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.
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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I attached two pictures, all of them are one question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F38ec8aa9-3aeb-495a-9a0d-4ac665d432e8%2F8a1d03c6-bb35-4da7-a286-ecf1cb4a412e%2Fh3p2apg_processed.jpeg&w=3840&q=75)
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F38ec8aa9-3aeb-495a-9a0d-4ac665d432e8%2F8a1d03c6-bb35-4da7-a286-ecf1cb4a412e%2F23avbkg_processed.jpeg&w=3840&q=75)
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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