Graph the Points and from Visual Inspection, Select the Model

question 39

Multiple Choice

Graph the points and from visual inspection, select the model that would best fit the data. Choose from $\begin{array} { l l } y = m x + b \text { (linear) } & y = a b ^ { x } \text { (exponential) } \\y = a + b \ln x \text { (logarithmic) } & y = \frac { c } { 1 + a e ^ { - b x } } \text { (logistic) }\end{array}$ Then use a graphing utility to find a function that fits the data. (Hint: For a logistic model, go to STAT, CALC,
Logistic.)
- $\begin{array}{c|c}x & y \\\hline 10 & 41.2 \\20 & 47.5 \\30 & 51.2 \\40 & 53.8 \\50 & 55.9 \\60 & 57.5\end{array}$

• A) \(y = 0.31 x + 40.3\)
• B) \(y = \frac { 138 } { 1 + 0.23 e ^ { - 0.09 x } }\)
• C) \(y = 40.8 ( 1.01 ) ^ { x }\)
• D) \(y = 20.2 + 9.11 \ln x\)

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Definitions:

Freud's Concept

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