much better than the two-variable model. In fact, the standard deviation of the residuals has only decreased by 8\\%:"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"2.588739233574256"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"error_7var.std() "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can compare the multiple $R^2$ for these three models: "
]
},
{
"cell_type": "code",
"execution_count": 102,
"metadata": {
"tags": [
"hide-input"
]
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"R² for 7-variable model: 0.79\n",
"R² for 2-variable model: 0.74\n",
"R² for 1-variable model: 0.46\n"
]
}
],
"source": [
"print(f\"R² for 7-variable model: {model_7var.score(X7, y):.2f}\")\n",
"print(f\"R² for 2-variable model: {model_ct_sm.score(X2, y):.2f}\")\n",
"print(f\"R² for 1-variable model: {model_ct.score(X, y):.2f}\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The adjustment for the number of features in the model makes little difference for us since we have over 700 observations. Now we have confirmed our earlier findings that two variables greatly improves the explanatory capability of the model, and the seven-variable model offers little improvement over the two-variable model. The small gain is likely not worth the added complexity of the model. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"So far, our models have used only numeric predictor variables.\n",
"But categorical data is often useful for model fitting as well. Additionally, in {numref}`Chapter %s ` we transformed variables and created new variables from combinations of variables. We address how to incorporate these variables into linear models next."
]
}
],
"metadata": {
"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": "3.9.4"
}
},
"nbformat": 4,
"nbformat_minor": 4
}