Correlation and RegressionPYQ May 25Question 4234 of 179
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Given x=2y+4\displaystyle x = 2y + 4 and y=kx+6\displaystyle y = kx + 6 are the two lines of regression x on y and y on x respectively. If the value of correlation co-efficient (r) is 0.5, then the value of k is

Options

A18\displaystyle \frac{1}{8}
B14\displaystyle \frac{1}{4}
C13\displaystyle \frac{1}{3}
D12\displaystyle \frac{1}{2}
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Correct Answer

✅ Option a — 18\displaystyle \frac{1}{8}

All Options:

  • A18\displaystyle \frac{1}{8}
  • B14\displaystyle \frac{1}{4}
  • C13\displaystyle \frac{1}{3}
  • D12\displaystyle \frac{1}{2}

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.

Regression

A statistical method used for estimating the relationships between a dependent variable and one or more independent variables.

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