Data Fitting

Why

Often the precepts and postcepts are elements of $d$-dimensional and $m$-dimensional space, respectively. Moreover, we often believe in the existence of a functional prelation between these two spaces.

Definition

We think a vector in $d$-dimensional space and a vector in $m$-dimensional space are approximately related by a function. We call the argument to the function the independent variable and we call the result of the function the dependent variable. If $m = 1$, the dependent variable is a single real number.