Correlation and RegressionMCQMTP Dec 2023 Series I/ MTP Sep 2024 IQuestion 3772 of 188
All Questions

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

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 d0.64\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

We are given the coefficient of correlation, r=0.6\displaystyle r = 0.6. 1. The coefficient of determination, which measures the explained variation, is: r2=(0.6)2=0.36r^2 = (0.6)^2 = 0.36 2. The coefficient of non-determination, which measures the unexplained variation, is: textCoefficientofnondetermination=1r2\\text{Coefficient of non-determination} = 1 - r^2 Substitute r2=0.36\displaystyle r^2 = 0.36 into the formula: textCoefficientofnondetermination=10.36=0.64\\text{Coefficient of non-determination} = 1 - 0.36 = 0.64 Thus, the coefficient of non-determination is 0.64\displaystyle 0.64. 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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