Correlation and RegressionMCQMTP March 2021Question 3769 of 188
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The coefficient of two variables is 0.9\displaystyle 0.9, then coefficient of non-determination is

Options

A0.9\displaystyle 0.9
B0.19\displaystyle 0.19
C0.81\displaystyle 0.81
D0.1\displaystyle 0.1
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Correct Answer

Option b0.19\displaystyle 0.19

All Options:

  • A0.9\displaystyle 0.9
  • B0.19\displaystyle 0.19
  • C0.81\displaystyle 0.81
  • D0.1\displaystyle 0.1

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Detailed Solution & Explanation

We are given the coefficient of correlation, r=0.9\displaystyle r = 0.9. 1. The coefficient of determination is defined as r2\displaystyle r^2: r2=(0.9)2=0.81r^2 = (0.9)^2 = 0.81 2. The coefficient of non-determination is defined as the proportion of variation in the dependent variable that is unexplained by the independent variable, which is given by: textCoefficientofnondetermination=1r2\\text{Coefficient of non-determination} = 1 - r^2 Substitute the value of r2\displaystyle r^2 into the formula: textCoefficientofnondetermination=10.81=0.19\\text{Coefficient of non-determination} = 1 - 0.81 = 0.19 Thus, the coefficient of non-determination is 0.19\displaystyle 0.19. 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.

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