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250 Chapter 3 Exponential and Logarithmic Functions
Section 3.6
Nonlinear Models
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You should be able to use a graphing utility to find nonlinear models, including:
(a) Quadratic models
(b) Exponential models
(c) Power models
(d) Logarithmic models
(e) Logistic models
You should be able to use a scatter plot to determine which model is best.
You should be able to determine the sum of squared differences for a model.
Vocabulary Check
1. y ax b
2. quadratic 3. y ax b
4. sum, squared differences 5. y ab x , ae cx
1. Logarithmic model 2. Linear model 3. Quadratic model 4. Exponential model
5. Exponential model 6. Logistic model 7. Quadratic model 8. Linear model
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Logarithmic model
Linear model
Exponential model
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Exponential model
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Linear model
15. y 4.7521.2607 x 16. y 3.9641.4084 x
17. y 8.4630.7775 x
Coefficient of determination:
Coefficient of determination:
Coefficient of determination:
0.96773
0.99495
0.86639
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Logarithmic model
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