Consider the following pairs of observed values (x,y): (10,2), (8,3), (7,5), (5,4), (3,6), (2,9).Compute Spearman's rank correlation coefficient for this data set.
A)0.037
B)-0.744
C)-0.863
D)0.842
E)-0.943

Question

Quizplus · Accepted Answer

Spearman's rank correlation coefficient is calculated by ranking the x and y values, finding the difference between the ranks for each pair, squaring these differences, summing them, and applying the formula. The calculation for this data set results in a coefficient of approximately -0.943, indicating a strong negative correlation.

Consider the Following Pairs of Observed Values (X,y): (10,2), (8,3)