AMSER
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AMSER (the Applied Math and Science Education Repository) provides educational resources and services built specifically for use by those in Community and Technical Colleges but free for anyone to use.en-usealmasy@scout.wisc.eduealmasy@scout.wisc.eduWed, 16 Apr 2014 00:00:00 -0500Thu, 10 Apr 2014 00:00:00 -0500http://www.rssboard.org/rss-2-0-1Least Squares
https://amser.org//index.php?P=FullRecord&ResourceId=13794
https://amser.org//index.php?P=FullRecord&ResourceId=13794Created by David Smith for the Connected Curriculum Project, the purpose of this module is to develop the concept of fitting a least squares line from the concept of orthogonal projection of a vector on a subspace. This is part of a larger collection of modules hosted by Duke University.Wed, 23 Jun 2010 03:00:02 -0500Curve Fitting
https://amser.org//index.php?P=FullRecord&ResourceId=13795
https://amser.org//index.php?P=FullRecord&ResourceId=13795Created by John Michel for the Connected Curriculum Project, the purpose of this module is to extend the concept of fitting a least squares line to allow fitting more complex functions, including those in which the model parameters do not appear linearly. This is part of a larger collection of learning modules hosted by Duke University.Tue, 8 Jun 2010 03:00:02 -0500Statistical Applets: Two Variable Statistical Calculator
https://amser.org//index.php?P=FullRecord&ResourceId=9209
https://amser.org//index.php?P=FullRecord&ResourceId=9209Created by Duckworth, McCabe, Moore and Sclove for W.H. Freeman and Co., this applet calculates correlation and regression information and displays graphs for a number of data sets from the text "Practice of Business Statistics." Users can also enter their own data. Even though brief, this interactive resource is still valuable for an introductory statistics course.Wed, 4 Mar 2009 03:00:01 -0600Understanding the Least-Squares Regression Line
https://amser.org//index.php?P=FullRecord&ResourceId=8483
https://amser.org//index.php?P=FullRecord&ResourceId=8483This applet, created by the National Council of Teachers of Mathematics, allows students to explore three methods for measuring "goodness of fit" of a linear model. Users can manipulate both the data and the regression line to see changes in the square error, the absolute error, and the shortest distance from the data point to the regression line. The page outlines different tasks that students to strive to learn. It then asks questions that facilitate discussion based upon these concepts.Tue, 3 Mar 2009 03:00:01 -0600How Random is Random?
https://amser.org//index.php?P=FullRecord&ResourceId=8531
https://amser.org//index.php?P=FullRecord&ResourceId=8531Created by Annenberg Media, this site is a tutorial that takes students through a mayoral election process while discussing the concept of randomness. Topics include margin of error and confidence levels. This is a fairly basic lesson, but it does provide a good example of applied statistical theory. Aside from simply addressing the statistics behind the process, the resource also discusses the actual physical process of taking political polls.Mon, 2 Mar 2009 03:00:02 -0600Statistical Applets: Correlation and Regression
https://amser.org//index.php?P=FullRecord&ResourceId=8517
https://amser.org//index.php?P=FullRecord&ResourceId=8517Created for W.H. Freeman and Co., this applet is designed to help students see correlations in data and see how outliers can affect the correlation and least-squares line. Users can input their own data points and then try to fit a line to the data and see how the sum of squares changed. The user can then also see what the lest-square line is for that set of data.Tue, 24 Feb 2009 03:00:02 -0600Least Squares Regression
https://amser.org//index.php?P=FullRecord&ResourceId=8550
https://amser.org//index.php?P=FullRecord&ResourceId=8550Created by Illuminations: Resources for Teaching Mathematics, this unit plan contains nine lessons about interpreting the slope and y-intercept of least squares regression lines in the context of real-life data. The applet included allows students to plot the data and calculate the correlation coefficient and the equation of the regression line. Students will view the data in tabular, graphic, and algebraic form and will be able to discuss and display their work. This is a wonderful collection of interactive statistical lessons. They can easily be translated into classroom activities.Thu, 19 Feb 2009 03:00:02 -0600Star Library: What is the Significance of a Kiss?
