The Following Data Show the Results of an Aptitude Test $\alpha$

question 33

Essay

The following data show the results of an aptitude test (Y) and the grade point average of 10 students.
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 $\alpha$ = 0.05.
d.At 95% confidence, test to determine if the model is significant (i.e., perform an F test).

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Definitions:

Rectus Abdominis

A long muscle running from the pubis to the rib cage, involved in flexing the lumbar spine and stabilizing the pelvis and lower back.

External Oblique

A muscle located on the lateral and anterior part of the abdomen, playing a crucial role in the movement and support of the trunk.

Internal Oblique

A muscle in the abdominal wall that assists in rotating and side-bending the trunk.

Coracobrachialis

A muscle in the shoulder that aids in flexing and adducting the arm.