A regression and correlation analysis resulted in the following information regarding an independent variable (x) and a dependent variable (y). $$\begin{array} { l l }
\sum x = 42 & \sum ( y - y ) ( x - x ) = 37 \
\Sigma y = 63 & \sum ( x - \bar { x } ) ^ { 2 } = 84 \
n = 7 & \Sigma ( y - \bar { y } ) ^ { 2 } = 28 \
& \sum ( y - \widehat { y } ) ^ { 2 } = 11.7024
\end{array}$$
a.
Develop the least squares estimated regression equation.
b.
At a .05 level of significance, perform a t test and determine whether or not the slope is significantly different from zero.
c.
Perform an F test to determine whether or not the model is significant. Let α = .05.
d.
Compute the coefficient of determination.

Question

A regression and correlation analysis resulted in the following information regarding an independent variable (x) and a dependent variable (y). $$\begin{array} { l l } 
\sum x = 42 & \sum ( y - y ) ( x - x ) = 37 \
\Sigma y = 63 & \sum ( x - \bar { x } ) ^ { 2 } = 84 \
n = 7 & \Sigma ( y - \bar { y } ) ^ { 2 } = 28 \
& \sum ( y - \widehat { y } ) ^ { 2 } = 11.7024
\end{array}$$ ​ 
a.
Develop the least squares estimated regression equation.
b.
At a .05 level of significance, perform a t test and determine whether or not the slope is significantly different from zero.
c.
Perform an F test to determine whether or not the model is significant. Let α = .05.
d.
Compute the coefficient of determination.

Quizplus · Accepted Answer

The Answer of A regression and correlation analysis resulted in the following information regarding an independent variable (x) and a dependent variable (y). $$\begin{array} { l l } 
\sum x = 42 & \sum ( y - y ) ( x - x ) = 37 \
\Sigma y = 63 & \sum ( x - \bar { x } ) ^ { 2 } = 84 \
n = 7 & \Sigma ( y - \bar { y } ) ^ { 2 } = 28 \
& \sum ( y - \widehat { y } ) ^ { 2 } = 11.7024
\end{array}$$ ​ 
a.
Develop the least squares estimated regression equation.
b.
At a .05 level of significance, perform a t test and determine whether or not the slope is significantly different from zero.
c.
Perform an F test to determine whether or not the model is significant. Let α = .05.
d.
Compute the coefficient of determination.

A Regression and Correlation Analysis Resulted in the Following Information