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Ten Students in a Graduate Program Were Randomly Selected

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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  Variable  Coefficient  SE(Coeff)  t-ratio  P-value  Constant 3.6743750.950893.8641440.004781 Entering GPA 0.031250.2566970.1217390.4531\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}


Definitions:

Post-Formal Reasoning

A stage of cognitive development that goes beyond Piaget's formal operational stage, allowing for more complex and nuanced thinking that incorporates ambiguity and contradiction.

Graduate School

An advanced program of study focused on a particular academic discipline or profession, typically after completing an undergraduate degree.

Philosophy

The study of fundamental questions related to existence, knowledge, values, reason, mind, and language.

Practical Thought

Reasoning focused on dealing with specific tasks, solving practical problems, and making decisions based on real-life contexts and experiences.

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