Ten Students in a Graduate Program Were Randomly Selected

Essay

Ten students in a graduate program were randomly selected.Their grade point averages (GPAs)when they entered the program were between 3.5 and 4.0.The students' GPAs on entering the program and their current GPAs were recorded.Using a 10% level of significance,do the data below provide evidence of the conclusion that higher entering GPAs are associated with higher current GPA?
Dependent variable is: Current GPA
R-squared = 0.001849
s = 0.1452 with 10 - 2 = 8 degrees of freedom $$\begin{array} { l l l l l } \text { Variable } & \text { Coefficient } & \text { SE(Coeff) } & \text { t-ratio } & \text { P-value } \\\text { Constant } & 3.674375 & 0.95089 & 3.864144 & 0.004781 \\\text { Entering GPA } & 0.03125 & 0.256697 & 0.121739 & 0.4531\end{array}$$