Least-Squares Regression

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Least-Squares Regression Obrazovka  Stiahnuť  Kód na vloženie
  • Lineárna regresia
  • Korelácia
  • Odchýlky

Témy

  • Lineárna regresia
  • Korelácia
  • Odchýlky
  • Outlier
  • Hodnoty

Popis

Create your own scatter plot or use real-world data and try to fit a line to it! Explore how individual data points affect the correlation coefficient and best-fit line.

Ukážkové ciele vzdelávania

  • Interpret r (the correlation coefficient) as data points are added, moved, or removed.
  • Interpret the sum of the squared residuals while manually fitting a line.
  • Interpret the sum of the squared residuals of a best-fit line as a data point is added, moved, or removed.
  • Compare the sum of the squared residuals between a manually fitted line and the best-fit line.
  • Determine if a linear fit is appropriate.

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.
Verzia 1.1.20

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Video Primer

Prosím prihláste sa, pre sledovanie videa.

Teacher-Submitted Activities

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How do PhET simulations fit in my middle school program? This contribution was designed by PhET. Sarah Borenstein ZŠ-II Iné Chémia
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Middle School Math Sim Alignment This contribution was designed by PhET. Amanda McGarry ZŠ-II Iné Matematika
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) This contribution was designed by PhET. Diana López ZŠ-II
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PhET Simulations Aligned for AP Physics C Roberta Tanner Iné Fyzika
Understanding Line of best fit and Correlation Coefficient Rebecca Battat Guided Matematika
Data Detective Kelly Findley, Mary Burr ZŠ-II Guided Matematika
Correlation vs Causation Andy Braaten VŠ-zač
Lab Matematika

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