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.
$\begin{array}{cc}
\hline \text { Visual } & \text { Auditory } \
\hline 218 & 209 \
153 & 150 \
240 & 226 \
202 & 196 \
243 & 225 \
165 & 161 \
207 & 196 \
209 & 198 \
\hline
\end{array}$

Compute the least-squares regression line for predicting auditory response time $( y )$ from visual response time $( x )$.
A) $y = 20.509336 x$
B) $y = 20.509336 + 0.853345 x$
C) $y = 0.853345 x$
D) $y = 0.853345 + 20.509336 x$

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.
$\begin{array}{cc}
\hline \text { Visual } & \text { Auditory } \
\hline 218 & 209 \
153 & 150 \
240 & 226 \
202 & 196 \
243 & 225 \
165 & 161 \
207 & 196 \
209 & 198 \
\hline
\end{array}$

Compute the least-squares regression line for predicting auditory response time $( y )$ from visual response time $( x )$.
A) $y = 20.509336 x$
B) $y = 20.509336 + 0.853345 x$
C) $y = 0.853345 x$
D) $y = 0.853345 + 20.509336 x$

Quizplus · Accepted Answer

The least-squares regression line for predicting $y$ from $x$ is typically in the form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. Choice B correctly represents this form with $m = 0.853345$ and $b = 20.509336$, indicating that for every unit increase in $x$, $y$ increases by approximately 0.853345 units, starting from a base of 20.509336 when $x = 0$.

In a Study of Reaction Times, the Time to Respond (x)( x )(x)

In a Study of Reaction Times, the Time to Respond $( x )$