Statistics in Scientific Investigation pp 509-567 | Cite as

# Prediction and Estimation: The Role of Explanatory Variables

## 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## Preview

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