Correlation and RegressionMCQMTP May 19Question 3736 of 188
All Questions

If r=0.6\displaystyle r = 0.6 then the coefficient of non-determination

Options

A0.4\displaystyle 0.4
B0.6\displaystyle 0.6
C0.36\displaystyle 0.36
D0.64\displaystyle 0.64
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Correct Answer

✅ Option d — 0.64\displaystyle 0.64

All Options:

  • A0.4\displaystyle 0.4
  • B0.6\displaystyle 0.6
  • C0.36\displaystyle 0.36
  • D0.64\displaystyle 0.64

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Detailed Solution & Explanation

**Given Data:** - Coefficient of correlation, r=0.6\displaystyle r = 0.6 **Step 1: Calculate the Coefficient of Determination (r2\displaystyle r^2)** The coefficient of determination represents the proportion of the variance in the dependent variable that is predictable from the independent variable: textCoefficientofDetermination=r2=(0.6)2=0.36\\text{Coefficient of Determination} = r^2 = (0.6)^2 = 0.36 **Step 2: Calculate the Coefficient of Non-Determination** The coefficient of non-determination represents the proportion of variance that is unexplained: textCoefficientofNon−Determination=1−r2\\text{Coefficient of Non-Determination} = 1 - r^2 textCoefficientofNon−Determination=1−0.36=0.64\\text{Coefficient of Non-Determination} = 1 - 0.36 = 0.64 **Note on Typo:** The source file lists Option C (0.36\displaystyle 0.36) as correct, which actually represents the coefficient of determination. The question asks for the coefficient of non-determination, which is 0.64\displaystyle 0.64 (Option D). Hence, **Option D** 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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