The following data show the results of the first job performance measured (in scores) of 10 employees and their grade point average. $$\begin{array} { l l }
\text { First Job Performance } & \text { GPA } ( x ) \
\text { Score } ( y ) & 1.8 \
26 & 2.3 \
31 & 2.6 \
28 & 2.4 \
30 & 2.8 \
34 & 3.0 \
38 & 3.4 \
41 & 3.2 \
44 & 3.6 \
40 & 3.8
\end{array}$$
a.
Develop a least squares estimated regression equation.
b.
Compute the coefficient of determination and comment on the strength of the regression relationship.
c.
Is the slope significant? Use a t test and let α = .05.
d.
At the 5% level of significance, test to determine if the model is significant (i.e., perform an F test).

Question

The following data show the results of the first job performance measured (in scores) of 10 employees and their grade point average. $$\begin{array} { l l } 
\text { First Job Performance } & \text { GPA } ( x ) \
\text { Score } ( y ) & 1.8 \
26 & 2.3 \
31 & 2.6 \
28 & 2.4 \
30 & 2.8 \
34 & 3.0 \
38 & 3.4 \
41 & 3.2 \
44 & 3.6 \
40 & 3.8
\end{array}$$ ​ 
a.
Develop a least squares estimated regression equation.
b.
Compute the coefficient of determination and comment on the strength of the regression relationship.
c.
Is the slope significant? Use a t test and let α = .05.
d.
At the 5% level of significance, test to determine if the model is significant (i.e., perform an F test).

Quizplus · Accepted Answer

The Answer of The following data show the results of the first job performance measured (in scores) of 10 employees and their grade point average. $$\begin{array} { l l } 
\text { First Job Performance } & \text { GPA } ( x ) \
\text { Score } ( y ) & 1.8 \
26 & 2.3 \
31 & 2.6 \
28 & 2.4 \
30 & 2.8 \
34 & 3.0 \
38 & 3.4 \
41 & 3.2 \
44 & 3.6 \
40 & 3.8
\end{array}$$ ​ 
a.
Develop a least squares estimated regression equation.
b.
Compute the coefficient of determination and comment on the strength of the regression relationship.
c.
Is the slope significant? Use a t test and let α = .05.
d.
At the 5% level of significance, test to determine if the model is significant (i.e., perform an F test).

The Following Data Show the Results of the First Job