CA Foundation P3 · Chapter 17 · Question 1 of 9
The coefficient of correlation r always lies between:
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: A) −1 and +1
Explanation
Karl Pearson's coefficient of correlation is a pure number satisfying −1 ≤ r ≤ +1. r = +1 means perfect positive and r = −1 perfect negative correlation.
More Correlation and Regression MCQs
- Q3The two regression coefficients are byx = 0.8 and bxy = 0.45. The coefficient of correlation is:
- Q4For 6 pairs of ranks, the sum of squares of rank differences Σd² = 14. Spearman's rank correlation coefficient is (to two decimals):
- Q5The two regression lines are 3x + 2y = 26 and 6x + y = 31. The means of x and y are:
- 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…