10) a) A panel of judge A and B graded seven candidates and awarded the following marks:
[6]
Candidate 1 2 3 4 5 6 7
Marks by A 48 35 38 49 50 25 35
Marks by B 38 34 39 56 48 32 45
An eighth candidate was awarded 36 marks by judge A while judge B was not present. If judge B was also
present, how many marks would you expect him to be awarded to the eighth candidate assuming that the
same degree of relationship exists in their judgments?
Answers
Given : A panel of judge A and B graded seven candidates and awarded the following marks:
Candidate 1 2 3 4 5 6 7
Marks by A 48 35 38 49 50 25 35
Marks by B 38 34 39 56 48 32 45
eighth candidate was awarded 36 marks by judge A
To Find : Marks expected by Judge B for 8th candidate
Solution:
Marks by A = x
Marks by B = y
y = a + bx
48 38 8 -3.71 -29.71 64
35 34 -5 -7.71 38.57 25
38 39 -2 -2.71 5.43 4
49 56 9 14.29 128.57 81
50 48 10 6.29 62.86 100
25 32 -15 -9.71 145.71 10
35 45 -5 3.29 -16.43 10
335.00 294
b = 335/294
y - 292/7 = 335/294 (x - 40)
=> 294y - 12264 = 335x - 13400
=> 294y = 335x- 1136
=> y = 1.14x - 3.864
x = 36
=> y = 37.2
37.2 marks are expected
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