Correlation and RegressionMCQMTP Oct 21Question 3629 of 188
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For a ptimesq\displaystyle p \\times q classification of bivariate data, the maximum no. of conditional distributions is

Options

Ap\displaystyle p
Bpq\displaystyle pq
Cp+q\displaystyle p+q
Dp\displaystyle p or q\displaystyle q
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Correct Answer

✅ Option c — p+q\displaystyle p+q

All Options:

  • Ap\displaystyle p
  • Bpq\displaystyle pq
  • Cp+q\displaystyle p+q
  • Dp\displaystyle p or q\displaystyle q

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Detailed Solution & Explanation

**Conditional distributions in a ptimesq\displaystyle p \\times q bivariate table:** In a bivariate frequency table with p\displaystyle p rows (for variable X\displaystyle X) and q\displaystyle q columns (for variable Y\displaystyle Y): **Conditional distributions of Y\displaystyle Y given each value of X\displaystyle X:** - There are p\displaystyle p such distributions (one per row) - Each gives the distribution of Y\displaystyle Y for a fixed X\displaystyle X value **Conditional distributions of X\displaystyle X given each value of Y\displaystyle Y:** - There are q\displaystyle q such distributions (one per column) - Each gives the distribution of X\displaystyle X for a fixed Y\displaystyle Y value **Total maximum conditional distributions** =p+q\displaystyle = p + q For a ptimesq\displaystyle p \\times q table: textMaximumconditionaldistributions=p+q\\text{Maximum conditional distributions} = p + q Hence, **Option C** 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.

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Correlation vs Regression: Statistics for CA Foundation

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