A professional body wishes to analyse the performance of its students on a particular two-part examination. It records the scores obtained by a sample of 12 students on the first part of the exam, and the scores obtained by the same students on the second part of the exam. The results are as follows:   Student A B C D E F G H I J K L First-part exam score x (%) 82 49 73 60 61 77 65 85 91 53 59 73 Second-part exam score y (%) 76 58 75 66 70 71 76 92 87 59 63 71   Calculate the fitted linear regression equation of y on x.                                                Comment on the relationship between the scores obtained in the two exams.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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A professional body wishes to analyse the performance of its students on a particular two-part examination. It records the scores obtained by a sample of 12 students on the first part of the exam, and the scores obtained by the same students on the second part of the exam. The results are as follows:

 

Student

A

B

C

D

E

F

G

H

I

J

K

L

First-part exam score x (%)

82

49

73

60

61

77

65

85

91

53

59

73

Second-part exam score y (%)

76

58

75

66

70

71

76

92

87

59

63

71

 

  1. Calculate the fitted linear regression equation of y on x.                                               
  2. Comment on the relationship between the scores obtained in the two exams.                                               
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