Provide an Appropriate Response $\begin{array} { r r r r r r } x & 1.2 & 2.7 & 4.4 & 6.6 & 9.5 \\\hline y & 1.6 & 4.7 & 8.9 & 9.5 & 12.0\end{array}$

question 53

Multiple Choice

Provide an appropriate response. For the data below, determine the logarithmic equation, y=a+b ln x that best fits the data. Hint: Begin by replacing each x -value with ln x then use the usual methods to find the equation of the least squares regression line.
$\begin{array} { r r r r r r } x & 1.2 & 2.7 & 4.4 & 6.6 & 9.5 \\\hline y & 1.6 & 4.7 & 8.9 & 9.5 & 12.0\end{array}$

• A) \(\hat { y } = - 0.458 + 5.36 \ln x\)
• B) \(\hat { y } = - 0.881 + 4.86 \ln x\)
• C) \(\hat { y } = - 1.81 + 6.91 \ln x\)
• D) \(\hat { y } = 0.457 + 5.06 \ln x\)

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Definitions:

Preoperational

A stage in Piaget's theory of cognitive development, typically from ages 2 to 7, characterized by symbolic thinking and a lack of logical operations.

Classical Conditioning

A learning process that occurs when two stimuli are repeatedly paired; a response that is at first elicited by the second stimulus is eventually elicited by the first stimulus alone.

Neutral Stimulus

A stimulus that initially produces no specific response other than focusing attention.

Respondent

A person who answers or responds to something, such as a questionnaire or survey.