The Following Data Show the Results of the First Job

Essay

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).