The table below shows the final marks in Mathematics and English obtained by 10 students selected at random from a large group of students. Math (x) 75 80 93 65 87 71 98 68 84 77  English (y) 82 78 86 72 91 80 95 72 89 74  A) Obtain the relationship between the final marks in Mathematics and English by correlation coefficient.                     B)Fit a least-squares line from which the scatter diagram obtained in part (a). C)If a student receives a mark of 75 in mathematics, what is his expected mark in English?                                                                                                                                              D) If a student receives a mark of 95 in English, what is his expected mark in mathematics?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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  1. The table below shows the final marks in Mathematics and English obtained by 10 students selected at random from a large group of students.

Math (x)

75

80

93

65

87

71

98

68

84

77 

English (y)

82

78

86

72

91

80

95

72

89

74 

A) Obtain the relationship between the final marks in Mathematics and English by

correlation coefficient.   

                

B)Fit a least-squares line from which the scatter diagram obtained in part (a).

C)If a student receives a mark of 75 in mathematics, what is his expected mark in English?

                                                                                                                                            

D) If a student receives a mark of 95 in English, what is his expected mark in mathematics?

                                                                                                    

 

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