# Least-Squares Regression

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### Contidos

• Linear Regression
• Correlación
• 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.

### Obxectivos de Aprendizaxe

• 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 1.1.21

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Albanian All shqip Regresioni i katrorëve më të vegjël
Arabic All العربية انحدار المربعات الصغرى
Basque All Euskara Karratu minimoen erregresioa
Bosnian All Bosanski Regresija najmanjih kvadrata
Chinese (China) All 中文 (中国) 一次线性函数的拟合
Chinese (Taiwan) All 中文 (台灣) Least-Squares Regression_最小平方法迴歸
Czech All čeština Regrese metodou nejmenších čtverců
Danish All Dansk Mindste kvadraters regression
Dutch All Nederlands Kleinste kwadraten regressie
French All français Régression des moindres carrés
German All Deutsch Lineare Regression
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Hungarian All magyar Legkisebb négyzetek módszere
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Italian All italiano Metodo dei minimi quadrati
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Vietnamese All Tiếng Việt Hồi quy bình phương cực tiểu

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