Model the Data Using an Exponential Function $$f ( x ) = A b ^ { x }$$

question 32

Essay

Model the data using an exponential function $$f ( x ) = A b ^ { x }$$ . $$\begin{array} { | l | l | l | l | } \hline \boldsymbol { x } & 0 & 1 & 2 \\\hline f ( x ) & 300 & 75 & 18.75 \\\hline\end{array}$$

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Definitions:

Experimental Group

A group in a scientific study that receives the treatment or intervention being tested, allowing researchers to measure the effect of the treatment.

Control Group

In experimental research, the group of subjects not exposed to the treatment, used as a benchmark to measure the effect of the treatment group.

Randomization Technique

A method used in experiments to randomly assign subjects to different groups to reduce bias and ensure the groups are comparable.

Artificial Situation

An environment or circumstance that has been created or manipulated by external forces rather than occurring naturally.