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Using the Coefficient of Determination "R"[superscript 2] to Test the Significance of Multiple Linear Regression
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Quinino, Roberto C.; Reis, Edna A.; Bessegato, Lupercio F. – Teaching Statistics: An International Journal for Teachers, 2013
This article proposes the use of the coefficient of determination as a statistic for hypothesis testing in multiple linear regression based on distributions acquired by beta sampling. (Contains 3 figures.)
Descriptors: Multiple Regression Analysis, Hypothesis Testing, Sampling, Statistical Distributions
Enhance-Synergism and Suppression Effects in Multiple Regression
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Lipovetsky, Stan; Conklin, W. Michael – International Journal of Mathematical Education in Science and Technology, 2004
Relations between pairwise correlations and the coefficient of multiple determination in regression analysis are considered. The conditions for the occurrence of enhance-synergism and suppression effects when multiple determination becomes bigger than the total of squared correlations of the dependent variable with the regressors are discussed. It…
Descriptors: Multiple Regression Analysis, Regression (Statistics), Mathematical Formulas, College Mathematics
Using Monte Carlo Techniques to Demonstrate the Meaning and Implications of Multicollinearity
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Vaughan, Timothy S.; Berry, Kelly E. – Journal of Statistics Education, 2005
This article presents an in-class Monte Carlo demonstration, designed to demonstrate to students the implications of multicollinearity in a multiple regression study. In the demonstration, students already familiar with multiple regression concepts are presented with a scenario in which the "true" relationship between the response and…
Descriptors: Predictor Variables, Computation, Lesson Plans, Statistics
Using Microcomputer Spreadsheet Programs To Teach Statistical Concepts.
Klass, Patricia Harrington – 1988
The study provides: (1) a rationale for using microcomputer spreadsheet programs as teaching tools in applied statistics courses; (2) examples of one spreadsheet template--Analysis of Variance; (3) corresponding workbook exercises for the ANOVA template; and (4) results and discussion of how the exercises are used in an introductory statistics…
Descriptors: College Mathematics, Computer Assisted Instruction, Computer Software, Computer Uses in Education