Calculate the correlation coefficient between the heights of fathers in inches (X) and their sons (Y)X 65 66 57 67 68 69 70 72Y 67 56 65 68 72 72 69 71
Answers
Step-by-step explanation:
Given Calculate the correlation coefficient between the heights of fathers in inches
(X) and their sons (Y)X 65 66 57 67 68 69 70 72Y 67 56 65 68 72 72 69 71
height of
father Rank (r1) height of son Rank (r2) mod d (r1 – r2) d^2
65 7 67 6 1 1
66 6 56 8 2 4
57 8 65 7 1 1
67 5 68 5 0 0
68 4 72 1 3 9
69 3 72 1 2 4
70 2 69 4 2 4
72 1 71 3 2
Now number of heights will be n = 8 and ∑d^2 = 25
So we have r = 1 – 6 ∑d^2 / n (n^2 – 1)
= 1 – 6 x 25 / 8 (8^2 – 1)
= 1 – 150 / 504
= 354 / 504
= 0.702
Reference link will be
https://brainly.in/question/17182665
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