The following table shows the running speed , in centimeters per second, of ants as a func- tion of the temperature $T$ in degrees Celsius. Use linear regression to model running speed as a function of
Temperature. $$\begin{array} { | l | l | l | l | l | }
\hline T & 25.6 & 30.3 & 32.3 & 34.8 \
\hline R & 2.45 & 3.34 & 4.57 & 4.9 \
\hline
\end{array}$$
A) $R = 0.19 T + 2.45$
B) $T = 0.19 R + 2.45$
C) $R = 0.28 T - 4.84$
D) $T = 0.28 R - 4.84$

Question

The following table shows the running speed  , in centimeters per second, of ants as a func- tion of the temperature $T$ in degrees Celsius. Use linear regression to model running speed as a function of
Temperature. $$\begin{array} { | l | l | l | l | l | } 
\hline T & 25.6 & 30.3 & 32.3 & 34.8 \
\hline R & 2.45 & 3.34 & 4.57 & 4.9 \
\hline
\end{array}$$
A) $R = 0.19 T + 2.45$ 
B) $T = 0.19 R + 2.45$ 
C) $R = 0.28 T - 4.84$ 
D) $T = 0.28 R - 4.84$

Quizplus · Accepted Answer

To use linear regression, we need to find the slope and the y-intercept of the line of best fit. Using a graphing calculator or statistical software, we can find that the slope is approximately 0.28 and the y-intercept is approximately -4.84. Therefore, the equation of the line of best fit is R = 0.28T - 4.84. Therefore, the best choice is C.

The Following Table Shows the Running Speed , in Centimeters