y = 53452634Xexp(0.0518X(x-1975)) x= years   deep analysis why expoetinal model would be more valid than linear for this data and what are some limitatios of it/

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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 y = 53452634Xexp(0.0518X(x-1975))

x= years 

 deep analysis why expoetinal model would be more valid than linear for this data and what are some limitatios of it/

 

Year Global plastic production (tonnes-year
1975
46,000,000
1978
64,000,000
1981
72,000,000
1984
86,000,000
1987
104,000,000
1990
120,000,000
1993
137,000,000
1996
168,000,000
1999
202,000,000
2002
231,000,000
2005
263,000,000
2008
281,000,000
2011
325,000,000
2014
367,000,000
Transcribed Image Text:Year Global plastic production (tonnes-year 1975 46,000,000 1978 64,000,000 1981 72,000,000 1984 86,000,000 1987 104,000,000 1990 120,000,000 1993 137,000,000 1996 168,000,000 1999 202,000,000 2002 231,000,000 2005 263,000,000 2008 281,000,000 2011 325,000,000 2014 367,000,000
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