SOCR EduMaterials AnalysisActivities MLR
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== [[SOCR_EduMaterials_AnalysesActivities | SOCR Analysis]] Example on Multiple Linear Regression == | == [[SOCR_EduMaterials_AnalysesActivities | SOCR Analysis]] Example on Multiple Linear Regression == | ||
| - | === This SOCR Activity demonstrates the utilization of the SOCR Analyses package for statistical Computing. In particular, it shows how to use Multiple Linear Regression. === | + | === This SOCR Activity demonstrates the utilization of the SOCR Analyses package for statistical Computing. In particular, it shows how to use Multiple Linear Regression and how to read the output results. === |
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| + | ==Multiple Linear Regression Background== | ||
| + | [http://en.wikipedia.org/wiki/Multiple_linear_regression Multiple Linear Regression] is a class of statistical analysis models and procedures, which takes one independent variable and one dependent and one or more variable, both sets being quantitative, and models the relationship between them. SOCR has another activity set for Simple Linear Regression, which only allows on independent variable in the input. However, SOCR Multiple Linear Regression allows one or more independent variables. In the linear model, the error is assumed to follow a standard normal distribution. | ||
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| + | The goal of the Multiple Linear Regression computing procedure is to estimate all of the coefficients based on the data. Least Squares Fitting is used. | ||
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| + | In this activity, the students can learn about: | ||
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| + | * Reading results of Simple Linear Regression; | ||
| + | * Making interpretation of the coefficients; | ||
| + | * Observing and interpreting various data and resulting plots | ||
| + | ** Scatter plots of the dependent vs. independent variables | ||
| + | ** Diagnostic plots such as the Residual on Fit plot | ||
| + | ** Normal QQ plot, etc. | ||
Revision as of 04:18, 5 August 2007
SOCR Analysis Example on Multiple Linear Regression
This SOCR Activity demonstrates the utilization of the SOCR Analyses package for statistical Computing. In particular, it shows how to use Multiple Linear Regression and how to read the output results.
Multiple Linear Regression Background
Multiple Linear Regression is a class of statistical analysis models and procedures, which takes one independent variable and one dependent and one or more variable, both sets being quantitative, and models the relationship between them. SOCR has another activity set for Simple Linear Regression, which only allows on independent variable in the input. However, SOCR Multiple Linear Regression allows one or more independent variables. In the linear model, the error is assumed to follow a standard normal distribution.
The goal of the Multiple Linear Regression computing procedure is to estimate all of the coefficients based on the data. Least Squares Fitting is used.
In this activity, the students can learn about:
- Reading results of Simple Linear Regression;
- Making interpretation of the coefficients;
- Observing and interpreting various data and resulting plots
- Scatter plots of the dependent vs. independent variables
- Diagnostic plots such as the Residual on Fit plot
- Normal QQ plot, etc.
