Use the given set of points to compute the standard error of $b _ { 1 } , s _ { \mathrm { b } }$
$\begin{array} { c | c c c c c c c c }
x & 7 & 7 & 10 & 8 & 14 & 8 & 5 & 9 \
\hline y & 16 & 18 & 21 & 16 & 33 & 19 & 17 & 23
\end{array}$
A) 2.5043
B) 50.0000
C) 0.3542
D) 1.9300

Question

Use the given set of points to compute the standard error of $b _ { 1 } , s _ { \mathrm { b } }$
$\begin{array} { c | c c c c c c c c } 
x & 7 & 7 & 10 & 8 & 14 & 8 & 5 & 9 \
\hline y & 16 & 18 & 21 & 16 & 33 & 19 & 17 & 23
\end{array}$
A)  2.5043 
B) 50.0000
C) 0.3542
D) 1.9300

Quizplus · Accepted Answer

The standard error of $b_1$ is given by:$$s_{b_1} = \frac{s_e}{\sqrt{\sum_{i=1}^n (x_i - \bar{x})^2}}$$where $s_e$ is the standard error of the estimate, $\bar{x}$ is the mean of the $x$ values, and $n$ is the number of data points.In this case, we have:$$s_e = 2.5043$$$$\bar{x} = 8.5$$$$n = 8$$Plugging these values into the formula, we get:$$s_{b_1} = \frac{2.5043}{\sqrt{\sum_{i=1}^8 (x_i - 8.5)^2}} = 0.3542$$Therefore, the correct answer is C) 0.3542.

Use the Given Set of Points to Compute the Standard b1,sbb _ { 1 } , s _ { \mathrm { b } }b1​,sb​

Use the Given Set of Points to Compute the Standard $b _ { 1 } , s _ { \mathrm { b } }$