{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Datahåndering III: Statistikk\n",
"\n",
"```{admonition} Læringsutbytte\n",
"Etter å ha arbeidet med dette temaet, skal du kunne:\n",
"1. bruke deskriptiv statistikk til å beskrive data med tall og visualiseringer\n",
"2. utføre regresjonsanalyse og tolke resultatene\n",
"```\n",
"\n",
"```{epigraph}\n",
"If your experiment needs a statistician, you need a better experiment.\n",
"\n",
"-- Fysikeren Ernest Rutherford (1871–1937)\n",
"```"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Deskriptiv statistikk\n",
"Vi kan bruke statistikk til å oppsummere, beskrive og tolke data. Vi skiller mellom to typer statistikk:\n",
"1. Deskriptiv statistikk: oppsummere og beskrive data\n",
"2. Statistisk interferens: trekke slutninger fra data\n",
"\n",
"Vi skal mest se på deskriptiv statistikk her. La oss vende tilbake til pingvindataene våre. Vi kan få en enkel statistisk oversikt over datasettet vårt ved å bruke funksjonen _describe_."
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
bill_length_mm
\n",
"
bill_depth_mm
\n",
"
flipper_length_mm
\n",
"
body_mass_g
\n",
"
\n",
" \n",
" \n",
"
\n",
"
count
\n",
"
342.000000
\n",
"
342.000000
\n",
"
342.000000
\n",
"
342.000000
\n",
"
\n",
"
\n",
"
mean
\n",
"
43.921930
\n",
"
17.151170
\n",
"
200.915205
\n",
"
4201.754386
\n",
"
\n",
"
\n",
"
std
\n",
"
5.459584
\n",
"
1.974793
\n",
"
14.061714
\n",
"
801.954536
\n",
"
\n",
"
\n",
"
min
\n",
"
32.100000
\n",
"
13.100000
\n",
"
172.000000
\n",
"
2700.000000
\n",
"
\n",
"
\n",
"
25%
\n",
"
39.225000
\n",
"
15.600000
\n",
"
190.000000
\n",
"
3550.000000
\n",
"
\n",
"
\n",
"
50%
\n",
"
44.450000
\n",
"
17.300000
\n",
"
197.000000
\n",
"
4050.000000
\n",
"
\n",
"
\n",
"
75%
\n",
"
48.500000
\n",
"
18.700000
\n",
"
213.000000
\n",
"
4750.000000
\n",
"
\n",
"
\n",
"
max
\n",
"
59.600000
\n",
"
21.500000
\n",
"
231.000000
\n",
"
6300.000000
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" bill_length_mm bill_depth_mm flipper_length_mm body_mass_g\n",
"count 342.000000 342.000000 342.000000 342.000000\n",
"mean 43.921930 17.151170 200.915205 4201.754386\n",
"std 5.459584 1.974793 14.061714 801.954536\n",
"min 32.100000 13.100000 172.000000 2700.000000\n",
"25% 39.225000 15.600000 190.000000 3550.000000\n",
"50% 44.450000 17.300000 197.000000 4050.000000\n",
"75% 48.500000 18.700000 213.000000 4750.000000\n",
"max 59.600000 21.500000 231.000000 6300.000000"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import pandas as pd\n",
"\n",
"pingvindata = pd.read_csv(\"data/penguins.txt\", delimiter = \",\")\n",
"pingvindata.describe()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Vi kan forklare disse størrelsene slik:\n",
"- count = antall registrerte tilfeller\n",
"- mean = gjennomsnittet for alle individer\n",
"- std = standardavviket (dette skal vi se nærmere på seinere)\n",
"- min = minste registrerte verdi\n",
"- 25 % = \"nedre kvartil\". Her har 25 % av pingvinene for eksempel en kroppsmasse mellom 3550 og minste verdi (2700).\n",
"- 50 % = \"midtre kvartil\". Her har 50 % av pingvinene for eksempel en kroppsmasse mellom 3550 og 4050.\n",
"- 75 % = \"øvre kvartil\". Her har 75 % av pingvinene for eksempel en kroppsmasse på 4750 eller under. Det betyr også at 25 % har en kroppsmasse på 4750 til maksverdien 6300.\n",
"- max = høyeste registrerte verdi\n",
"\n",
"Vi kan også finne mange av disse størrelsene ved å bruke ulike funksjoner:\n",
"\n",
"\n",
"\n",
"```{admonition} Underveisoppgave\n",
":class: tip\n",
"Prøv ut programmet ovenfor og utforsk de ulike variablene slik at du forstår hva alle de statistiske størrelsene betyr. Forklar begrepet kvartil.\n",
"```\n",
"\n",
"### Mål på spredning\n",
"Det finnes mange måter å beskrive spredningen i en variabel på. Vi skal se på følgende måter:\n",
"- Variasjonsbredde\n",
"- Interkvartilbredde\n",
"- Varians og standardavvik\n",
"\n",
"Variasjonsbredde er et enkelt mål på spredning, nemlig differansen mellom største og minste verdi ($x_{maks} - x_{min}$. De to andre målene må vi se litt nøyere på.\n",
"\n",
"```{admonition} Underveisoppgave\n",
":class: tip\n",
"Regn ut variasjonsbredden i nebbdybde hos pingvinene.\n",
"```\n",
"\n",
"#### Interkvartilbredde\n",
"Vi har sett hvordan vi kan regne ut kvartiler.\n",
"\n",
"```{admonition} Kvartiler og persentiler\n",
":class: note\n",
"Kvartiler er fjerdedeler av et utvalg. For eksempel er nedre kvartil ($Q_1$) den høyeste verdien av en variabel som tilhører de 25 \\% minste verdiene innenfor en variabel. Midtre kvartil ($Q_2$) er verdien midt i datasettet, det vil si at 50 \\% av dataene ligger over og under dette punktet. Den midtre kvartilen kalles også for _medianen_. Tredje kvartil ($Q_3$) markerer verdien som 75 \\% av dataene ligger under (og de resterende 25 \\% av dataene ligger over).\n",
"\n",
"Dersom vi bruker en vilkårlig prosent som ikke representerer en fjerdedel, kaller vi det en _persentil_.\n",
"```\n",
"\n",
"Differansen mellom første og tredje kvartil er et godt mål på spredning. Dette er et mål på spredningen til de 50 \\% midtre dataene, og påvirkes derfor ikke av data som ligger langt unna de andre dataene (såkalte \"uteliggere\"). Dette målet kalles _interkvartilbredde_ (_IQR_) eller bare _kvartilbredde_:\n",
"\n",
"$IQR = Q_3 - Q_1$\n",
"\n",
"Kvartiler kan visualiseres enkelt med et _boksplott_:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import seaborn as sns\n",
"\n",
"sns.boxplot(data = pingvindata, x = \"species\", y = \"bill_depth_mm\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Vi kan forklare dette plottet slik:\n",
"\n",
"- Den svarte linja midt i boksene er medianen.\n",
"- 50 \\% av verdiene ligger innenfor boksene. Boksene markerer altså interkvartilområdet, fra $Q_1$ til $Q_3$.\n",
"- Vi har to utstikkere på hver side av boksen. De viser $IQR\\cdot1.5 = 1.5(Q_3 - Q_1)$ i begge retninger.\n",
"- Verdier som ligger utenfor disse utstikkerne, kalles _uteliggere_. Dette er unormalt store eller små verdier. Dette kan si oss noe om vi har mange unormale verdier eller om vi har noen få som vi kanskje kan fjerne ved nærmere statistisk analyse. Vi ser kun én uteligger hos Adelie-pingvinene, med unormalt dypt nebb.\n",
"\n",
"```{admonition} Underveisoppgave\n",
":class: tip\n",
"Lag et boksplott over kroppsmasse som funksjon av øya pingvinene er funnet på. Identifiser eventuelle uteliggere.\n",
"```\n",
"\n",
"````{admonition} Underveisoppgave\n",
":class: tip, dropdown\n",
"```{code-block} Python\n",
"sns.boxplot(data = pingvindata, x = \"island\", y = \"body_mass_g\")\n",
"```\n",
