Q.5. Calculate the coefficient of rank correlation from the following data.
x 48 33 40 9 16 16 65 24 16 57
y 13 13 24 6 15 4 20 9 6 19
Answers
Answer:
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The coefficient of rank correlation from the following data is r=0.792.
Explanation:
- Given data can be tabulated as follows:
x y rank(x) rank(y) |Dxy|
48 13 3 5.5 2.5 6.25
33 13 5 5.5 0.5 0.25
40 24 4 1 3 9
9 6 10 8.5 1.5 2.25
16 15 8 4 4 16
16 4 8 10 2 4
65 20 1 2 1 1
24 9 6 7 1 1
16 6 8 8.5 0.5 0.25
57 19 2 3 1 1
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- Now the expression to compute the rank correlation is given by . . .
Hence, the coefficient of rank correlation from the following data is r=0.792.