Find the Logistic Function That Satisfies the Given Conditions $= 15$

question 178

Multiple Choice

Find the logistic function that satisfies the given conditions.
-Initial value $= 15$ , limit to growth $= 60$ , passing through $( 1,24 )$

• A) \(f ( x ) = \frac { 24 } { 1 + 2 ( 1 / 3 ) ^ { x } }\)
• B) \(f ( x ) = \frac { 60 } { 1 + 3 ( 1 / 2 ) ^ { x } }\)
• C) \(f ( x ) = \frac { 15 } { 1 + 3 ( 1 / 2 ) ^ { x } }\)
• D) \(f ( x ) = \frac { 60 } { 1 + 2 ( 1 / 3 ) ^ { x } }\)

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Definitions:

Matched Pairs Design

A research design in experimental psychology where participants are paired based on specific characteristics, with one member of each pair assigned to the experimental group and the other to the control group.

Order Effects

Changes in participants' responses due to the order in which experimental conditions are presented rather than the experimental conditions themselves.

Matching Pairs

A technique in research design where participants are paired based on certain characteristics, ensuring that each pair is similar except for the independent variable.

Matched Pairs

A research design in which subjects are paired based on shared characteristics or behaviors, ensuring that each pair is as similar as possible except for the variable under investigation.