Ten Students in a Graduate Program at the University of Toronto

question 48

Essay

Ten students in a graduate program at the University of Toronto were randomly selected.Their grade point averages (GPAs)when they entered the program were between 3.5 and 4.0.The following data consist of the students' GPAs on entering the program and their current GPAs.
Using a 10% level of significance,do the data below provide evidence of the conclusion that higher entering GPAs are associated with higher current GPAs?

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Definitions:

SSE

Sum of Squared Errors, which measures the total deviation of response values from the fit values in statistical models.

SST

Sum of Squares Total, a statistical measure that represents the total variance in a dataset.

Correlation Coefficient

A statistical measure that describes the extent of the linear relationship between two variables, ranging from -1 to 1.

Linear Relationship

A relationship between two variables where the change in one variable is directly proportional to the change in another.