The data below show the scores of the math exam and English exam of 20 students. Math Exam English Exam 70 74 45 50 26 30 84 70 23 30 88 80 75 85 99 100 100 100 100 40 20 30 46 65 42 45 74 80 56 60 12 20 65 65 80 80 66 75 87 95 The Math teacher thought of using the English exam marks as well to predict the math exam marks. The least squares regression line to predict the math exam scores was calculated: Math score = 3.45+0.933*English score 1-A student got 45 in his English exam. Knowing that the residual is equal to 4.565, what is his exact math exam score? 2-The typical deviation about (English score = 17.84 + 0.729*Math score) is 14.3, and the typical deviation about (Math score = 3.45+0.933*English score) is 16.22. which equation is more useful to predict the marks? Why. The English teacher believes that she can find out the student's estimated mark in English exam by knowing his Math exam mark. The following information are given: The least squares regression line to predicting the English exam scores is: English score = 17.84 + 0.729*Math score 3Predict the English mark exam for a student who got 9 on his math exam. If possible.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.4: Mathematical Models And Least Squares Analysis
Problem 39E
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The data below show the scores of the math exam and English exam of 20 students.
Math Exam
English Exam
70
74
45
50
26
30
84
70
23
30
88
80
75
85
99
100
100
100
100
40
20
30
46
65
42
45
74
80
56
60
12
20
65
65
80
80
66
75
87
95
The Math teacher thought of using the English exam marks as well to predict the math
exam marks.
The least squares regression line to predict the math exam scores was calculated:
Math score = 3.45+0.933*English score
1-A student got 45 in his English exam. Knowing that the residual is equal to 4.565, what
is his exact math exam score?
2-The typical deviation about (English score = 17.84 + 0.729*Math score) is 14.3, and the
typical
deviation about (Math score = 3.45+0.933*English score) is 16.22.
which equation is more useful to predict the marks? Why.
The English teacher believes that she can find out the student's estimated mark in
English exam by
knowing his Math exam mark.
The following information are given:
The least squares regression line to predicting the English exam scores is:
English score = 17.84 + 0.729*Math score
3-Predict the English mark exam for a student who got 9 on his math exam. If possible.
Transcribed Image Text:The data below show the scores of the math exam and English exam of 20 students. Math Exam English Exam 70 74 45 50 26 30 84 70 23 30 88 80 75 85 99 100 100 100 100 40 20 30 46 65 42 45 74 80 56 60 12 20 65 65 80 80 66 75 87 95 The Math teacher thought of using the English exam marks as well to predict the math exam marks. The least squares regression line to predict the math exam scores was calculated: Math score = 3.45+0.933*English score 1-A student got 45 in his English exam. Knowing that the residual is equal to 4.565, what is his exact math exam score? 2-The typical deviation about (English score = 17.84 + 0.729*Math score) is 14.3, and the typical deviation about (Math score = 3.45+0.933*English score) is 16.22. which equation is more useful to predict the marks? Why. The English teacher believes that she can find out the student's estimated mark in English exam by knowing his Math exam mark. The following information are given: The least squares regression line to predicting the English exam scores is: English score = 17.84 + 0.729*Math score 3-Predict the English mark exam for a student who got 9 on his math exam. If possible.
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