"````"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Et alternativ til boksplott er fiolinplott. Prinsippet er ganske likt som med boksplott, men det viser i tillegg fordelingen av de ulike verdiene ved å angi \"tynne\" og \"tykke\" områder. Medianen markeres med en hvit prikk, og IQR med en tykk, svart linje. Uteliggere markeres ofte ikke i fiolinplott."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.violinplot(data=pingvindata, x='species', y='bill_depth_mm')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Varians og standardavvik\n",
"\n",
"I motsetning til IQR, som tar utgangspunkt i medianen, tar varians og standardavvik utgangspunkt i gjennomsnittet. Varians ($\\sigma^2$) er et mål på variasjonen i et datasett og skrives ofte som $\\sigma^2$. Det er definert som den gjennomsnittlige kvadrerte avstanden til gjennomsnittet av variabelen:\n",
"\n",
"$\\sigma^2 = \\frac{1}{n-1}\\sum_{i=1}^n(x_i-\\bar{x})^2$\n",
"\n",
"Her er _n_ totalt antall målinger, $x_i$ er hver måleverdi og $\\bar{x}$ er gjennomsnittet av alle måleverdier. Egentlig bør vi jo dele på $n$ når vi skal finne gjennomsnittet av denne differansen. Men vi deler på $n - 1$ istedenfor $n$ fordi datasettet vårt inneholder et utvalg måledata fra en tenkt fullstendig populasjon. Når vi deler på $n - 1$ får vi en større varians enn når vi deler på $n$. En forklaring på dette er at dersom vi hadde samlet inn data fra hele populasjonen, eller gjort tusenvis av målinger av den samme parameteren, ville spredningen (variansen) av målingene vært litt mindre sammenliknet med når vi har færre datapunkter. Vi kaller derfor variansen som er definert ovenfor, for _empirisk varians_.\n",
"\n",
"Kort oppsummert gjør vi følgende for å regne ut varians:\n",
"1. Finner differansen mellom hver måleverdi/hvert datapunkt og trekker fra gjennomsnittet. Dette gir avstanden mellom et målepukt og den gjennomsnittlige verdien.\n",
"2. Kvadrerer differansen for å kun få positive verdier. Om vi ikke hadde gjort dette, ville mange negative og positive verdier utlignet hverandre, slik at for eksempel to ekstreme verdier på hver sin side av gjennomsnittet ville gitt 0 i varians.\n",
"3. Summerer alle de kvadrerte differansene og deler på antallet målinger (her antallet målinger minus 1). Dette gir den gjennomsnittlige variansen for hele variabelen.\n",
"\n",
"Siden vi kvadrerer avstanden mellom verdier og gjennomsnittet når vi regner ut varians, blir ofte variansen svært stor dersom det finnes noen verdier som ligger et stykke unna gjennomsnittet. I tillegg får den kvadrerte enheter (som $g^2$ og $mm^2$, og det er vanskelig å sammenlikne den med måledataene. Derfor er det vanligere å bruke _standardavvik_ som et mål på spredning. Det er definert som den posive kvadratrota av variansen:\n",
"\n",
"$\\sigma = \\sqrt{\\frac{1}{n-1}\\sum_{i=1}^n(x_i-\\bar{x})^2}$\n",
"\n",
"Vi kan enkelt finne variansen og standardavviket med Pandas. Pandas deler på $n-1$, og ikke $n$, slik som vi også har gjort."
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [],
"source": [
"varians = pingvindata[\"bill_depth_mm\"].var()\n",
"standardavvik = pingvindata[\"bill_depth_mm\"].std()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"```{admonition} Underveisoppgave\n",
":class: tip\n",
"Forklar hva varians og standardavvik er. Lag to Python-funksjoner som regner ut henholdsvis gjennomsnitt og standardavvik. Funksjonene skal gi samme svar som _std_- og _mean_-funksjonen i Pandas.\n",
"```"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Visualisering av feil\n",
"En enkel visualisering av standardavviket når vi gjør flere ulike målinger, er ved hjelp av usikkerhetsstolper. Usikkerhetsstolper kan vi bruke når vi har gjort flere målinger på samme variabel. Vi kan ta som eksempel et eksperiment der vi skal konstruere en standardkurve for magnesiumkonsentrasjonen i en vannprøve. Vi bruker en serie på 0.2, 0.3, 0.4, 0.5 og 0.6 $\\mu$g/mL Mg$^{2+}$ som vi analyserer tre ganger hver med et flammeatomabsorpsjonsspektrofotometer (for øvrig et nydelig ord!). Da har vi tre målinger for absorpsjon per konsentrasjon. Nedenfor ser du en måte å gjøre dette på. Vi bruker funksjonen _errorbar_ som tar $x$-verdier, gjennomsnittet og standardavviket som parametre. I tillegg kan vi sette streker på toppen av feilen med _capsize_ i en ønsket størrelse. Hvis vi ikke ønsker strekene mellom datapunktene i plottet ovenfor, kan vi legge inn argumentet _fmt='none'_."
]
},
{
"cell_type": "code",
"execution_count": 92,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"konsentrasjon = [0.2, 0.3, 0.4, 0.5, 0.6]\n",
"absorbans = [[0.21, 0.22, 0.19], [0.26, 0.29, 0.24], [0.33, 0.33, 0.34], [0.41, 0.42, 0.45], [0.56, 0.61, 0.58]]\n",
"\n",
"standardavvik = []\n",
"snitt = []\n",
"\n",
"for element in absorbans:\n",
" snitt.append(np.mean(element))\n",
" standardavvik.append(np.std(element, ddof = 1)) # ddof = 1 betyr at vi deler på n - 1.\n",
"\n",
"plt.errorbar(konsentrasjon, snitt, yerr = standardavvik, capsize=5)\n",
"plt.errorbar\n",
"plt.xlabel('Konsentrasjon ($\\mu g/mL$)')\n",
"plt.ylabel('Absorbans')\n",
"plt.title('Magnesiuminnhold i vann')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Det finnes også tilsvarende plott i seaborn-biblioteket, som er enklere å bruke dersom vi har dataene som en data frame:"
]
},
{
"cell_type": "code",
"execution_count": 97,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 97,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.pointplot(data=pingvindata,x=\"species\", y=\"flipper_length_mm\", capsize=.1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Regresjon\n",
"Alle måledata er _diskrete verdier_. Det betyr at de er ikke-kontinuerlige, altså at det ikke finnes uendelig mange verdier mellom punktene vi har. Vi representerer diskrete data som punkter dersom vi plotter det, mens kontinuerlige data/funksjoner plotter vi som linjer og kurver. Noen ganger kan vi derimot lage kontinuerlige modeller som representerer de diskrete dataene våre. En slik modell kan beskrive både verdier imellom datapunktene, men også utenfor datasettet vi har samlet. En enkel form for modellering er _regresjon_.\n",
"\n",
"```{admonition} Regresjon\n",
":class: note\n",
"Regresjon er en prosess der vi tilnærmer diskrete data med en kontinuerlig funksjonsmodell. \n",
"```\n",
"\n",
"La oss ta et eksempel der vi har brukt et spektrometer til å måle absorbansen til ulike standardløsninger med permanganationer $MnO_4^{-}$. Vi har gjort dette fordi vi har en løsning med ukjent innhold av permanganationer. Da trenger vi å gjøre en lineær regresjon for å kunne avgjøre hvilken konsentrasjon absorbansen til den ukjente prøva tilsvarer. Programmet nedenfor lager en standardkurve/kalibreringskurve med funksjonen _polyfit_ fra numpy-biblioteket. Denne funksjonen bruker _minste kvadraters metode_ til å tilpasse funksjonsverdier til datapunktene på en måte som gir minst mulig varians."
