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

question 39

Short Answer

Provide an appropriate response. For the data below, determine the logarithmic equation, ya=+b lnx 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. $\begin{array}{rrrrrr}x & 1.2 & 2.7 & 4.4 & 6.6 & 9.5 \\\hline y & 1.6 & 4.7 & 8.9 & 9.5 & 12.0\end{array}$

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

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

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Definitions:

Generalization

The extension of learned responses to stimuli that are similar but not identical to the conditioned stimulus in a learning process.

Spontaneous Recovery

The reappearance of a previously extinguished response after a period of time without exposure to the conditioned stimulus.

Extinction

In psychology, the process through which a conditioned response decreases in frequency and eventually disappears as a result of the withdrawal of reinforcement.

Contingency

The relationship between two events, one being contingent or a consequence of the other's occurrence.