Regresija najmanjih kvadrata

Regresija najmanjih kvadrata Screenshot  Preuzimanje (Download)  Ugradnja (Embed)
  • Linear Regression
  • Korelacija
  • Residuals

Sadržaj

  • Linear Regression
  • Korelacija
  • Residuals
  • Outlier
  • Data

Description

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.

Primjeri obrazovnih ciljeva

  • 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.
Version 1.1.18

Teacher Tips

Vodič za nastavnike (pdf) sadrži savjete kreirane оd strane PhET tima. ( PDF ).

Video Primer

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Teacher-Submitted Activities

Preguntas de razonamiento para todas las simulaciones HTML5 A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Ovu Aktivnost dizаjnirаo je PhET. Diana López Grad (Master)
HS (VŠ)
K-5 (OŠ)
UG-Intro (VSŠ)
MS (SŠ)
UG-Adv (VSŠ2)
Discuss
DZ
Astronomija
Hemija
Matematika
Fizika
Middle School Math Sim Alignment Ovu Aktivnost dizаjnirаo je PhET. Amanda McGarry MS (SŠ) Ostalo Matematika
Alignment of PhET sims with NGSS Ovu Aktivnost dizаjnirаo je PhET. Trish Loeblein HS (VŠ) Ostalo Fizika
Biologija
Nauka o Zemlji
Hemija
How do PhET simulations fit in my middle school program? Ovu Aktivnost dizаjnirаo je PhET. Sarah Borenstein MS (SŠ) Ostalo Hemija
Fizika
Nauka o Zemlji
Biologija
Mapping of PhET and IBDP Physics Jaya Ramchandani HS (VŠ) Ostalo Fizika
MS and HS TEK to Sim Alignment Elyse Zimmer HS (VŠ)
MS (SŠ)
Ostalo Biologija
Hemija
Fizika
PhET Simulations Aligned for AP Physics C Roberta Tanner HS (VŠ) Ostalo Fizika
Understanding Line of best fit and Correlation Coefficient Rebecca Battat HS (VŠ) Guided Matematika
Data Detective Kelly Findley, Mary Burr MS (SŠ) Guided Matematika
Correlation vs Causation Andy Braaten HS (VŠ)
UG-Intro (VSŠ)
Lab Matematika

Jezik Download or Run Tips
Arapski All العربية Download Run now انحدار المربعات الصغرى
Baskijski All Basque Download Run now Karratu minimoen erregresioa
Brazilski Portugalski All português (Brasil) Download Run now Regressão por Quadrados Mínimos
Češki All čeština Download Run now Regrese metodou nejmenších čtverců
Danski All Dansk Download Run now Mindste kvadraters regression
Engleski All English Download Run now Least-Squares Regression
Francuski All français Download Run now Régression des moindres carrés
Grčki All Ελληνικά Download Run now Παλινδρόμηση ελάχιστων τετραγώνων
Hebrejski All עברית Download Run now שיטת הריבועים הפחותים
Holandski All Nederlands Download Run now Kleinste kwadraten regressie
Irski All Gaeilge Download Run now Cúlchéimniú na nÍoschearnóg
Italijanski All italiano Download Run now Metodo dei minimi quadrati
Kanadski All Kannada Download Run now ಕನಿಷ್ಠ-ವರ್ಗಗಳ ಹಿಂಜರಿತ
Kazaški All Kazakh Download Run now Регрессия және ең кіші квадраттар әдісі
Kineski - Tradicionalni All 中文 (台灣) Download Run now Least-Squares Regression_最小平方法迴歸
Kineski - Uprošćen All 中文 (中国) Download Run now 一次线性函数的拟合
Korejski All 한국어 Download Run now 최소자승회귀
Letonski All Latviešu Download Run now Vismazāko kvadrātu metode
Mađarski All magyar Download Run now Legkisebb négyzetek módszere
Mongolski All Монгол (Монгол) Download Run now Хамгийн бага Квадратын Регресс
Njemački All Deutsch Download Run now Lineare Regression
Poljski All polski Download Run now Regresja (najmniejsze kwadraty)
Ruski All русский Download Run now Регрессия и метод наименьших квадратов
Španski All español Download Run now Regresión de mínimos cuadrados 
Španski (Meksiko) All español (México) Download Run now Regresión de mínimos cuadrados 
Španski (Peru) All español (Perú) Download Run now Regresión de Mínimos Cuadrados
Srpski All Српски Download Run now Регресија најмањих квадрата
Tamilski All Tamil Download Run now குறைந்த-வர்க்க சார்புக் கணிப்பு
Vijetnamski All Tiếng Việt Download Run now Hồi quy bình phương cực tiểu

The new HTML5 sims can run on iPads and Chromebooks, as well as PC, Mac, and Linux systems.

iPad:
iOS 11+ Safari
iPad compatible sims

Android:
Not officially supported. If you are using the HTML5 sims on Android, we recommend using the latest version of Google Chrome.

Chromebook:
Latest version of Google Chrome
The HTML5 and Flash PhET sims are supported on all Chromebooks.
Chromebook compatible sims

Windows Systems:
Microsoft Edge and Internet Explorer 11, latest version of Firefox, latest version of Google Chrome.

Macintosh Systems:
macOS 10.9.5+, Safari 9+, latest version of Chrome.

Linux Systems:
Not officially supported. Please contact phethelp@colorado.edu with troubleshooting issues.

Dizajn tim Nezavisne baze i biblioteke Hvala:
  • Amanda McGarry (lead)
  • Martin Veillette (developer)
  • Patricia Loeblein
  • Ariel Paul
  • Kathy Perkins
  • almond-0.2.9.js
  • easing-equations-r12
  • FileSaver-b8054a2.js
  • fontawesome-webfont-3.0.2.svg
  • jama-1.0.2
  • jquery-2.1.0.js
  • lodash-2.4.1.js
  • pegjs-0.7.0.js
  • seedrandom-2.4.2.js
  • text-2.0.12.js
  • Tween-r12.js