4.8 Fitting exponential models to data  (Page 6/12)

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Key concepts

• Exponential regression is used to model situations where growth begins slowly and then accelerates rapidly without bound, or where decay begins rapidly and then slows down to get closer and closer to zero.
• We use the command “ExpReg” on a graphing utility to fit function of the form $y=a{b}^x$ to a set of data points. See [link] .
• Logarithmic regression is used to model situations where growth or decay accelerates rapidly at first and then slows over time.
• We use the command “LnReg” on a graphing utility to fit a function of the form $y=a+b\ln \left(x\right)$ to a set of data points. See [link] .
• Logistic regression is used to model situations where growth accelerates rapidly at first and then steadily slows as the function approaches an upper limit.
• We use the command “Logistic” on a graphing utility to fit a function of the form $y=\frac{c}{1+a{e}^{-bx}}$ to a set of data points. See [link] .

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