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Adding a Parameter Increases the Variance of an Estimated Regression Function
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Withers, Christopher S.; Nadarajah, Saralees – International Journal of Mathematical Education in Science and Technology, 2011
The linear regression model is one of the most popular models in statistics. It is also one of the simplest models in statistics. It has received applications in almost every area of science, engineering and medicine. In this article, the authors show that adding a predictor to a linear model increases the variance of the estimated regression…
Descriptors: Regression (Statistics), Computation, Models, Prediction
On Fences, Forms and Mathematical Modeling
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Lege, Jerry – Mathematics Teacher, 2009
The white picket fence is an integral component of the iconic American townscape. But, for mathematics students, it can be a mathematical challenge. Picket fences in a variety of styles serve as excellent sources to model constant, step, absolute value, and sinusoidal functions. "Principles and Standards for School Mathematics" (NCTM 2000)…
Descriptors: Mathematical Models, Cognitive Processes, Mathematics Instruction, Mathematics Education