The following information regarding a dependent variable y and an independent variable x is provided: $$\begin{array} { l l }
\Sigma x = 90 & \sum \left( y - \frac { y } { ) } \right) ( x - x ) = - 156 \
\Sigma y = 340 & \Sigma \left( x - \frac { x } { 2 } \right) ^ { 2 } = 234 \
n = 4 & \sum ( y - y ) ^ { 2 } = 1974 \
\mathrm { SSR } = 104 &
\end{array}$$ The slope of the regression equation is
A) -.667.
B) .667.
C) 100.
D) -100.

Question

The following information regarding a dependent variable y and an independent variable x is provided: $$\begin{array} { l l } 
\Sigma x = 90 & \sum \left( y - \frac { y } { ) } \right) ( x - x ) = - 156 \
\Sigma y = 340 & \Sigma \left( x - \frac { x } { 2 } \right) ^ { 2 } = 234 \
n = 4 & \sum ( y - y ) ^ { 2 } = 1974 \
\mathrm { SSR } = 104 &
\end{array}$$  The slope of the regression equation is
A) -.667.
B) .667.
C) 100.
D) -100.

Quizplus · Accepted Answer

The slope of the regression equation is calculated as:$$b = \frac { \Sigma ( x - \overline { x } ) ( y - \overline { y } ) } { \Sigma ( x - \overline { x } ) ^ { 2 } }$$Substituting the given values, we get:$$b = \frac { - 156 } { 234 } = -0.667$$Therefore, the slope of the regression equation is -0.667.

The Following Information Regarding a Dependent Variable Y and an Independent