CA Foundation P3 · Chapter 17 · Question 4 of 9
For 6 pairs of ranks, the sum of squares of rank differences Σd² = 14. Spearman's rank correlation coefficient is (to two decimals):
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: D) 0.60
Explanation
R = 1 − 6Σd²/[n(n² − 1)] = 1 − (6 x 14)/(6 x 35) = 1 − 84/210 = 1 − 0.40 = 0.60. Omitting the factor 6 in the numerator gives 1 − 14/210 = 0.93, 0.40 forgets to subtract from 1, and −0.60 has the wrong sign.
More Correlation and Regression MCQs
- Q6The two regression lines are 3x + 2y = 26 and 6x + y = 31. The coefficient of correlation between x and y is:
- Q7The coefficient of correlation from 25 pairs of observations is 0.8. Taking PE = 0.6745 x (1 − r²)/√n, the probable error of r is (to four…
- Q8Given x̄ = 20, ȳ = 45 and the regression coefficient of y on x, byx = 1.2, the estimated value of y when x = 25 is:
- Q9When the coefficient of correlation r = 0, the two lines of regression are:
- Q1The coefficient of correlation r always lies between:
