  The temperature and density profiles of the Joint European Torus are
parameterized using log-additive models in the control variables. Predictive
error criteria are used to determine which terms in the log-linear model to
include. The density and temperature profiles are normalised to their line
averages ($\bar{n}$ and $\bar{T}$). The normalised Ohmic density shape depends
primarily on the parameter $\bar{n}/B_t$, where $B_t$ is the toroidal magnetic
field. Both the Low-mode (L-mode) and edge localized mode-free (ELM-free) high
mode (H-mode) temperature profile shapes depend strongly on the type of heating
power, with ion cyclotron resonant heating producing a more peaked profile than
neutral beam injection. Given the heating type dependence, the L-mode
temperature shape is nearly independent of the other control variables. The
H-mode temperature shape broadens as the effective charge, $Z_{eff}$,
increases. The line average L-mode temperature scales as $B_t^{.96}$(Power per
particle)$^{.385}$. The L-mode normalized density shape depends primarily on
the ratio of line average density, $\bar{n}$, to the edge safety factor,
$q_{95}$. As $\bar{n}/q_{95}$ increases, the profile shape broadens. The
current, $I_p$, is the most important control variable for the normalized
H-mode density. As the current increases, the profile broadens and the gradient
at the edge sharpens. Increasing the heating power, especially the ion
cyclotron resonant heating, or decreasing the average density, peaks the H-mode
density profile slightly.
