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Section 3.6 Nonlinear Models 251
18. y 87.2620.9438 x 19. y 2.083 1.257 ln x
20. y 9.027 2.537 ln x
Coefficient of determination:
Coefficient of determination:
Coefficient of determination:
0.85030
0.98672
0.96884
125
6
16
−4
0
12
0
0
9
0
8
12
21. y 9.826 4.097 ln x 22. y 20.076 5.027 ln x
23. y 1.985x 0.760
Coefficient of determination: Coefficient of determination:
Coefficient of determination:
0.93704
0.99977
0.99686
11
15
14
0
0
10
0
0
18
0
0
12
24. y 3.397x 1.650 25. y 16.103x 3.174
26. y 525.428x 0.226
Coefficient of determination:
Coefficient of determination:
Coefficient of determination:
0.99788
0.88161
0.99549
150
11
500
0
0
12
0
0
5
0
300
12
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27. (a) Quadratic model: R 0.031t 2 1.13t 97.1
(b)
Exponential model: R 94.4351.0174 t
Power model: R 77.837t 0.1918
200
0 36
0
(c) The exponential model fits best. Answers will vary.
(d) For 2008, t 38 and R 181.9 million.
For 2012, t 42 and R 194.9 million.
Answers will vary.
200
0 36
0
200
0 36
0