ÌâÄ¿ÄÚÈÝ

13£®Ä³³ÇÊÐÀíÂÛÔ¤²â2020Äêµ½2024ÄêÈË¿Ú×ÜÊýÓëÄê·ÝµÄ¹ØÏµÈçϱíËùʾ
Äê·Ý202x£¨Ä꣩01234
ÈË¿ÚÊý y£¨Ê®Íò£©5781119
£¨¢ñ£©Çë¸ù¾ÝÉϱíÌṩµÄÊý¾Ý£¬ÓÃ×îС¶þ³Ë·¨Çó³öy¹ØÓÚxµÄÏßÐԻع鷽³Ì£»
£¨¢ò£©¾Ý´Ë¹À¼Æ2025Äê¸Ã³ÇÊÐÈË¿Ú×ÜÊý£®
²Î¿¼ÊýÖµ£º0¡Á5+1¡Á7+2¡Á8+3¡Á11+4¡Á19=132£¬02+12+22+32+42=30£¬
²Î¿¼¹«Ê½£ºÓÃ×îС¶þ³Ë·¨ÇóÏßÐԻع鷽³ÌϵÊý¹«Ê½ $\hat b=\frac{{\sum_{i=1}^n{{x_i}{y_i}-n\overline x\overline y}}}{{\sum_{i=1}^n{x_i^2-n{{\overline x}^2}}}}£¬\hat a=\overline y-\hat b\overline x$£®

·ÖÎö £¨¢ñ£©ÀûÓñíÖÐÊý¾Ý£¬¼ÆËã$\overline{x}$¡¢$\overline{y}$£¬Çó³ö»Ø¹éϵÊý£¬Ð´³ö»Ø¹é·½³Ì£»
£¨¢ò£©°Ñx=5´úÈëÏßÐԻع鷽³ÌÇó³ö$\stackrel{¡Ä}{y}$µÄÖµ¼´¿É£®

½â´ð ½â£º£¨¢ñ£©ÀûÓñíÖÐÊý¾Ý£¬¼ÆËã$\overline{x}$=$\frac{1}{5}$¡Á£¨0+1+2+3+4£©=2£¬
$\overline{y}$=$\frac{1}{5}$¡Á£¨5+7+8+11+19£©=10£¬
¼ÆËã»Ø¹éϵÊý$\hat b=\frac{{\sum_{i=1}^n{{x_i}{y_i}-n\overline x\overline y}}}{{\sum_{i=1}^n{x_i^2-n{{\overline x}^2}}}}$
=$\frac{0¡Á5+1¡Á7+¡­+4¡Á19-5¡Á2¡Á10}{{0}^{2}{+1}^{2}+¡­{+4}^{2}-5{¡Á2}^{2}}$
=$\frac{132-100}{30-20}$
=3.2£¬¡­£¨3·Ö£©
$\stackrel{¡Ä}{a}$=$\overline{y}$-$\stackrel{¡Ä}{b}$$\overline{x}$=10-3.2¡Á2=3.6£¬¡­£¨6·Ö£©
¹ÊÏßÐԻع鷽³ÌΪ$\stackrel{¡Ä}{y}$=3.2x+3.6£» ¡­£¨8·Ö£©
£¨¢ò£©¸ù¾Ý£¨¢ñ£©µÄ½á¹û£¬°Ñx=5´úÈëÏßÐԻع鷽³Ì$\stackrel{¡Ä}{y}$=3.2x+3.6£¬
¼ÆËã$\stackrel{¡Ä}{y}$=3.2¡Á5+3.6=19.6£»
ËùÒÔÔ¤²â2005Äê¸Ã³ÇÊÐÈË¿Ú×ÜÊýΪ196Íò£®  ¡­£¨12·Ö£©

µãÆÀ ±¾Ì⿼²éÁËÏßÐԻع鷽³ÌµÄÇó·¨ÓëÓ¦ÓÃÎÊÌ⣬ÊÇ»ù´¡Ì⣮

Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿

Î¥·¨ºÍ²»Á¼ÐÅÏ¢¾Ù±¨µç»°£º027-86699610 ¾Ù±¨ÓÊÏ䣺58377363@163.com

¾«Ó¢¼Ò½ÌÍø