We apply a Wiener filter to the two-year COBE Differential Microwave R
adiometer (DMR) data. The resulting sky map has significantly reduced
noise levels compared to the raw data: the most prominent hot and cold
spots are significant at the 4 sigma level. Furthermore, the entire c
ovariance matrix of the errors in the filtered sky map is known, and i
t is therefore possible to make constrained realizations of the microw
ave sky with the correct a posteriori probability distribution. The fi
ltered DMR sky map is used to make predictions for the Tenerife experi
ment. Two prominent features are predicted in a region of the sky not
yet analyzed by the Tenerife group. The presence of these features is
a robust prediction of the standard cosmological paradigm; if these fe
atures are not observed, some of our fundamental assumptions must be i
ncorrect.