A statistical analysis of the amplitudes of the thermal pressure and t
otal pressure of the solar wind and of several related cross correlati
ons between different compressive parameters has been performed with t
he plasma and magnetic field data obtained by Hellos 1 and 2 in their
primary missions. The statistical analysis is based on small-band aver
ages of the relevant spectra over the frequency range (2-5) x 10(-4) H
z, corresponding to hourly timescales. The analysis shows that the the
oretical values, given by the relation between the fluctuation of tota
l pressure and density for perpendicular fast magnetoacoustic waves, p
resent an upper limit for the observed amplitudes of the normalized to
tal pressure fluctuations. With decreasing ratio between the fluctuati
on amplitudes of the total pressure and the density, we found a system
atical decrease of the correlation coefficient between density and tot
al pressure and of the correlation coefficient between density and mag
netic field magnitude. Decreases of the correlation coefficients betwe
en temperature and density and between thermal and magnetic pressure a
re also found with decreasing ratio of the normalized amplitudes of th
e fluctuations of the thermal pressure and the temperature. For high-s
peed wind data the pattern of the data distribution in plots of one co
rrelation coefficient versus the other correlation coefficient skews s
ome systematical changes. Most of these results can be explained quali
tatively by a model based on a superposition of small-amplitude perpen
dicular fast magnetosonic waves and small-amplitude pressure-balanced
structures. We have found a class of data points which seem to represe
nt fluctuations dominated by fast magnetosonic waves. In many cases in
low-speed wind the correlations between density and total pressure an
d between temperature and density are both negative, while the correla
tion between temperature and magnetic magnitude is about zero. The nat
ure of this phenomenon has not yet been clearified. Some possible expl
anations are suggested. The applicability and relevance of the nearly
incompressible magnetohydrodynamics theory for the compressive fluctua
tions in the inner heliosphere are also discussed.