Correlation and RegressionMCQMTP June 22Question 3632 of 188
All Questions

For a mtimesn\displaystyle m \\times n two way or bivariate frequency table, the maximum number of marginal distributions is

Options

A1\displaystyle 1
B2\displaystyle 2
Cm+n\displaystyle m+n
Dmn\displaystyle mn
For any discrepancies in this question, email contact@cadada.in

Correct Answer

Option b2\displaystyle 2

All Options:

  • A1\displaystyle 1
  • B2\displaystyle 2
  • Cm+n\displaystyle m+n
  • Dmn\displaystyle mn

Ad

Detailed Solution & Explanation

**Marginal distributions in a bivariate (two-way) table:** For an mtimesn\displaystyle m \\times n bivariate frequency table with variables X\displaystyle X (with m\displaystyle m categories) and Y\displaystyle Y (with n\displaystyle n categories): **Marginal distributions:** 1. **Marginal distribution of X\displaystyle X:** Row totals — the distribution of X\displaystyle X irrespective of Y\displaystyle Y (1 distribution) 2. **Marginal distribution of Y\displaystyle Y:** Column totals — the distribution of Y\displaystyle Y irrespective of X\displaystyle X (1 distribution) **Total = 2 marginal distributions** No matter the size mtimesn\displaystyle m \\times n of the table, there are always exactly **2 marginal distributions** (one per variable). Hence, **Option B** 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.

Related Comparison Tables

More Questions from Correlation and Regression

Ready to Master Correlation and Regression?

Practice all 188 questions with instant feedback, earn XP, track your streaks, and ace your CA Foundation exam.

Start Practicing — It's Free