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º£Å¸ beta
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º£Å¸
º£Å¸´Â ÅõÀÚÀÚ»êÀÇ º¯µ¿¼º À§ÇèÀ»
½ÃÀ庯µ¿°úÀÇ »ó°ü°ü°è·Î ´Ü¼øȽÃŲ À§Çè ÃøÁ¤ÁöÇ¥
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º£Å¸ ±¸ÇÏ´Â ½Ä
½ÃÀå¿¡ ´ëÇÑ AÁ¾¸ñÀÇ º£Å¸¸¦ ±¸ÇÏ´Â ½Ä
Á¾¸ñº£Å¸ = (Á¾¸ñ¼öÀÍ·ü°ú ½ÃÀå¼öÀÍ·üÀÇ °øºÐ»ê) / ½ÃÀå¼öÀÍ·üÀÇ ºÐ»ê
Á¾¸ñ¼öÀÍ·ü = X
½ÃÀå¼öÀÍ·ü = Y
B(X) = COV(X,Y) / VAR(Y)
ºÐ»ê, Ç¥ÁØÆíÂ÷, °øºÐ»ê, »ó°ü°è¼ö, ȸ±ÍºÐ¼® µîÀÇ ÀÌÇØ°¡ ÇÊ¿ä
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´ëÇ©°ª, ºÐ»ê, Ç¥ÁØÆíÂ÷
´ëÇ©°ªÀ̶õ ÇÑ Áý´ÜÀÇ Áß°£ ¼öÁØÀ» ÀǹÌ
´ëÇ©°ªÀº Åë°è¿¡¼ÀÇ ±â´ë°ª°ú µ¿ÀǾî
´ëÇ©°ª¿¡¼ ¾ó¸¶³ª ¶³¾îÁ® ÀÖ´Â °¡¸¦ °¡¸®´Â °ÍÀÌ ºÐ»êµµ¶ó°í ÇÑ´Ù.
±× Áß °¡Àå ¸¹ÀÌ ¾²ÀÌ´Â °³³äÀÌ ºÐ»ê ¶Ç´Â Ç¥ÁØÆíÂ÷ÀÌ´Ù.
Ç¥ÁØÆíÂ÷´Â ºÐ»ê¿¡ ·çÆ®¸¦ ¾º¿î °ÍÀ¸·Î ºÐ»êÀ» Ç¥ÁØÈ ÇÑ °ÍÀÌ Ç¥ÁØÆíÂ÷ÀÌ´Ù.
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¿¹½Ã )
1,2,3,4,5 ¶ó´Â Áý´ÜÀÌ ÀÖ´Ù.
ÀÌ Áý´ÜÀÇ Æò±ÕÀº 3,
Áý´ÜÀÇ ºÐ»êµµ¸¦ ÃøÁ¤, »ê¼úÆò±ÕÀ» ³»º¸¸é
1-3 = -2
2-3 = -1
3-3 = 0
4-3 = 1
5-3 = 2
ÀÌ°ÍÀ» ´Ù ´õÇϸé 0ÀÌ´Ù.
_SLIDE_7_
±×·¡¼ »ç¿ëÇÑ ¹æ¹ýÀÌ °¢°¢ÀÇ °ªÀ» Á¦°öÇÏ¿© ºÎÈ£¸¦
¾ø¾Ö´Â ¹æ¹ýÀÌ´Ù.
(1-3)^2 = 4
(2-3)^2 = 1
¡¦(»ý·«)
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Y=Á¾¼Óº¯¼ö
X=µ¶¸³º¯¼ö
a=ÀýÆí(X¶ó´Â µ¶¸³º¯¼ö ¾øÀÌ Y°¡ °®´Â ÃÖ¼Ò°ª) =` ½ÃÀå¼öÀÍ·ü¿¡ °ü°è¾øÀÌ °®´Â Á¾¸ñ¼öÀÍ·üÀÇ Á¤µµ
b=±â¿ï±â=º£Å¸
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xÁ¾¸ñÀÇ º£Å¸¸¦ ±¸ÇÏ´Â ½Ä¿¡ Àû¿ëÇϸé
xÁ¾¸ñÀÇ º£Å¸=xÁ¾¸ñ°ú ½ÃÀåÀÇ °øºÐ»ê/½ÃÀåºÐ»ê
(x)=Cov(x,y)/Var(y)
(x)= r¥ò(A)¥ò(B) / ¥ò(B)¥ò(B)
(x)= r¥ò(A) / ¥ò(B)
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º£Å¸ÀÇ È°¿ë »ç·Ê
±â¾÷ º£Å¸È°¿ë ¿¹Á¦
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- »ï¼ºÁß°ø¾÷ÀÇ ±â´ë¼öÀÍ·ü°ú ½ÃÀå¼öÀÍ·ü(Á¾ÇÕÁÖ°¡Áö¼ö)
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1) »ï¼ºÁß°ø¾÷ÀÇ ±â´ë¼öÀÍ·ü°ú ½ÃÀå¼öÀÍ·üÀÇ Æò±Õ°ú ºÐ»ê
2)»ï¼ºÁß°ø¾÷ÀÇ ¼öÀÍ·ü°ú ½ÃÀå¼öÀÍ·ü°£ÀÇ °øºÐ»ê
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3) º£Å¸
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- »ó½Â±¹¸é°ú Ç϶ô±¹¸é¿¡¼ÀÇ °íº£Å¸¿Í Àúº£Å¸ ÆݵåÀÇ ÅõÀÚ¼º°ú
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