# LaTeX2HTML 96.1 (Feb 5, 1996)
# Associate images original text with physical files.
$key = q/{displaymath}left[arrayccx_1'x_1;SPMamp;x_1'x_2x_2'x_1;SPMamp;x_2'x_2arrayright]left[arraychatbeta_1hatbeta_2arrayright]=left[arraycx_1'yx_2'yarrayright]{displaymath}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$Sigma${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$z_isimN(0,1)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{displaymath}Y^primeSigma^-1Y=Y^primeP^-1primeP^-1Y=Z^primeZ=sum_i=1^kz_i^2simchi^2(k).{displaymath}/;
$cached_env_img{$key} = ' 
';
$key = q/{displaymath}M_x_1=I-x_1(x_1'x_1)^-1x_1'{displaymath}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$ktimes1${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$i=1,ldots,k${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{displaymath}Sigma=XDX'{displaymath}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$v_1${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$v_2${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$x_1${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$v_3${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$x^2${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$Z=P^-1YsimN(0,I)${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$x_2${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$x^3${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{_inline}$x_3${_inline}/;
$cached_env_img{$key} = ' 
';
$key = q/{displaymath}D=left[arraycccclambda_1;SPMamp;0;SPMamp;cdots;SPMamp;00;SPMamp;lambda_2;SPMamp;cdots;SPMamp;0vdots;SPMamp;vdots;SPMamp;ddots;SPMamp;vdots0;SPMamp;0;SPMamp;cdots;SPMamp;lambda_Karrayright]{displaymath}/;
$cached_env_img{$key} = ' 
';
1;