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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uU7lyZVJSUtizZ0+m00sPGDCAQYMGnZzH58iRIxkeB7Bo0SISEhK45JJLaN26NRMnTsxySmlw6xh888037Nixg7Zt2/7t+AULFvDwww8zZcoUKlSoQM+ePf+2oE6nTp147LHHuPrqq9m2bRutWrVi3bp1ACQkJDB//nyKFi2aZ38vY0LGtm3Qowd8/TU0buwmictmCpaCLuISwcCZG04mgTRJySkMnLkhTxOBr+Tk5Aynl87JcQ0bNqRy5coAdOzYkfnz52ebCNq1a0ehQoWIiYlh9+7dJ7evW7eO7t27880331CmTJkM3zt79uy/LW35559/kpiYCLjZRi0JmIiTmgr/+5/rA1CFd96BXr2gUOg3rERcIth5IOP5+TPbnltbtmwhKiqKCy+8kBdeeCHD6aXTy2waash42ur029NPFX3WWWedfO66ZJyLL76Yo0ePsnz58kwTQWpqKj/++GOGsfpOQW1MRNiwAbp2dbODtmwJw4ZBxYrBjirPhH4qy6EypTL+JZvZ9tzYu3cvPXv2pHfv3ohIptNLp58aOrPjwDUN/fzzz6SmpjJu3DiuvvpqwN1pvW7dOlJTU5k0aZJf8ZUqVYrp06fTv3//k3cppo+lZcuWvPPOOydf27oCJiIlJ7upIWrXhrVrYfRo1yQURkkAIjAR9G1VlaKF/z7Va9HCUfRtVfW0zpuUlHRy+GiLFi1o2bIlzz33HECm00vXqlWLqKgoateuzeDBgzM9DtzCMb1796ZatWpUqlSJ2267DYABAwbQpk0bGjduzMUXX+x3vNHR0UybNo2HHnqIhQsXcssttzBp0qSTncVvv/02S5YsoVatWsTExDB06NDT+vsYE3KWL3dTRPfvD23auEni7r23QM0RlGcym5a0oD7yYhrqScu2a+NX52jFp6Zp41fn6KRl2/16f7DExcXpzTffnKv32jTUkcHKnIeSklSfflo1Kko1Olr1888Dc51cCNQ01BHXRwBudFCgOoaNMSHs++/d3cEbNsB998GgQW7G0DAXcU1DoahZs2ZZLhVpjDlNhw65G8OaNoWjR2HmTBg1KiKSAIRRIlCfUTEmdNjnZoJu5kyoUQOGDHHJYM0aNzIogoRFIihSpAj79u2zL5UQo6rs27cv0+G0xgTU/v3QpYtbLezss2HePHjrLfC5Wz9ShEUfQbly5di+fTt79+7N8rijR49G3JdOQS9zkSJFKFeuXLDDMJHmiy/cFNG//+7WDfjXv6AA/38SaGGRCAoXLkylSpWyPS4+Pj5PF0AJBZFYZmMy9dtv0Ls3TJzo5gX6+ms3WVyEC4umIWOMyZKquxksJsbNEDpgACxcaEnAExY1AmOMydTWrdC9O8ya5UYFvf8+XH55sKMqUKxGYIwJTykpbs3gGjXghx/cqKD4eEsCGbAagTEm/Kxb5yaJW7DAjQoaNgwqVAh2VAWW1QiMMeEjOdktEhMbC+vXu8VjZsywJJANqxEYY8LD0qVueoiVK+GOO1yzUHR0sKMKCVYjMMaElLSlZlfvOEiTAd8y9YdNbrGYRo1gzx63kPy4cZYEcsBqBMaYkPG3pWbLQ9nVi6k18B7Yv8PVBgYNglKlgh1myLEagTEmZKQtNVvs2BGuHT2M8Z/2o1DKCR55YKAbFmpJIFesRmCMCRk7DyTRbPMSXpk5hDKJvzOy/q0MatqZo2cW4e1gBxfCLBEYY0LDvn28981b3Lh8FhtLV2DCcwN4Kak6AGXzcKnZSGRNQ8aYgk0Vxo+HatVotTqOIU070abLW+yu4paXzYulZiOd1QiMMQXXzp3QqxdMmQL161No9mzKppTmgpkbgEOULVWUvq2q2oqDp8kSgTGm4FF1K4Q98QQcOwYDB8Kjj8IZZ9AOt9xsfHw8D/+jWXDjDBOWCIwxBcuWLdCtG3z7LVx7rRsNVKVKsKMKa9ZHYIwpGFJS4M03oWZNWLwYhg51ycCSQMAFNBGISGsR2SAim0SkXwb7K4hInIgsF5FVInJTIOMxxhRQa9dCkybw2GPQvDkkJECPHlDIfqvmh4D9lUUkChgC3AjEAB1FJCbdYf8CxqtqHeAu4L1AxWOMKYCOH4cXX4Q6dWDTJvjkE/jyS7DlS/NVIPsIGgKbVHULgIiMBW4FEnyOUaCE97wksDOA8RhjCpLFi920EKtXQ8eObuH4Cy4IdlQRSVQ1MCcW6QC0VtWu3uvOQCNV7e1zzMXAN8C5wDlAC1VdmsG5ugPdAaKjo+uNHTs2VzElJiZSrFixXL03VFmZI0MolbnQ0aNUHD2a8hMmcPy889j42GPsa9w4x+cJpTLnldMpc/PmzZeqav0Md6pqQB5AB+B9n9edgXfTHfM48IT3/CpcbaFQVuetV6+e5lZcXFyu3xuqrMyRIWTKHBenWqWKKqh276564MBpnCouz8IKFadTZmCJZvK9GsiemB1AeZ/X5bxtvh4AxgOo6g9AEeD8AMZkjAmGgwehZ0/XEazqRgMNGwYlSwY7MkNgRw0tBi4TkUoiciauM3hqumO2AdcDiEg1XCLYG8CYjDH5bdo0qF4dRoxwN4itWuUSgikwApYIVPUE0BuYCazDjQ5aKyIvikhb77AngG4ishL4DOjiVWGMMaFu717o1AluuQXOPdctID9oEJx9drAjM+kE9M5iVZ0BzEi37Vmf5wlAk0DGYIzJZ6owdiw88ohrEnrhBbeC2JlnBjsykwmbYsIYk3e2b4cHH3TNQQ0bwsiRUKNGsKMy2bDb9owxpy81FYYPd30Bc+bAf/8LCxZYEggRViMwxpyeTZvcJHHx8a4TeMQIuPTSYEdlcsBqBMaY3DlxAt54A2rVgmXLXAKYM8eSQAiyGoExJudWr3bTQyxeDG3bwnvvQVlbHCZUWY3AGOO/Y8fgueegbl3YutWNDpo82ZJAiLMagTHGPwsXulrA2rVw990weDCcbxMBhAOrERhjsnb4MDz+OFx1lbsvYNo0+OgjSwJhxGoExpjMffutGxG0ZYu7P2DAAChRIvv3mZBiNQJjzKkOHHAJ4PrrISrKDQ197z1LAmHKEoEx5u+mTIGYGBg1Cv75T1i50i0ib8KWJQJjjLNnD9x1F7Rr51YKW7gQXnsNihYNdmQmwCwRGBPpVOHjj6FaNZg0CV56CZYsgfoZL2Zlwo91FhsTQSYv38HAmRvYeSCJMqWK8mzt4rR693mYMQOuvNJNEhcTE+wwTT6zRGBMhJi8fAf9J64mKTkF0VSax31Bk+c+4EQhOOPNN6F3b9cxbCKOJQJjIsTAmRtISk6h0v4dDPjqbRptX8u8S2J5644n+bzPP4IdngkiSwTGRIjd+xPpsXgSj83/lGNRhel7Yx8m1GyBiAQ7NBNklgiMiQQrVzLtkye5YudPfH35Vfz7hgfZW+w8AMqUslFBkc4SgTHh7NgxePllGDCAiiVK0af900y59CrwagFFC0fRt1XVIAdpgs2GjxoTrhYsgDp1XCLo1IkiG9fT/JlelD33bAQoW6oor/5fTdrVsZlDI53VCIwJN4mJ8Mwz8M47UL48fPUVtG4NQLvS2Be/OUW2NQIReV1ESohIYRGZIyJ7ReTu/AjOGJNDs2ZBzZrw9tvw0EOwZs3JJGBMZvxpGmqpqn8CbYCtQBWgbyCDMsbkzBmHDsH990PLlnDWWTBvnqsRFC8e7NBMCPCnaSjtmJuBCap60IabGVOATJpEg65d3VoB/fvDs89CkSLBjsqEEH8SwTQRWQ8kAQ+KyAXA0cCGZYzJ1q5d8PDD8PnnHK9ShbNmzXJLSBqTQ9kmAlXtJyKvAwdVNUVEDgO3Bj40Y0yGVOHDD+Gxx+DIEfjPf1jWoAHXWhIwueTvqKErgIoi4nv8hwGIxxiTlV9+gR49YOZMaNIE3n8frrgCjY8PdmQmhGWbCETkI+BSYAWQ4m1WLBEYk39SU90KYf36udfvvAO9ekEhuxXInD5/agT1gRhV1ZyeXERaA28BUcD7qjogg2PuAJ7HJZeVqtopp9cxJqxt2AAPPADffw+tWsGwYXDJJcGOyoQRf35OrAEuyumJRSQKGALcCMQAHUUkJt0xlwH9gSaqWh14NKfXMSZsJSfDq69C7dqQkACjR7ubwywJmDzmT43gfCBBRBYBx9I2qmrbbN7XENikqlsARGQsrpM5weeYbsAQVf3DO+eeHMRuTPhavtzdF7BiBXTo4JqCLsrx7zFj/CLZtfiISIarVqvq3Gze1wForapdvdedgUaq2tvnmMnARqAJrvnoeVX9OoNzdQe6A0RHR9cbO3ZsljFnJjExkWLFiuXqvaHKyhxaCh0/ziVjxlBh7FiSS5Zk46OP8vs112T7vlAuc25ZmXOmefPmS1U14/VHVTUgD6ADrl8g7XVn4N10x0wDJgGFgUrAr0CprM5br149za24uLhcvzdUWZlDyLx5qpdfrgqq992nun+/328N2TKfBitzzgBLNJPvVX/mGrpSRBaLSKKIHBeRFBH5048EtAMo7/O6nLfN13Zgqqomq+rPuNrBZX6c25jwceiQWyayaVM4fhy++QZGjYJzzw12ZCZC+NNZ/C7QEfgJKAp0xXUCZ2cxcJmIVBKRM4G7gKnpjpkMNAMQkfOBy4Et/gRuTFiYORNq1HBDQx95BFavhhtuCHZUJsL4NQhZVTcBUaqaoqofANlOZ6iqJ4DewExgHTBeVdeKyIsiktbRPBPYJyIJQBzQV1X35aYgxoSU/fvh3nvdzKBnnw3z58Nbb0GEtXmbgsGfUUNHvF/0K7ypJn7D/wQyA5iRbtuzPs8VeNx7GBP+VOGLL9wU0fv3u3UD/vUvmyTOBJU/X+idveN6A4dx7f7tAxmUMWHpt9+gfXu4/XYoVw4WL3arh1kSMEHmz6Rzv3g1gorARGCDqh4PdGDGhA1VdzPY44/D0aPw2mvu+Rm2QKApGPyZa+hmYCiwGRCgkoj0UNWvAh2cMSHv55+he3eYPduNCnr/fbj88mBHZczf+POT5A2guddhjIhcCkwHLBEYk5mUFBgyxC0UU6iQGxXUo4dNEmcKJH8SwaG0JODZAhwKUDzGhL5169wkcT/8ADfeCEOHQoUKwY7KmExlmghE5P+8p0tEZAYwHjdD6O24ewSMMb6Sk137/0svuWGgH30E//gH2NKupoDLqkZwi8/z3UDanEN7ARvmYIyvpUvdJHGrVsGdd8Lbb8OFFwY7KmP8kmkiUNX7vKmkH1HVwfkYkzGhIykJnn8eBg2C6GiYPBlutZVcTWjJso9A3RrFHQFLBCbiTV6+g4EzN7DzQBJlShVlwPl/0PT1/vDTT9C1KwwcCKVKBTtMY3LMn87i70XkXWAc7oYyAFR1WcCiMqaAmbx8B/0nriYpOYVix47Qc/x7NF0+g8NlK3DO7Nlw/fXBDtGYXPMnEcR6/77os02B6/I8GmMKqIEzN5CUnEKzzYv5z8whXHRoH+/Xv5XPbunGHEsCJsT5c2dx8/wIxJiCLGnnLgbPGcFtCfFsLF2B9nf3Y3nZK5AjwY7MmNPnz53FJYHngLRlkuYCL6rqwUAGZkyBoArjxzNn1EMUSzrEW407MuSqOzh+RmEAypQqGuQAjTl9/jQNjcItYH+H97oz8AHwf5m+w5hwsHMnPPggTJ0KMbVpf3UPVp37141hRQtH0bdV1SAGaEze8Od+90tV9TlV3eI9XgAqBzowY4JG1c0JFBPjVgsbNIhzVy7h/p5tKVuqKAKULVWUV/+vJu3qlA12tMacNn9qBEkicrWqzgcQkSZAUmDDMiZItmyBbt3g22/h2mtdQqhSBYB2dcraF78JS/4kggeBMV5fgQD7gS6BDMqYfJeS4u4GfuYZNz30sGHu3gCbJM5EAH9GDa0AaotICe+1PwvXGxM61qxxk8QtWgQ33+wmiStXLthRGZNvsv25IyJ9vCRwCPiviCwTkZaBD82YADt+HF54AerWdU1Cn34KX35pScBEHH/qvfd7tYCWQGncqKEBAY3KmEBbvBjq1XPzBN1+OyQkQMeONlOoiUj+JIK0/zNuAj5U1bU+24wJLUeOwJNPwpVXwh9/uKGhn3wCF1wQ7MiMCRp/OouXisg3QCWgv4gUB1IDG5YxARAX50YEbd7sVgt77TUoWTLYURkTdP4kggdw8w1tUdUjIlIauC+gURmTlw4ehH/+E4YPh0svdUNDm9vMKcak8WfUUKqIVATuFhEF5qvqpIBHZkxe+PJL6NkTdu1yTUIvvABnnx3sqIwpUPwZNfQe0BNYjZtqooeIDAl0YMaclr17oVMnaNsWSpeGH3906wVYEjDmFP40DV0HVFNVBRCRMUBCQKMyJrdUuXD2bOjQAf7809UA+vWDM88MdmTGFFj+JIJNQAXgF+91eeCngEVkTG5t3w4PPkjMtGnQqBGMHAnVqwc7KmMKvEwTgYh8iVuApjiwTkQWebsaAIvzITZj/JOaCiNGQN++cOIEm3r1osrbb0NUVLAjMyYkZFUjGJTBNgGaAnf5c3IRaQ28BUQB76tqhjeiiUh74HOggaou8efcxgBuveBu3WDuXLjuOhgxgu3btlHFkoAxfsu0s1hV56Y9gD+BNsBoXJ/B0OxOLCJRwBDgRiAG6CgiMRkcVxzoAyzMTQFMhDpxAgYNglq1YMUKN0vo7NlQ2WZINyansmoauhzo6D1+xy1eLzlYurIhsElVt3jnGwvcyqkdzS8BrwF9cxa6iVirVrlJ4pYsgVtvhffegzJlgh2VMSFLvMFAp+4QSQXmAQ+o6iZv2xZV9esnl4h0AFqralfvdWegkar29jmmLvCMqrYXkXjgyYyahkSkO9AdIDo6ut7YsWNzUMS/JCYmUqxYsVy9N1SFU5nl+HEu+eQTKnzyCSeKF+enRx5hb7Nmp8wPFE5l9peVOTKcTpmbN2++VFXrZ7hTVTN8AO2AscCvwAjgeuDnzI7P4P0dcP0Caa87A+/6vC4ExAMVvdfxQP3szluvXj3Nrbi4uFy/N1SFTZl/+EE1JkYVVO++W/X33zM9NGzKnANW5shwOmUGlmgm36tZ9RFMVtW7gCuAOOBR4EIR+Z+f01DvwA01TVPO25amOFADiBeRrcCVwFQRyThjmch0+DA89hg0buzuC5g+HT76yN0kZozJE9neWayqh1X1U1W9Bfdlvhx4yo9zLwYuE5FKInImbqTRVJ/zHlTV81W1oqpWBH4E2qqNGjJp5syBmjXhzTfdNBFr18JNNwU7KmPCTo7W4VPVP1R1uKpe78exJ4DewExgHTBeVdeKyIsi0jZ34ZqIcOCAWyayRQu3bOTcua5DuESJYEdmTFjy587iXFPVGcCMdNuezeTYZoGMxYSIKVPgwQdhzx546il47jkoWjTYURkT1gKaCIzx2+7d8MgjMH481K7tZg2tVy/YURkTEXLUNGRMnlN1nb8xMTB5Mrz88l/LSBpj8oXVCEzwbNvmOoG/+gquuspNEletWrCjMibiWI3A5L/UVNf5W7266wh+6y2YN8+SgDFBYjUCk782bnQjgubNgxtugGHDoFKlYEdlTESzGoHJHydOuMXia9WC1avhgw9g5kxLAsYUAJYITOCtXOkWiunXj7lVGtDwH2/TZFcFJq/YGezIjDFY05AJpKNH3Sig117jaMlz+Wf7Z5ha5Sq370AS/SeuBqBdnbJBDNIYY4nABMaCBW6q6PXr4d57aVehHeuPF/7bIUnJKQycucESgTFBZk1DJm8lJrobw66+Go4cga+/htGj2ZAuCaTZeSApnwM0xqRnicDknW++gRo14N134aGHYM0aaNUKgDKlMp4mIrPtxpj8Y4nAnL4//oD77nNf+kWKwHffwTvvQPHiJw/p26