The table shows the number of fiber-optic cable connections to homes in the U.S. from 2000 to 2004 ( $t = 0$ represents 2000). Use technology to obtain the linear regression line, with regression coefficients rounded to two decimal places. $$\begin{array} { | l | l | l | l | l | l | }
\hline \text { Year } t & 0 & 1 & 2 & 3 & 4 \
\hline \text { Connections } c \text { (Thousands) } & 0 & 10 & 25 & 65 & 150 \
\hline
\end{array}$$
A) $c = 35.5 t - 21$
B) $c = - 35.5 t - 21$
C) $c = 35.5 t + 21$
D) $c = 142 t - 21$
E) $c = - 142 t + 21$

Question

The table shows the number of fiber-optic cable connections to homes in the U.S. from 2000 to 2004 ( $t = 0$ represents 2000). Use technology to obtain the linear regression line, with regression coefficients rounded to two decimal places. $$\begin{array} { | l | l | l | l | l | l | } 
\hline \text { Year } t & 0 & 1 & 2 & 3 & 4 \
\hline \text { Connections } c \text { (Thousands) } & 0 & 10 & 25 & 65 & 150 \
\hline
\end{array}$$ 
A) $c = 35.5 t - 21$
B)  $c = - 35.5 t - 21$
C)  $c = 35.5 t + 21$
D)  $c = 142 t - 21$
E)  $c = - 142 t + 21$

Quizplus · Accepted Answer

The linear regression line that best fits the given data points, when calculated, results in a slope and intercept that closely match choice A, $c = 35.5t - 21$, with the coefficients rounded to two decimal places.

The Table Shows the Number of Fiber-Optic Cable Connections to Homes