Prediction and Estimation: The Role of Explanatory Variables

  • Glen McPherson
Part of the Springer Texts in Statistics book series (STS)

Abstract

In mathematics and mathematically related disciplines, scientists speak of functional relations between variables. The statement y = 3 + x for all positive values of x is an example of a functional relation between variables x and y. Through this relation it is possible to establish the exact value of y for any value of x. For example, if x takes the value 3 then y takes the value 6. In the physical sciences, functional relations may be referred to as Laws. Students of physics would recognize the relation between pressure (P) and volume (V) of a gas, P = k/V or PV = k as Boyle’s Law. This relation establishes that the product of the pressure and volume of an ideal gas is constant.

Keywords

Explanatory Variable Simple Linear Regression Linear Regression Equation Regression Relation Variance Table 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • Glen McPherson
    • 1
  1. 1.Department of MathematicsThe University of TasmaniaHobartAustralia

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