A lecturer would like to see the relationship between Mathematics and Statistics modules. She chooses a sample of students and records their scores in both modules. The scores are given in table below. Student Mathematics (x) 65 65 Statistics () F 85 87 E 71 79 77 74 82 64 The data are summarised as follows: 85 90 81 65 79 78 78 61 Σx- 71 Σy- 65Σw - 5198 Σ -4361 E* = 56631 (a) Represent the above data in a scatter graph. (b) (i) Calculate product moment correlation coefficient, r. (11) Interpret your result in part b(i). Compute coefficient of detemination, r².

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A lecturer would like to see the relationship between Mathematics and Statistics modules. She
chooses a sample of students and records their scores in both modules. The scores are given in
table below.
Student
I
H
81
A
B
D
77
E
F
G
Mathematics (x)
65
65
The data are summarised as follows:
71
79
85
78
85
90
Statistics ()
74
82
64
87
78
61
65
79
Σx- 711 Σ- 655 Σν- 51798 Σy -4361
E = 56631
(a)
Represent the above data in a scatter graph.
(b)
(1)
Calculate product moment corelation coefficient, r.
(11)
Interpret your result in part b(i).
(c)
Compute coefficient of detemination, r.
(d)
(1)
Compute linear regression equation in the form of y= a+ bx
(1i)
Draw the regression line on the same graph in part (a).
(e)
Estimate the Statistics score if the student obtains 80 score in Mathematics.
Transcribed Image Text:A lecturer would like to see the relationship between Mathematics and Statistics modules. She chooses a sample of students and records their scores in both modules. The scores are given in table below. Student I H 81 A B D 77 E F G Mathematics (x) 65 65 The data are summarised as follows: 71 79 85 78 85 90 Statistics () 74 82 64 87 78 61 65 79 Σx- 711 Σ- 655 Σν- 51798 Σy -4361 E = 56631 (a) Represent the above data in a scatter graph. (b) (1) Calculate product moment corelation coefficient, r. (11) Interpret your result in part b(i). (c) Compute coefficient of detemination, r. (d) (1) Compute linear regression equation in the form of y= a+ bx (1i) Draw the regression line on the same graph in part (a). (e) Estimate the Statistics score if the student obtains 80 score in Mathematics.
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