Question

ÎÒ¹ú1950¡ª1959ÄêÈË¿ÚÊý¾Ý×ÊÁÏÈçϱí:

Äê·Ý	1950	1951	1952	1953	1954
ʱ¼ät	0	1	2	3	4
ÈËÊýy/ÍòÈË	55 196	56 300	57 482	58 796	60 266
Äê·Ý	1955	1956	1957	1958	1959
ʱ¼ät	5	6	7	8	9
ÈËÊýy/ÍòÈË	61 456	62 828	64 563	65 994	67 207

ÈôyÓëtÖ®¼äÂú×ãy=ae^bt¹Øϵ£¬Çóº¯Êý½âÎöʽ;Èô°´´ËÔö³¤Ç÷ÊƹÀ¼Æ´óÔ¼ÔÚÄÄÒ»ÄêÎÒ¹úÈË¿Ú´ïµ½14ÒÚ£¿

Answer 1

½â£ºÉè¦Ì=lny£¬c=lna,Ôò¦Ì=c+bt.

t	0	1	2	3
¦Ì	10.918 6	10.938 4	10.959 2	10.981 8
t	4	5	6	7
¦Ì	11.006 5	11.026 1	11.048 2	11.075 4
t	8	9
¦Ì	11.097 3	11.115 5

=45,=110.167 0,=285,¦Ì_i=497.593 6,=4.5,=11.016 7,

b===0.0223,

c=-b=11.016 7-0.022 3¡Á4.5=10.916 4,

¡à¦Ì=10.916 4+0.022 3t. y=e^{10.916 4+0.022 3t}.

Áîy=140 000Íò£¬

Ôò10.916 4+0.022 3t=ln140 000=11.849 4£¬

¡àt=41.838 5.

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