The Following Data Show the Results of an Aptitude Test

Essay

The following data show the results of an aptitude test Y) and the grade point average of 10 students.
$\begin{array}{ll}\text { Aptitude Test }\\\text { Score Y) }&\text { GPA X) }\\26 & 1.8 \\31 & 2.3 \\28 & 2.6 \\30 & 2.4 \\34 & 2.8 \\38 & 3.0 \\41 & 3.4 \\44 & 3.2 \\40 & 3.6 \\43 & 3.8\end{array}$
a. Develop a least squares estimated regression line.
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 = 0.05.
d. At 95% confidence, test to determine if the model is significant i.e., perform an F test).