$$\begin{array}{l}
\text { Compute the slope of the regression line for the data }\
\begin{array} { c c c c c }
& \mathrm { X } \text { values } & - 3 & - 2 & 2 \
\text { below. } & \text { Y values } & 3 & 4 & - 1
\end{array}
\end{array}$$
A) -1.93
B) -0.93
C) 1.36
D) -4.78

Question

$$\begin{array}{l}
\text { Compute the slope of the regression line for the data }\
\begin{array} { c c c c c } 
& \mathrm { X } \text { values } & - 3 & - 2 & 2 \
\text { below. } & \text { Y values } & 3 & 4 & - 1
\end{array}
\end{array}$$
A) -1.93
B) -0.93
C) 1.36
D) -4.78

Quizplus · Accepted Answer

Using the formula for the slope of the regression line:
$$	ext{slope}=\frac{n\sum xy-\sum x \sum y}{n\sum x^2-(\sum x)^2}$$
where $n$ is the number of data points, we can plug in the values from the given data:
$$	ext{slope}=\frac{3(-3\cdot3+(-2)\cdot4+2\cdot(-1))-(3+(-2)+2)(3+4+(-1))}{3(-3^2+(-2)^2+2^2)-(3+(-2)+2)^2}=-\frac{28}{30}=-0.93$$
Therefore, the correct choice is B, and the slope of the regression line is -0.93.

A) -193 B) -0

A) -193
B) -0