oqRQv/fR3hooWj6Nuqan5Ha4xJx/oIzOmZONH9+t+7F/r3h2efdckgnbR+gIEzN7DzQBJlShWlb6uq1j9gTAFgicDkzq5d0Ls3fPEFxMbCjBlQp06Wb2lXp6x98RtTAFnTkMkZVRg92k0SN20a/Oc/sGhRtknAGFNwWY3A+G/rVujRw3UKN2kC778PV1wR7KiMMafJagQme6mprvO3Rg13f8C777oOYUsCxoQFqxGYrK1f7yaJ+/57Nypo2DC45JJgR2WMyUNWIzAZS0527f+1a0NCAowZ49YNsCRgTNixGoE51bJlbnqIFSugQwfXFBQdHeyojDEBYjUC85ekJHcvQMOGbnjoF1/AhAmWBIwJc1YjMM78+a4WsHEj3H8/DBoE554b7KiMMfnAagSR7tAhd2NY06Zw/DjMmuXWDrYkYEzEsEQQyb76yq0b/N570KePWzmsRYtgR2WMyWeWCCLRvn1wzz1w001QrJgbGvrmm+65MSbiWCKIJKqu8zcmBj77DP71L1i+HK66KtiRGWOCyDqLI8Vvv0GvXjB5MtSr56aJqF072FEZYwoAqxGEO1UYNQqqVXOrhb3+Ovz4oyUBY8xJAU0EItJaRDaIyCYR6ZfB/sdFJEFEVonIHBGx21bz0s8/U6tvXzcstHZtWLkS+vaFM6wiaIz5S8ASgYhEAUOAG4EYoKOIxKQ7bDlQX1VrAZ8DrwcqnoiSkgJvvQU1alBi3Tr43/8gLg4uvzzYkRljCqBA1ggaAptUdYuqHgfGArf6HqCqcap6xHv5I1AugPFEhoQEt3D8o4/Ctdey+IMPoGdPKGStgMaYjImqBubEIh2A1qra1XvdGWikqr0zOf5dYJeqvpzBvu5Ad4Do6Oh6Y8eOzVVMiYmJFAvTIZKSnEyFzz7jko8/JqVoUX7q3Zs9LVqQePhw2JY5M+H8OWfGyhwZTqfMzZs3X6qq9TPcqaoBeQAdgPd9XncG3s3k2LtxNYKzsjtvvXr1NLfi4uJy/d5gm7RsuzZ+dY5WfGqaNn51jk5atv2vnYsXq9aqpQqqd92lunv3yV2hXObcsjJHBitzzgBLNJPv1UD2Gu4Ayvu8Ludt+xsRaQE8A1yrqscCGE/Imrx8B/0nriYpOQWAHQeS6D9xNYWOJtF20nB44w246CKYMgXatg1ytMaYUBPIRLAYuExEKuESwF1AJ98DRKQOMAzXhLQngLGEtIEzN5xMAmlqbV5BnVu6wr4d0K2bGxZaqlRwAjTGhLSAJQJVPSEivYGZQBQwSlXXisiLuCrKVGAgUAyYICIA21TVftKms/NA0snnxY4doV/8B9y94it+KXURzJkD110XxOiMMaEuoAPKVXUGMCPdtmd9ntsMZ34oU6ooOw4k0XzzYl6ZOYToxP2MaNCOsW26MseSgDHmNNmdRSHgmYYXcKJPH9quiWNj6Qr0urs/Gy6J4dVbagY7NGNMGLBEUJCpwrhx3PTww6QeOMjI6+/h9djbOP/8Erzaqirt6pQNdoTGmDBgiaCg2rHDTRI3dSo0aEChkSN5oGZNHgh2XMaYsGO3mxY0qjBihJsqetYst2TkDz9ATWsGMsYEhtUICpLNm91Q0Lg4aNbMJYQqVYIdlTEmzFmNoCBISYH//tf96l+6FIYNc8NCLQkYY/KB1QiCbc0aN030okXQpo2bKbSczb1njMk/ViMIluPH4YUXoG5d2LLFLR05daolAWNMvrMaQTAsWuRqAWvWQKdObu2A888PdlTGmAhlNYL8dOQIPPGEWyz+jz/gyy/hk08sCRhjgspqBPklLg66dnXNQD16wGuvQcmSwY7KGGOsRhBwBw9C9+5uYjgRlxCGDrUkYIwpMCwRBNKXX7obw0aOhCefhFWr3P0BxhhTgFgiCIS9e6FjR7dITOnS8OOPMHAgnH12sCMzxphTWCLIS6qu87daNfjiC3jxRViyBBo0CHZkxhiTKessziu//goPPgjTp0OjRq45qHr1YEdljDHZshrB6UpNdZ2/1au7juDBg+H77y0JGGNChtUITsdPP7lJ4ubOheuvh+HDoXLlYEdljDE5YjWC3DhxwnX+1qoFK1bA+++7KaMtCRhjQpDVCHJq1So3PcSSJXDrrfDee1CmTLCjMsaYXLMagb+OHYNnn4V69WDbNhg/HiZNsiRgjAl5ViPwxw8/uFrAunXQubPrEC5dOthRGWNMnrAaQVYOH4ZHH4UmTSAxEWbMgA8/tCRgjAkrViPIzOzZbkTQ1q1uEflXX4USJYIdlTHG5DmrEaR34IBrBrrhBihc2A0NHTLEkoAxJmxZIvA1ebKbJG7MGOjXD1auhGuuCXZUxhgTUNY0BLB7Nzz8MEyYALVru1lD69ULdlTGGJMvIrtGoOo6f6tVgylT4JVXYPFiSwLGmIgS0EQgIq1FZIOIbBKRfhnsP0tExnn7F4pIxUDG8zfbtsFNN8G998IVV7g7hJ9+2vULGGNMBAlYIhCRKGAIcCMQA3QUkZh0hz0A/KGqVYDBwGuBiuek1FTX+Vu9OsybB2+/7f6tVi3glzbGmIIokH0EDYFNqroFQETGArcCCT7H3Ao87z3/HHhXRERVNRABFd22Da69FubPd6OChg+HihUDcSljjAkZgUwEZYFffV5vBxpldoyqnhCRg0Bp4Pc8j2bUKBr07AnnnAMffOCahETy/DLGGBNqQmLUkIh0B7oDREdHEx8fn+NzlDx8mIsaNODnJ57g+HnnufsDIkBiYmKu/l6hzMocGazMeSeQiWAHUN7ndTlvW0bHbBeRM4CSwL70J1LV4cBwgPr162uz3CwA36wZ8TVrkqv3hrD4+HgrcwSwMkeGQJU5kKOGFgOXiUglETkTuAuYmu6YqcC93vMOwLeB6h8wxhiTsYDVCLw2/97ATCAKGKWqa0XkRWCJqk4FRgIficgmYD8uWRhjjMlHAe0jUNUZwIx02571eX4UuD2QMRhjjMlaZN9ZbIwxxhKBMcZEOksExhgT4SwRGGNMhLNEYIwxEU5Cbdi+iOwFfsnl288nENNXFGxW5shgZY4Mp1PmS1T1gox2hFwiOB0iskRV6wc7jvxkZY4MVubIEKgyW9OQMcZEOEsExhgT4SItEQwPdgBBYGWODFbmyBCQMkdUH4ExxphTRVqNwBhjTDqWCIwxJsJFTCIQkdYiskFENolIv2DHkx9EZKuIrBaRFSKyJNjxBIKIjBKRPSKyxmfbeSIyS0R+8v49N5gx5rVMyvy8iOzwPusVInJTMGPMSyJSXkTiRCRBRNaKSB9ve9h+zlmUOSCfc0T0EYhIFLARuAG3dvJioKOqJgQ1sAATka1AfVUN25tuROQaIBH4UFVreNteB/ar6gAv6Z+rqk8FM868lEmZnwcSVXVQMGMLBBG5GLhYVZeJSHFgKdAO6EKYfs5ZlPkOAvA5R0qNoCGwSVW3qOpxYCxwa5BjMnlAVb/DLWrk61ZgjPd8DO5/oLCRSZnDlqr+pqrLvOeHgHVAWcL4c86izAERKYmgLPCrz+vtBPCPWoAo8I2ILBWR7sEOJh9Fq+pv3vNdQHQwg8lHvUVkldd0FDbNJL5EpCJQB1hIhHzO6coMAficIyURRKqrVbUucCPwkNekEFG8NbDDv/0T/gdcCsQCvwFvBDWaABCRYsAXwKOq+qfvvnD9nDMoc0A+50hJBDuA8j6vy3nbwpqq7vD+3QNMwjWRRYLdXhtrWlvrniDHE3CqultVU1Q1FRhBmH3WIlIY94X4iapO9DaH9eecUZkD9TlHSiJYDFwmIpVE5EzgLmBqkGMKKBE5x+tkQkTOAVoCa7J+V9iYCtzrPb8XmBLEWPJF2hei5zbC6LMWEQFGAutU9b8+u8L2c86szIH6nCNi1BCAN8zqTSAKGKWqrwQ3osASkcq4WgDAGcCn4VhmEfkMaIabnnc38BwwGRgPVMBNWX6HqoZN52omZW6Gay5QYCvQw6f9PKSJyNXAPGA1kOptfhrXZh6Wn3MWZe5IAD7niEkExhhjMhYpTUPGGGMyYYnAGGMinCUCY4yJcJYIjDEmwlkiMMaYCGeJwBhjIpwlAmOMiXCWCIxfRKSHiAz1nhcWkY9EZIx3G3ww4iknInfm4fliRWRAXp0vm2v1EBEVkWY+2x7ytt3gx/vbi8hCEVkpIktEpFW6/TVFZFq6x4VZnK+oiMz1pmsPCBE5U0S+E5EzAnUNk3v2oRh/1QRWiUgJYCKwUFWfCWI81wMxwLj0O0QkSlVTcnIyVV0BrMiTyLJXE1gJXAHEi8jZQFdgL7AqqzeKSCfgYeBWVd0lIpcB80Skgar+CqCqq4E2OYjnfmBiTv9mOaGqx0VkDnAn8EmgrmNyx2oExl+1cHPgxwMT0pKAiFwhIt96qyXNFpHzve0TReRl71fgNhFpkXYiEbnXmxp7lYjM97ZVEpEp3i/cRSJSNbPzeLff/xfo4F23sohMEJFhIvIj0F9EOojIj96v5vkickFm1/a2fyQizXJZnlOuJSL1RCTe55gaIrLA5285FpcIAB4BJgCpqro7s2t5c0YNwE2lsAtAVX/yPpPrT+Oz/QcwRUQqish6EflERNaJyOdekiKzfT7bR4vIRm9/CxH5XtzKYb6Tok32rmUKGlW1hz2yfQB/4H6x3uKz7SxgLRDrvX4KeMV7/hPwpPf8NuAD73lxIAE403tdCigMzAEu9bbd5HN8Zuf5GqjhE8t64EWf16V9nj8HPJTRtX2OWYWbzz5H5cniWmcDO322TwRaeM/3ApW9MpQCluPmCpqdTZkfACZn8NmMAfrk8nM9E9jlPa+Im8Omifd6lE8cGe7ztp/A1XIK4VbSGgUIbuGYyT7XigL2Bvu/ZXuc+rAagcmWiJTHLY24GvCd/bAdMF9dswq4L9kLvV+RJYHB3vbCwAHveQpQFHhDROqr6gHvPNWBL0RkBfA6cDSb81TFffkjIkWA84AXfWLr4tUsVgK9gKOZXBtxM9Keg/syzml5MryWqh4BkkSklIjUxS2jONv7W+5T1S3AhUBf4B3gcmB1NteqgWtSSq827rPJjfPTleVXVf3ee/4xcLUf+35W1dXqpkZeC8xR982/GpcoAFDX9HRcvFlxTcFhfQTGH2lt2t2AH0Vksaoux7XRr053XIK3fan+1eZcC2+6XFU9IiI1gFuA4SLyPlAGeEZVR/peVETqZ3Qer7nmoKqe8LZXx/VZnPDedw9unvbrVDVRRL4D1mZ0bVV9z4t3XW7Kk9m1vOMScM0//wb+5XPOtGscAlp7738TWJbVtYCDuFqY79/oKqAEMJfcSQKK+LxOPwul+rHvmM+2VJ/XqZz6HXMWLimbAsRqBMYftYDV6qa77QqME5GSuMV9YuDktNedgQ9xX3Yr0r1/lXfcZap6WFXHAtNwX0K/Aa1EpJB3TE0RkSzOUxHY6bO9Jn/vZK0JLPC+mNsDjXG/tjO6Nrhf1CtzU57MruXtW4vriBWfX9K1fPYPBHp7X/ppCSKra00D7vDp77gceB+4Ly1xiFuHYomI+NVZrKp/AFFerQqggpdcADoB830Oz2pftkSkNPC7qibn5H0m8CwRGH+c/BWrqrNwc8CPAj4CyojIalzn5/2quo9Tv8xq8Nev2mdEZIOILAMqAe955yoErPOahp7ymhYyO8964HwRWSMijTk1EYwGeonIItxar1tU9XAm14a/EkFuypPZtcAlgq78VRtI+1um1Y6mqeoP3vYY7/hMr6WqS4CXgDleM9T7QE9V9a0NPIX7fHLiG/5q5tmAW9Z0HXAubmlE/Njnj+bA9By+x+QDW4/ARDwvMdymqr8EO5bTIe4ehNK4ms7vqjrNz/fVBR7DNWFNU9UaGRxTMbN9OYhvItBPVTfm9hwmMKyPwEQsbzjmPGBWqCcBTzNcp3cMrqN6hteBmyVVXSYicbhRPQHhdchPtiRQMFmNwJgwIyJdyEGNwBhLBMYYE+Gss9gYYyKcJQJjjIlwlgiMMSbCWSIwxpgIZ4nAGGMinCUCY4yJcJYIjDEmwv0/LEoxlCh337sAAAAASUVORK5CYII=\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"permanganat = [4.0, 8.0, 12.0, 16.0, 20.0] # konsentrasjon i ppm\n",
"absorbans = [0.18, 0.32, 0.51, 0.68, 0.85]\n",
"\n",
"reg = np.polyfit(permanganat, absorbans, 1) # får koeffisientene a og b i en lineær regresjon (grad 1)\n",
"x = np.linspace(0, 25, 1000) # nye x-verdier for regresjonslinja\n",
"y = np.polyval(reg, x) # gir et uttrykk på formen y = ax + b, der x = permanganatkonsentrasjonen\n",
"\n",
"plt.scatter(permanganat,absorbans,label='Datapunkter')\n",
"plt.plot(x, y, color = 'red',label='Tilpasset kurve')\n",
"plt.legend()\n",
"plt.title('Standardkurve')\n",
"plt.xlabel('$Konsentrasjon av MnO_4^-$ (ppm)')\n",
"plt.ylabel('Absorbans')\n",
"plt.grid()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Funksjonen _polyfit_ utfører polynomregresjon på dataene våre, og tar som argument $x$- og $y$-verdiene i datasettet, og deretter graden av polynomet. Her har vi brukt grad 1 for lineær regresjon. Dette gir en array med koeffisientene _a_ og _b_ for uttrykket $y = ax + b$. Tilsvarende vil en andregradsregresjon gi koeffisientene _a_, _b_ og _c_ for $ax^2 + bx + c$ og så videre. Vi kan dermed bruke disse koeffisientene videre til å lage nye $y$-verdier basert på de opprinnelige $x$-verdiene. Til det kan vi bruke funksjonen _polyval_, som tar to parametre: koeffisientene som er gitt av polyfit-funksjonen og de nye _x_-verdiene som vi skal regne ut funksjonsverdier til.\n",
"\n",
"La oss si at den ukjente prøva med permanganationer ga en absorbans på 0.40. Vi kan bruke regresjonskurven vår til å finne hva slags konsentrasjon dette tilsvarer på følgende måte:"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Konsentrasjonen til permanganat = 9.5 ppm.\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"permanganat = [4.0, 8.0, 12.0, 16.0, 20.0] # konsentrasjon i ppm\n",
"absorbans = [0.18, 0.32, 0.51, 0.68, 0.85]\n",
