Correlation and RegressionMCQMTP Nov 18Question 3682 of 188
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If three judges appointed for a beauty competition, then how many different rank correlation coefficients are required to analyse the judge competition.

Options

A3\displaystyle 3
B1\displaystyle 1
C2\displaystyle 2
D6\displaystyle 6
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Correct Answer

✅ Option a — 3\displaystyle 3

All Options:

  • A3\displaystyle 3
  • B1\displaystyle 1
  • C2\displaystyle 2
  • D6\displaystyle 6

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Detailed Solution & Explanation

**Number of rank correlation coefficients for 3 judges:** When there are 3 judges (A, B, C), we need to compute rank correlation between every **pair** of judges: 1. rs\displaystyle r_s between Judge A and Judge B 2. rs\displaystyle r_s between Judge B and Judge C 3. rs\displaystyle r_s between Judge A and Judge C Total number of pairs = binom32=frac3!2!cdot1!=3\displaystyle \\binom{3}{2} = \\frac{3!}{2! \\cdot 1!} = 3 So **3 rank correlation coefficients** are required. **Formula for number of correlation coefficients with k\displaystyle k judges:** textNumberofpairs=binomk2=frack(k−1)2=frac3times22=3\\text{Number of pairs} = \\binom{k}{2} = \\frac{k(k-1)}{2} = \\frac{3 \\times 2}{2} = 3 Hence, **Option A** is the correct answer.

About This Chapter: Correlation and Regression

Paper

Paper 3: Quantitative Aptitude

Weightage

4-6 Marks

Key Topics

Correlation Coefficient, Regression Equations

This chapter covers Correlation Coefficient, Regression Equations and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 4-6 Marks weightage. Focus on understanding core concepts rather than memorizing.

Key Concepts to Understand

Correlation

A statistical measure that expresses the extent to which two variables are linearly related.

Related Comparison Tables

Correlation vs Regression: Statistics for CA Foundation

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