Unterschiede

Hier werden die Unterschiede zwischen zwei Versionen angezeigt.

--- p:ki:machinelearning2 [2024/05/02 08:57] – Tscherter, Vincent
+++ p:ki:machinelearning2 [2024/06/27 07:56] (aktuell) – [2. Die Näherung mithilfe von Daten annähern] Ralf Kretzschmar
@@ Zeile 41: / Zeile 41: @@
   * Was bedeutet das dafür, wie gut der Fehler $e=J(w)$ anhand von Daten abgeschätzt werden kann? Halte deine Überlegungen im Textfeld fest. {{gem/plain?0=N4XyA#2a2d1614368f8273}}
   * Vergleiche danach deine Antwort mit der unseren am Ende dieses Auftrags.
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+{{exorciser/jspg?javascript=%2F%2F%20%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%0A%2F%2F%20CONSTANTS%20AND%20GLOBAL%20VARIABLES%0A%2F%2F%20%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%0A%0A%2F%2F%20global%20variables%0Alet%20button%3B%0Alet%20slider%3B%0Alet%20drawSize%3B%0Alet%20drawnNoOfSix%3B%0Alet%20expectedNoOfSix%3B%0Alet%20difference%3B%0A%2F%2Fnoprotect%0A%0A%0A%2F%2F%20%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%0A%2F%2F%20FUNCTIONS%0A%2F%2F%20%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%0A%0A%2F%2F%0A%2F%2F%20Calculate%20drawnNoOfSix%2C%20expectedNoOfSix%20and%20difference%0A%2F%2F%0Afunction%20calulateEverything%28%29%20%7B%0A%09%2F%2F%20draw%20and%20count%20sixes%0A%09drawnNoOfSix%20%3D%200%3B%0A%09for%20%28let%20diceThrows%20%3D%200%3B%20diceThrows%20%3C%20drawSize%3B%20diceThrows%20%3D%20diceThrows%20%2B%201%29%20%7B%0A%09%09if%20%28Math.floor%28Math.random%28%29%20%2a%20%286%29%20%2B%201%29%20%3D%3D%3D%206%29%20%7B%0A%09%09%09drawnNoOfSix%20%3D%20drawnNoOfSix%20%2B%201%3B%0A%09%09%7D%0A%09%7D%0A%0A%09%2F%2F%20calculate%20expectation%20value%20and%20difference%0A%09expectedNoOfSix%20%3D%20round%28drawSize%20%2F%206%29%3B%0A%09difference%20%3D%20Math.abs%28%28expectedNoOfSix%20-%20drawnNoOfSix%29%20%2F%20expectedNoOfSix%20%2a%20100%29.toFixed%283%29%20%2B%20%22%20%25%22%3B%0A%7D%0A%0A%2F%2F%0A%2F%2F%20Reset%20results%20and%20update%20draw%20size%0A%2F%2F%0Afunction%20resetResults%28%29%20%7B%0A%20%20%20%20%2F%2F%20reset%20results%0A%09drawnNoOfSix%20%3D%20%22%F0%9F%8E%B2%22%3B%0A%09expectedNoOfSix%20%3D%20%22%F0%9F%8E%B2%22%3B%0A%09difference%20%3D%20%22%F0%9F%8E%B2%22%3B%0A%20%20%20%20%0A%09%2F%2F%20update%20draw%20size%0A%09drawSize%20%3D%20round%2810%20%2a%2a%20slider.value%28%29%29%3B%0A%7D%0A%0A%0A%0A%2F%2F%20%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%0A%2F%2F%20MAIN%20PROGRAM%0A%2F%2F%20%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%2a%0A%0A%2F%2F%0A%2F%2F%20p5.js%20setup%28%29%0A%2F%2F%0Afunction%20setup%28%29%20%7B%0A%09%2F%2F%20default%20values%0A%09drawSize