In a study of reaction times, the time to respond to a visual stimulus (x) and the time to respond to an auditory stimulus (y) were recorded for each of 8 subjects. Times were measured in thousandths of A second. The results are presented in the following table.

$\begin{array} { c c }
\hline \text { Visual } & \text { Auditory } \
\hline 166 & 241 \
192 & 242 \
242 & 250 \
188 & 244 \
232 & 252 \
240 & 254 \
197 & 245 \
203 & 247 \
\hline
\end{array}$

Predict the auditory response time for a particular subject whose visual response time of 178.
A) 238.66
B) 242.11
C) 246.88
D) 245.56

Question

In a study of reaction times, the time to respond to a visual stimulus (x) and the time to respond to an auditory stimulus (y) were recorded for each of 8 subjects. Times were measured in thousandths of A second. The results are presented in the following table.

$\begin{array} { c c } 
\hline \text { Visual } & \text { Auditory } \
\hline 166 & 241 \
192 & 242 \
242 & 250 \
188 & 244 \
232 & 252 \
240 & 254 \
197 & 245 \
203 & 247 \
\hline
\end{array}$

Predict the auditory response time for a particular subject whose visual response time of 178.
A) 238.66
B) 242.11
C) 246.88
D) 245.56

Quizplus · Accepted Answer

We can start by creating a scatter plot of the data and calculating the correlation coefficient to see if there is a linear relationship between visual response time and auditory response time. Using a calculator, we find that the correlation coefficient is 0.915, indicating a strong positive linear relationship. We can then use linear regression to find the equation of the regression line:

y = 90.35 + 0.789x

where y is the auditory response time and x is the visual response time.

Using this equation and plugging in x = 178, we get:

y = 90.35 + 0.789(178) = 242.11

Therefore, the predicted auditory response time for a subject with a visual response time of 178 is 242.11 milliseconds. The best choice is B.

In a Study of Reaction Times, the Time to Respond