The director of admissions at Pentagon College administered a newly designed entrance test to 20 students selected at random for the new freshman class in a study to determine whether a student's grade point average (GPA) of the end of freshman year can be predicted from the entrance test score. The results of the study are as follows: ΣX; = 100, EX₁² = 509.12, SSE = 3.41 and Y₁ = -1.70 +0.48X₁.

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The director of admissions at Pentagon College administered a newly designed entrance test
to 20 students selected at random for the new freshman class in a study to determine whether
a student's grade point average (GPA) of the end of freshman year can be predicted from the
entrance test score. The results of the study are as follows: ΣX; = 100, X² = 509.12,
SSE = 3.41 and Y = -1.70+ 0.48X₁.
Transcribed Image Text:The director of admissions at Pentagon College administered a newly designed entrance test to 20 students selected at random for the new freshman class in a study to determine whether a student's grade point average (GPA) of the end of freshman year can be predicted from the entrance test score. The results of the study are as follows: ΣX; = 100, X² = 509.12, SSE = 3.41 and Y = -1.70+ 0.48X₁.
e)
Find and interpret a 90% interval estimate of the mean freshman GPA when the entrance
test score is five.
Transcribed Image Text:e) Find and interpret a 90% interval estimate of the mean freshman GPA when the entrance test score is five.
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