Lineare Regression
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Einbinden
Inhalt
- Lineare Regression
- Korrelation
- Residuen
- Ausreißer
- Daten
Beschreibung
Erstellen Sie einen Zufalls Punktwolke oder verwenden Sie Daten aus der realen Welt und versuchen Sie, eine Trendlinie hindurch zu zeichnen.
Erkunden Sie, wie einzelne Datenpunkte den Korrelationskoeffizient und die Trendlinie beeinflussen.
Lernziele
- Interpretieren Sie den Korrelationskoeffizient r, wenn Datenpunkte hinzugefügt/weggenommen/verschoben werden.
- Interpretieren Sie die Residuensumme bei der manuellen Anpassung einer Trendlinie.
- Interpretieren Sie die Residuensumme der Trendlinie, wenn Datenpunkte hinzugefügt/weggenommen/verschoben werden.
- Vergleichen Sie die Residuensumme zwischen einer manuell angepassten Trendlinie und der berechneten besten Regressionsgerade.
- Sagen Sie voraus, ob eine lineare Regression angemessen ist.
Standards Alignment
Common Core - Math
8.SP.A.1
Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.
8.SP.A.2
Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line.
8.SP.A.3
Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. For example, in a linear model for a biology experiment, interpret a slope of 1.5 cm/hr as meaning that an additional hour of sunlight each day is associated with an additional 1.5 cm in mature plant height.
HSS-ID.B.6
Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
HSS-ID.B.6a
Fit a function to the data; use functions fitted to data to solve problems in the context of the data. Use given functions or choose a function suggested by the context. Emphasize linear, quadratic, and exponential models.
HSS-ID.B.6b
Informally assess the fit of a function by plotting and analyzing residuals.
HSS-ID.B.6c
Fit a linear function for a scatter plot that suggests a linear association.
HSS-ID.C.8
Compute (using technology) and interpret the correlation coefficient of a linear fit.
Version 1.1.12
Dozenten Tipps
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Überblick über Simulations Kontrolle, Modell Vereinfachung und Einsichten in Denkweise der Studenten ( PDF ). |
Video Einstieg
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Aktivitäten, die von Dozenten eingereicht wurden
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Autoren | Niveau | Typ | Subject |
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| Preguntas de razonamiento para todas las simulaciones HTML5 |
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Diana López | S II Uni-Haupt S I Uni-Abschluss Uni-Vor GS |
HA Diskussion |
Chemie Astronomie Mathematik Physik |
| Alignment of PhET sims with NGSS |
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Trish Loeblein | S II | Sonst | Physik Chemie Biologie Geowissenschaften |
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| How do PhET simulations fit in my middle school program? |
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Sarah Borenstein | S I | Sonst | Biologie Geowissenschaften Chemie Physik |
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| CCSS Math Alignment with Sims |
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Amanda McGarry | S I S II GS |
Sonst | Mathematik | |
| MS and HS TEK to Sim Alignment | Elyse Zimmer | S II S I |
Sonst | Biologie Physik Chemie |
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| PhET Simulations Aligned for AP Physics C | Roberta Tanner | S II | Sonst | Physik | ||
| Understanding Line of best fit and Correlation Coefficient | Rebecca Battat | S II | Geführt | Mathematik | ||
| Data Detective | Kelly Findley, Mary Burr | S I | Geführt | Mathematik | ||
| Correlation vs Causation | Andy Braaten | Uni-Vor S II |
Prakt | Mathematik |
| Windows 7+ | Mac OS 10.10+ | iPad and iPad Mini with iOS | Chromebook with Chrome OS |
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Microsoft Edge and Internet Explorer 11, latest version of Firefox, latest version of Chrome.
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Safari 9+, latest version of Firefox, latest version of Chrome.
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Latest version of Safari
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Latest version of Chrome
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| Design Team | Externe Quellen | Dank an |
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