9) Consider the hours of preparation, mid-term examination and final examination performance of 12 students shown in Table I a) Determine a linear regression of the mid-term performance on the hours of preparation for the mid-term. b) Determine a linear regression of the final examination performance on the hours of preparation for the final examination. If a student scores 95% in the mid term examination, estimate the amount of hours she prepared for the mid term examination. d) If a student scores 95% in the final examination, estimate the amount of hours she prepared for the final examination.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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Consider the hours of preparation, mid-term examination and final examination performance of 12
students shown in Table I
a)
Determine a linear regression of the mid-term performance on the hours of preparation for
the mid-term.
b)
Determine a linear regression of the final examination performance on the hours of preparation
for the final examination.
If a student scores 95% in the mid term examination, estimate the amount of hours she
prepared for the mid term examination.
d)
If a student scores 95% in the final examination, estimate the amount of hours she prepared
for the final examination.
Transcribed Image Text:Consider the hours of preparation, mid-term examination and final examination performance of 12 students shown in Table I a) Determine a linear regression of the mid-term performance on the hours of preparation for the mid-term. b) Determine a linear regression of the final examination performance on the hours of preparation for the final examination. If a student scores 95% in the mid term examination, estimate the amount of hours she prepared for the mid term examination. d) If a student scores 95% in the final examination, estimate the amount of hours she prepared for the final examination.
TABLE I
HOURS OF PREPARATION, MID-TERM SCORES AND FINAL EXAMINATION SCORES OF 12 STUDENTS FOR PROBLEM #9).
Hours of
Preparation Performance
(Mid-term) (Percentage) (Final Exam) (Percentage)
Mid-Term
Hours of
Final Exam
Preparation
Performance
12
71
15
83
08
49
12
62
15
80
14
76
14
73
14
77
22
93
21
89
17
85
13
74
10
58
08
48
16
82
15
78
10
64
12
76
05
32
09
51
20
87
13
73
18
80
21
89
Transcribed Image Text:TABLE I HOURS OF PREPARATION, MID-TERM SCORES AND FINAL EXAMINATION SCORES OF 12 STUDENTS FOR PROBLEM #9). Hours of Preparation Performance (Mid-term) (Percentage) (Final Exam) (Percentage) Mid-Term Hours of Final Exam Preparation Performance 12 71 15 83 08 49 12 62 15 80 14 76 14 73 14 77 22 93 21 89 17 85 13 74 10 58 08 48 16 82 15 78 10 64 12 76 05 32 09 51 20 87 13 73 18 80 21 89
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