The Spearman rank-order correlation coefficient, rs The Spearman rank-order corr

Question

The Spearman rank-order correlation coefficient, rs The Spearman rank-order correlation coefficient, rs, is the nonparametric version of r. It converts all (x,y) pairs to their corresponding (x rank, y rank) pairs and computes the correlation between the X and Y rankings. Below are 7 randomly generated (x,y) pairs: (8,66) (16,91) (20,42) (47,31) (56,46) (88,58) (97,49) The Spearman rank-order correlation coefficient is found to be rs-0.32. a. Which of the following 7 (x,y) pairs will also have rs0.32? Select all that are True (8,31) (16,42) (20,46) (47,49) (56,58) (88,66) (97,91) (8,65) (16,90) (20,41) (47,30) (56,45) (88,57) (97,48) (8,6) (16,7) (20,2) (47,1) (56,3) (88,5) (97,4) (1,66) (2,91) (3,42) (4,31) (5,46) (6,58) (7,49) (8,1) (16,2) (20,3) (47,4) (56,5) (88,6) (97,7) Submit Answer Tries 0f4 b. Any set of n (x,y) pairs can be written as (1,-), (2,--), (3,--), , (n,-) with blanks filled in with 1, 2, 3, , n in different orders corresponding to the rank of the y values You can always translate values to ranks, but can you ever translate ranks back to values? Yes No Submit Answer Tries 0/1

Explanation / Answer

linear transformation does not change correlation

hence

option B) is corrrect here evey y is reduced by 1

b)

No

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