# LaTeX2HTML 96.1 (Feb 5, 1996)
# Associate images original text with physical files.

$key = q/{_inline}$Y^primeSigma^-1Ysimchi^2left(kright)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=137 HEIGHT=32 ALIGN=MIDDLE ALT="tex2html_wrap_inline87" SRC="img5.gif"  > '; 
$key = q/{displaymath}y=beta_1x_1+beta_2x_2+epsilon{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=329 HEIGHT=17 ALIGN=BOTTOM ALT="displaymath71" SRC="img13.gif"  > '; 
$key = q/{_inline}$hatbeta=(hatbeta_1,hatbeta_2)'${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=99 HEIGHT=37 ALIGN=MIDDLE ALT="tex2html_wrap_inline107" SRC="img12.gif"  > '; 
$key = q/{_inline}$P(x_2|x_1)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=68 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline117" SRC="img20.gif"  > '; 
$key = q/{_inline}$overlinebeta_1${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=18 HEIGHT=33 ALIGN=MIDDLE ALT="tex2html_wrap_inline111" SRC="img15.gif"  > '; 
$key = q/{_inline}$Sigma${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=11 HEIGHT=13 ALIGN=BOTTOM ALT="tex2html_wrap_inline83" SRC="img3.gif"  > '; 
$key = q/{_inline}$overlinebeta_2${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=18 HEIGHT=33 ALIGN=MIDDLE ALT="tex2html_wrap_inline113" SRC="img17.gif"  > '; 
$key = q/{displaymath}y=beta_1x_1+mu{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=302 HEIGHT=17 ALIGN=BOTTOM ALT="displaymath72" SRC="img16.gif"  > '; 
$key = q/{_inline}$YsimNleft(0,Sigmaright)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=104 HEIGHT=29 ALIGN=MIDDLE ALT="tex2html_wrap_inline77" SRC="img1.gif"  > '; 
$key = q/{_inline}$ktimesk${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=42 HEIGHT=24 ALIGN=MIDDLE ALT="tex2html_wrap_inline85" SRC="img4.gif"  > '; 
$key = q/{_inline}$overliney=x_1overlinebeta_1+(x_2-P(x_2|x_1)overlinebeta_2${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=233 HEIGHT=33 ALIGN=MIDDLE ALT="tex2html_wrap_inline133" SRC="img24.gif"  > '; 
$key = q/{_inline}$E(Y|X)=Xbeta^*${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=126 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline137" SRC="img26.gif"  > '; 
$key = q/{_inline}$P(y|x_1)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=59 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline115" SRC="img19.gif"  > '; 
$key = q/{_inline}$ktimes1${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=41 HEIGHT=24 ALIGN=MIDDLE ALT="tex2html_wrap_inline81" SRC="img2.gif"  > '; 
$key = q/{_inline}$L^2([-1,1])${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=84 HEIGHT=32 ALIGN=MIDDLE ALT="tex2html_wrap_inline97" SRC="img9.gif"  > '; 
$key = q/{_inline}$overlinebeta=(overlinebeta_1,overlinebeta_2)'${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=101 HEIGHT=33 ALIGN=MIDDLE ALT="tex2html_wrap_inline109" SRC="img14.gif"  > '; 
$key = q/{_inline}$haty=x_1hatbeta_1+x_2hatbeta_2${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=128 HEIGHT=37 ALIGN=MIDDLE ALT="tex2html_wrap_inline131" SRC="img23.gif"  > '; 
$key = q/{_inline}$(Y,X)simN(0,Sigma)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=136 HEIGHT=29 ALIGN=MIDDLE ALT="tex2html_wrap_inline135" SRC="img25.gif"  > '; 
$key = q/{displaymath}y-P(y|x_1)=(x_2-P(x_2|x_1))beta_2+eta{displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=398 HEIGHT=20 ALIGN=BOTTOM ALT="displaymath73" SRC="img18.gif"  > '; 
$key = q/{_inline}$x^2${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=17 HEIGHT=16 ALIGN=BOTTOM ALT="tex2html_wrap_inline103" SRC="img10.gif"  > '; 
$key = q/{_inline}$P_0(x)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=42 HEIGHT=29 ALIGN=MIDDLE ALT="tex2html_wrap_inline91" SRC="img6.gif"  > '; 
$key = q/{_inline}$x_1${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=17 HEIGHT=18 ALIGN=MIDDLE ALT="tex2html_wrap_inline123" SRC="img22.gif"  > '; 
$key = q/{_inline}$x^3${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=17 HEIGHT=16 ALIGN=BOTTOM ALT="tex2html_wrap_inline105" SRC="img11.gif"  > '; 
$key = q/{_inline}$P_1(x)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=42 HEIGHT=29 ALIGN=MIDDLE ALT="tex2html_wrap_inline93" SRC="img7.gif"  > '; 
$key = q/{_inline}$x_2${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=17 HEIGHT=18 ALIGN=MIDDLE ALT="tex2html_wrap_inline121" SRC="img21.gif"  > '; 
$key = q/{_inline}$beta^*=(E(X'X))^-1E(X'Y)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=209 HEIGHT=32 ALIGN=MIDDLE ALT="tex2html_wrap_inline139" SRC="img27.gif"  > '; 
$key = q/{_inline}$P_2(x)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=42 HEIGHT=29 ALIGN=MIDDLE ALT="tex2html_wrap_inline95" SRC="img8.gif"  > '; 

1;