"ukjent_abs = 0.40\n",
"\n",
"# Gjør regresjonen\n",
"reg = np.polyfit(permanganat, absorbans, 1) # får koeffisientene a og b i en lineær regresjon (grad 1)\n",
"x = np.linspace(0, 25, 1000) # nye x-verdier for regresjonslinja\n",
"y = np.polyval(reg, x) # gir et uttrykk på formen y = ax + b, der x = permanganatkonsentrasjonen\n",
"\n",
"# Regner ut den ukjente konsentrasjonen\n",
"ukjent_kons = (ukjent_abs - reg[1])/reg[0]\n",
"print(\"Konsentrasjonen til permanganat =\", round(ukjent_kons,1), \"ppm.\")\n",
"\n",
"plt.scatter(permanganat,absorbans,label='Datapunkter')\n",
"plt.plot(x, y, color = 'red',label='Tilpasset kurve')\n",
"plt.plot(ukjent_kons, ukjent_abs, linestyle = \" \", marker = \"o\", color = 'seagreen', label = \"Ukjent løsning\")\n",
"plt.legend()\n",
"plt.title('Standardkurve')\n",
"plt.xlabel('$Konsentrasjon av MnO_4^-$ (ppm)')\n",
"plt.ylabel('Absorbans')\n",
"plt.grid()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"```{admonition} Underveisoppgave\n",
":class: tip\n",
"Fritt klor ($Cl_2$) finnes i en del drikkevann fordi klorforbindelser blir tilsatt klorforbindelser for å desinfisere vannet. I programmet nedenfor har vi lagt inn en serie målinger som er gjort på standardløsninger av konsentrasjonen av fritt klor i vann gitt i ppm. Gjør en regresjon av dataene og lag en standardkurve. Regn ut konsentrasjonen av fritt klor i en drikkevannsprøve med absorbans 0.656 ppm.\n",
"\n",
"\n",
"\n",
"```\n",
"\n",
"````{admonition} Løsningsforslag\n",
":class: tip, dropdown\n",
"\n",
"```{code-block} Python\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"klor = [0, 0.50, 1.00, 1.50, 2.00] # konsentrasjon i ppm\n",
"absorbans = [0.000, 0.270, 0.543, 0.813, 1.084]\n",
"ukjent_abs = 0.656\n",
"\n",
"# Gjør regresjonen\n",
"reg = np.polyfit(klor, absorbans, 1) # får koeffisientene a og b i en lineær regresjon (grad 1)\n",
"x = np.linspace(0, 2.2, 1000) # nye x-verdier for regresjonslinja\n",
"y = np.polyval(reg, x) # gir et uttrykk på formen y = ax + b, der x = permanganatkonsentrasjonen\n",
"\n",
"# Regner ut den ukjente konsentrasjonen\n",
"ukjent_kons = (ukjent_abs - reg[1])/reg[0]\n",
"print(\"Konsentrasjonen til fritt klor =\", round(ukjent_kons,2), \"ppm.\")\n",
"\n",
"plt.scatter(klor,absorbans,label='Datapunkter')\n",
"plt.plot(x, y, color = 'red',label='Tilpasset kurve')\n",
"plt.plot(ukjent_kons, ukjent_abs, linestyle = \" \", marker = \"o\", color = 'seagreen', label = \"Ukjent løsning\")\n",
"plt.legend()\n",
"plt.title('Standardkurve')\n",
"plt.xlabel('Konsentrasjon av Cl$_2$ (ppm)')\n",
"plt.ylabel('Absorbans')\n",
"plt.grid()\n",
"plt.show()\n",
"```\n",
"````\n",
"\n",
"Når vi har utført regresjon, kan vi også forutsi datapunkter som er utenfor datapunktene våre. Dette kaller vi _ekstrapolering_. Ved å ekstrapolere kan vi forutsi hvordan et system _har vært_ eller _kommer til å bli_. En skal derimot være svært forsiktig med å trekke slutninger basert på ekstrapolering! Det kan likevel være en god indikasjon på trender og utviklingen i et system."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Vi kan også lage visualiseringer med automatiske regresjonskurver. La oss vende tilbake til pingvinene våre. For å se om det kan være noen sammenhenger som er verdt å lage en modell av, kan vi enkelt visualisere mange ulike variabler mot hverandre ved å bruke et parplott (_pairplot_) fra seaborn-biblioteket:"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import seaborn as sns\n",
"\n",
"sns.pairplot(data = pingvindata, hue = \"species\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"```{admonition}\n",
":class: tip\n",
"Studer plottet ovenfor. Hva forteller de ulike plottene deg? Hvilke variabler ser det ut som det er en lineær sammenheng mellom?\n",
"```\n",
"\n",
"Vi tar utgangspunkt i kroppsmasse og vingelengde, som ser ut til å være lineært avhengig av hverandre. Et plott med regresjonslinje kan vi lage ved å bruke funksjonen _lmplot_ (eller _regplot_) fra seaborn-biblioteket:"