%20%3D%20100%3B%0A%09drawnNoOfSix%20%3D%20%22%F0%9F%8E%B2%22%3B%0A%09expectedNoOfSix%20%3D%20%22%F0%9F%8E%B2%22%3B%0A%09difference%20%3D%20%22%F0%9F%8E%B2%22%3B%0A%0A%09%2F%2F%20create%20canvas%20%0A%09createCanvas%28400%2C%20200%29%3B%0A%0A%09%2F%2F%20set%20text%20properties%0A%09textAlign%28LEFT%2C%20CENTER%29%3B%0A%0A%09%2F%2F%20create%20button%0A%09button%20%3D%20createButton%28%22W%C3%BCrfle%21%22%29%3B%0A%09button.size%2880%2C%2030%29%3B%0A%09button.position%2810%2C%2050%29%3B%0A%09button.style%28%22font-size%22%2C%20%2220px%22%29%3B%0A%09%2F%2F%20add%20button%20functionality%0A%09button.mouseClicked%28calulateEverything%29%3B%0A%0A%09%2F%2F%20create%20Slider%0A%09slider%20%3D%20createSlider%282%2C%206%2C%202%2C%200.001%29%3B%0A%09slider.position%28100%2C%2050%29%3B%20%2F%2F%20x%20and%20y%0A%09slider.size%28290%2C%2030%29%3B%20%2F%2F%20width%20and%20height%0A%09%2F%2F%20add%20slider%20functionality%0A%09slider.input%28resetResults%29%3B%0A%7D%0A%0A%0A%2F%2F%0A%2F%2F%20p5.js%20draw%28%29%0A%2F%2F%0Afunction%20draw%28%29%20%7B%0A%09%2F%2F%20clear%20everything%0A%09background%28%22white%22%29%3B%0A%0A%09%2F%2F%20create%20title%0A%09strokeWeight%280%29%3B%0A%09fill%28%22black%22%29%3B%0A%09textSize%2824%29%0A%09text%28%22%F0%9F%8E%B2%20%20Je%20mehr%20desto%20besser%22%2C%2010%2C%2015%29%3B%0A%0A%09%2F%2F%20print%20results%0A%09textSize%2820%29%3B%0A%09strokeWeight%280%29%3B%0A%09fill%28%22black%22%29%3B%0A%09text%28%22Anzahl%20W%C3%BCrfe%22%2C%2010%2C%20110%29%3B%0A%09text%28drawSize%2C%20300%2C%20110%29%3B%0A%09fill%28%22green%22%29%3B%0A%09text%28%22Erwartete%20Anzahl%20Sechsen%22%2C%2010%2C%20135%29%3B%0A%09text%28expectedNoOfSix%2C%20300%2C%20135%29%3B%0A%09fill%28%22blue%22%29%3B%0A%09text%28%22Gew%C3%BCrfelte%20Anzahl%20Sechsen%22%2C%2010%2C%20160%29%3B%0A%09text%28drawnNoOfSix%2C%20300%2C%20160%29%3B%0A%09fill%28%22red%22%29%3B%0A%09text%28%22Abweichung%20in%20Prozent%22%2C%2010%2C%20185%29%3B%0A%09text%28difference%2C%20300%2C%20185%29%3B%0A%7D&css=&html=%3Cscript%20src%3D%22https%3A%2F%2Fapp.exorciser.ch%2Flib%2Fp5.js%22%3E%3C%2Fscript%3E&height=360px#Erwartungswert}}
 ++++Unsere Antwort| Der wahre Wert ist die ''Erwartete Anzahl Sechsen'' (das Pendant dazu ist der wahre Fehlerwert von $e^♡ = J(w^♡)$ ).\\ Die ''Gewürfelte Anzahl Sechsen'' ist eine Näherung davon (das Pendant dazu ist der mit den verfügbaren Daten berechnete Fehlerwert $e^♡ = J(w^♡)$ ).\\ Je öfters gewürfelt wird, desto besser ist die Näherung der ''Erwarteten Anzahl Sechsen'' (je mehr repräsentative Daten verwendet werden, desto besser ist die Näherung des wahren Fehlerwerts von $e^♡ = J(w^♡)$ ).
 ++++

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