In a Study of Reaction Times, the Time to Respond

Short Answer

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.

$\begin{array} { c c } \hline \text { Visual } & \text { Auditory } \\\hline 168 & 245 \\171 & 242 \\185 & 240 \\235 & 249 \\171 & 239 \\182 & 246 \\173 & 240 \\249 & 246 \\\hline\end{array}$

i). Compute the least-squares regression line for predicting auditory response time (y) from visual res time (x).
ii). Construct a 99% confidence interval for the slope of the least-squares regression line.
iii). Test H₀: $\beta _ { 1 }$ =0 versus $\beta _ { 1 } \neq 0$ .Use the $\alpha = 0.01$ =0.01 level of significance.