Choose the Function That Might Be Used as a Model $f ( x ) = \frac { a } { 1 + b e ^ { - k x } }$

question 31

Multiple Choice

Choose the function that might be used as a model for the data in the scatter plot.
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• A) Logistic, \(f ( x ) = \frac { a } { 1 + b e ^ { - k x } }\)
• B) Exponential, \(\mathrm { f } ( \mathrm { x } ) = a b ^ { - \mathrm { x } }\) or \(\mathrm { f } ( \mathrm { x } ) = \mathrm { P } _ { 0 } \mathrm { e } ^ { - \mathrm { kx } } , \mathrm { k } > 0\)
• C) Quadratic, \(f ( x ) = a x ^ { 2 } + b x + c\)
• D) Polynomial, not quadratic

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Definitions:

Skewed

A term describing a distribution that is asymmetric, leaning towards one side, either to the left or right, indicating a deviation from the normal distribution.

Sample Mean

The average value calculated from a sample, used as an estimate of the population mean.

Extroverted

A personality characteristic marked by the ability to be social, engage in conversation easily, show confidence, and exhibit a strong capacity for expressing emotions.

Introverted

Describing a person predominantly concerned with their own thoughts and feelings rather than with external things.