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 58,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.lmplot(data = pingvindata, x = \"body_mass_g\", y = \"flipper_length_mm\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Vi ser at vi får en regresjonslinje med et svakt blått område på hver side av linja. Dette området indikerer usikkerheten i verdiene. Desto større dette området er, desto mer usikkert er det at regresjonslinja er en god modell i dette området. Vi kan gjøre dette tydeligere ved å velge to variabler som ikke varierer så godt lineært:"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 59,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.lmplot(data = pingvindata, x = \"bill_depth_mm\", y = \"flipper_length_mm\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Vi kan også gjøre regresjon på ulike variabler, slik som ulike arter, for seg:"
]
},
{
"cell_type": "code",
"execution_count": 61,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 61,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.lmplot(data = pingvindata, x = \"bill_depth_mm\", y = \"flipper_length_mm\", hue = \"species\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Korrelasjon\n",
"Korrelasjoner kan brukes til å analysere sammenhenger mellom parametre. Korrelasjon beregnes som en verdi mellom -1 og 1. En verdi som brukes ofte som mål på korrelasjon, er _Pearsons korrelasjonskoeffisient_. Positiv korrelasjon betyr at det er en proporsjonal sammenheng mellom parametrene, og en negativ korrelasjon betyr at det er en omvendt proporsjonal sammenheng. Desto større absoluttverdien til korrelasjonen er, desto større sammenheng er det mellom parametrene. Vi kan visualisere korrelasjon gjennom et korrelasjonsplott:"
]
},
{
"cell_type": "code",
"execution_count": 99,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
],
"text/plain": [
" bill_length_mm bill_depth_mm flipper_length_mm \\\n",
"bill_length_mm 1.000000 -0.235053 0.656181 \n",
"bill_depth_mm -0.235053 1.000000 -0.583851 \n",
"flipper_length_mm 0.656181 -0.583851 1.000000 \n",
"body_mass_g 0.595110 -0.471916 0.871202 \n",
"\n",
" body_mass_g \n",
"bill_length_mm 0.595110 \n",
"bill_depth_mm -0.471916 \n",
"flipper_length_mm 0.871202 \n",
"body_mass_g 1.000000 "
]
},
"execution_count": 108,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pingvindata.corr()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Vi ser for eksempel at det er ganske stor positiv korrelasjon mellom nebblengde og lengden på vingene (luffene). Det betyr at dersom en pingvin har langt nebb, har den ofte også lange vinger. Det er derimot negativ korrelasjon mellom nebbdybde og vingelengde, som betyr at desto dypere nebb, desto kortere vinger har pingvinen.\n",
"\n",
"Det er derimot viktig å ikke blande korrelasjon med årsak-virkning (kausalitet). Den ene tingen forklarer ikke nødvendigvis den andre (selv om det kan gjøre det), det er bare en sammenheng mellom parametrene.\n",
"\n",
"```{admonition} Underveisoppgave\n",
":class: tip\n",
"I programmet nedenfor finner du datasettet \"iris.txt\". Les inn datasettet og gjør en korrelasjonsanalyse av variablene. Hvilke faktorerer korrelerer positivt og negativt med hverandre? Finnes det logiske forklaringer på det?\n",
"\n",
"\n",
"```\n",
"\n",
"````{admonition} Løsningsforslag\n",
":class: tip, dropdown\n",
"```{code-block}\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"\n",
"iris = pd.read_csv(\"iris.txt\")\n",
"corr = iris.corr()\n",
"\n",
"sns.heatmap(corr, annot=True,)\n",
"plt.xticks(rotation=45) \n",
"plt.show()\n",
"```\n",
"````"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"I videoene nedenfor kan du få en innføring eller repetisjon i den grunnleggende teorien bak deskriptiv statistikk og regresjonsanalyse:\n",
"\n",
"````{tab-set} \n",
"```{tab-item} Regresjon\n",
"\n",
"```\n",
"````"
]
}
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