Correlation and RegressionMCQMTP June 24 Series IIQuestion 3634 of 188
All Questions

For a (mtimesn)\displaystyle (m \\times n) classification of bivariate data, the maximum no. of conditional distributions is

Options

Ap\displaystyle p
Bp+q\displaystyle p+q
Cpq\displaystyle pq
Dp\displaystyle p
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Correct Answer

✅ Option b — p+q\displaystyle p+q

All Options:

  • Ap\displaystyle p
  • Bp+q\displaystyle p+q
  • Cpq\displaystyle pq
  • Dp\displaystyle p

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Detailed Solution & Explanation

**Conditional distributions in bivariate data:** For an mtimesn\displaystyle m \\times n bivariate frequency table (using p\displaystyle p and q\displaystyle q notation as in the options, where p=m\displaystyle p = m rows and q=n\displaystyle q = n columns): **Conditional distributions:** - Conditional distributions of Y\displaystyle Y given X\displaystyle X = p\displaystyle p distributions (one for each row/value of X\displaystyle X) - Conditional distributions of X\displaystyle X given Y\displaystyle Y = q\displaystyle q distributions (one for each column/value of Y\displaystyle Y) **Maximum total conditional distributions** =p+q=m+n\displaystyle = p + q = m + n This is the standard result: for a ptimesq\displaystyle p \\times q (or mtimesn\displaystyle m \\times n) bivariate table, the maximum number of conditional distributions is p+q\displaystyle p + q. 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

Correlation vs Regression: Statistics for CA Foundation

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