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Graph the Points and from Visual Inspection, Select the Model

question 28

Multiple Choice

Graph the points and from visual inspection, select the model that would best fit the data. Choose from y=mx+b (linear)  y=abx (exponential)  y=a+blnx (logarithmic)  y=c1+aebx (logistic)  \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.)
- xy44.455.2910.51425.12071.324143.1\begin{array} { c | c } x & y \\\hline 4 & 4.4 \\5 & 5.2 \\9 & 10.5 \\14 & 25.1 \\20 & 71.3 \\24 & 143.1\end{array}

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Definitions:

Hallucinations

Perceptions in the absence of external stimuli that have qualities of real perception, often seen in certain mental disorders or induced by drugs.

Schizophrenia

A chronic brain disorder characterized by hallucinations, delusions, and extremely disordered thinking and behavior.

Dopamine Overactivity

A condition in which there is an excess of dopamine activity in the brain, associated with symptoms of certain psychiatric disorders.

Cerebral Tissue

The specialized brain matter that makes up the cerebrum, responsible for processing thoughts, decisions, sensations, and emotions.

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