Consider the data set shown below. Find the 95% confidence interval for the slope of the regression line. $\begin{array}{c|c|c|c|c|c|c|c}
\mathrm{y} & 0 & 3 & 2 & 3 & 8 & 10 & 11 \
\hline \mathrm{x} & -2 & 0 & 2 & 4 & 6 & 8 & 10
\end{array}$

A) $0.94643 \pm 0.33306$
B) $0.94643 \pm 0.36203$
C) $0.94643 \pm 0.27603$
D) $0.94643 \pm 0.28377$

Question

Consider the data set shown below. Find the 95% confidence interval for the slope of the regression line. $\begin{array}{c|c|c|c|c|c|c|c}
\mathrm{y} & 0 & 3 & 2 & 3 & 8 & 10 & 11 \
\hline \mathrm{x} & -2 & 0 & 2 & 4 & 6 & 8 & 10
\end{array}$

A) $0.94643 \pm 0.33306$
B) $0.94643 \pm 0.36203$
C) $0.94643 \pm 0.27603$
D) $0.94643 \pm 0.28377$

Quizplus · Accepted Answer

The correct confidence interval for the slope is calculated using the standard error of the slope and the t-distribution. The choice B provides the correct margin of error for the slope's confidence interval.

Consider the Data Set Shown Below y032381011x−20246810\begin{array}{c|c|c|c|c|c|c|c}\mathrm{y} & 0 & 3 & 2 & 3 & 8 & 10 & 11 \\\hline \mathrm{x} & -2 & 0 & 2 & 4 & 6 & 8 & 10\end{array}yx​0−2​30​22​34​86​108​1110​​

Consider the Data Set Shown Below $\begin{array}{c|c|c|c|c|c|c|c}\mathrm{y} & 0 & 3 & 2 & 3 & 8 & 10 & 11 \\\hline \mathrm{x} & -2 & 0 & 2 & 4 & 6 & 8 & 10\end{array}$