Use Technology to Find a Logistic Regression Curve $y = \frac { N } { 1 + A b ^ { - x } }$

Multiple Choice

Use technology to find a logistic regression curve $y = \frac { N } { 1 + A b ^ { - x } }$ approximating the given data. (Round b to three significant digits and A and N to two significant digits.) $$\begin{array} { | l | l | l | l | l | l | l | } \hline x & 0 & 20 & 40 & 60 & 80 & 100 \\\hline y & 2.2 & 3.8 & 5.0 & 6.1 & 6.8 & 6.9 \\\hline\end{array}$$

A) $y = \frac { 7.2 } { 1 + 2.2 \left( 1.04 ^ { - x } \right) }$
B) $y = \frac { 7.2 } { 4.4 \left( 1.04 ^ { - x } \right) }$
C) $y = \frac { 5.2 } { 1 + 2.2 \left( 1.04 ^ { - x } \right) }$
D) $y = \frac { 5.2 } { 1 + 4.4 \left( 2.08 ^ { - x } \right) }$
E) $y = \frac { 7.2 } { 1 + 2.2 \left( 2.08 ^ { - x } \right) }$