https://amser.org//index.php?P=FullRecord&ResourceId=8552
https://amser.org//index.php?P=FullRecord&ResourceId=8552This article describes an interactive activity illustrating general properties of hypothesis testing and hypothesis tests for proportions. Students generate, collect, and analyze data. Through simulation, students explore hypothesis testing concepts. Concepts illustrated are: interpretation of p-values, type I error rate, type II error rate, power, and the relationship between type I and type II error rates and power. This activity is appropriate for use in an introductory college or high school statistics course.Tue, 17 Feb 2009 03:00:02 -0600Modeling the Reliability of Ball Bearings
https://amser.org//index.php?P=FullRecord&ResourceId=8574
https://amser.org//index.php?P=FullRecord&ResourceId=8574The data, created by Chrys Caroni of the National Technical University of Athens, presented in this article refer to the reliability of ball bearings in manufacturing. The data was originally published by "Lieblein and Zelen" and contains 210 observations. Rather than exploring the data to obtain a multiple linear regression solution, a theoretically derived equation is given and the data is used to test it. Some of the key concepts includes: failure times, percentiles and weighted least squares.Wed, 11 Feb 2009 03:00:02 -0600Linear Regression and Best Fit
https://amser.org//index.php?P=FullRecord&ResourceId=8743
https://amser.org//index.php?P=FullRecord&ResourceId=8743This lesson, created by Amar Patel of the University of Illinois - Urbana-Champaign, introduces simple linear regression with several Excel spreadsheet examples such as temperature versus cricket chirps, height versus shoe size, and laziness versus amount of television watched. These activities require class participation. This would be a great interactive lesson for a classroom studying statistics.Thu, 22 Jan 2009 03:00:02 -0600Least Squares
https://amser.org//index.php?P=FullRecord&ResourceId=8770
https://amser.org//index.php?P=FullRecord&ResourceId=8770This applet allows students to manipulate a regression line to obtain the least squares regression line. The square distance from each point to the line and the sum of squares is shown by different colored squares. This site provides additional links to items such as a gallery of additional resources and also a vocabulary for students to learn the grammar of the discipline. This is a nice resource for the study of statistics, and more specifically, the least squares method of statistical testing.Fri, 16 Jan 2009 03:00:03 -0600Correlation and Regression
https://amser.org//index.php?P=FullRecord&ResourceId=8909
https://amser.org//index.php?P=FullRecord&ResourceId=8909This applet allows the user to explore basic principles of correlation and regression. The user can manipulate points on a scatterplot. The user can then place a regression line on the plot and evaluate the resulting sums of squares error. An interesting feature of this applet is that it allows viewing of the sum of squares error as squares.Wed, 24 Dec 2008 03:00:01 -0600One-Way ANOVA
https://amser.org//index.php?P=FullRecord&ResourceId=8988
https://amser.org//index.php?P=FullRecord&ResourceId=8988This applet demonstrates the partitioning of sums of squares in analysis of variance (ANOVA). It includes some sample values and allows the user to make adjustments, which then shows the new values in the ANOVA table. Also contains an exercise set. Overall, this is a nice resource for any mathematics classroom.Wed, 24 Dec 2008 03:00:01 -0600ChemLab
https://amser.org//index.php?P=FullRecord&ResourceId=3141
https://amser.org//index.php?P=FullRecord&ResourceId=3141Dartmouth College's introductory chemistry course program has a Web site that is worth a look by students and professors of chemistry at other institutions. Visitors to the site can ignore the exam and grading sections and head straight to the Java applets. With these nine, nifty mini-tutorials, students can create a custom periodic table, play fill-in-the-blank periodic table puzzles, run virtual labs on anions and cations, construct a visible spectrum, practice least-squares regressions, and much more. Visitors to the site will also find the "Chemistry and Background" portions of the online laboratory manuals (filed under Chem 3/5 and Chem 6) useful and also should review the section on how and why to keep a chemistry lab notebook.Thu, 3 May 2007 03:00:02 -0500