Algebra level symbolic math

  • This article describes a method to calculate the least squares line algebraically. First, the author uses a numeric example, which uses calculus, then describes a simpler algebraic method.
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  • The following exercise can illustrate the problem of bias in estimators to students in statistics courses. In some advanced courses an alternative estimator may be presented and properties of this estimator may be investigated via Monte Carlo studies.
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  • This article provides the example of student form orders to demonstrate the unreliability of combining data from two different distributions (or subjects).
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  • This paper presents three graphs that are used in teaching students majoring in business and the humanities. These graphs show the influence of confounding, the meaning of statistical significance, and the influence of confounding on statistical significance.
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  • This paper presents rules for determining whether an index variable in such a table is part or whole depending on whether the associated margin value is an average, a sum or a 100% sum. Tables with missing margin values -- date-indexed tables, half tables and control tables -- are analyzed. Recommendations are made to improve reader understanding of any table involving rates or percentages.
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  • This article discusses teaching causality without being discipline specific. It explains the causal differences between description, prediction and explanation.
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  • This survey assesses statistical literacy. The survey focuses on the general use of informal statistics in everyday situations: reading and interpreting tables and graphs involving rates and percentages.
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  • This Java Applet of a scatterplot allows you to enter data, move data points, define the range of values, and view graph value information.
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  • This is a three day lesson plan. The first day is an introduction to concepts in probability. The second day is an application of probability in the field of genetics. The third day is a time for students to expand their understanding of probability and genetics via short research project. The site includes resources, advice, and notes to the teacher. Probability topics include: law of large numbers, simple and compound events, sample size, sample space, and more.
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  • This website provides the URL of a Java applet and steps for using it. Here, students can manipulate the size of the circle and the rectangle to explore the probability that a point in the rectangle is also in the circle.
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