Provide an Appropriate Response $y = a + b \ln x$

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. $$\begin{array} { | l l l l l l | } \hline x & 1.2 & 2.7 & 4.4 & 6.6 & 9.5 \\\hline y & 1.6 & 4.7 & 8.9 & 9.5 & 12.0 \\\hline\end{array}$$

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