Correlation and RegressionPYQ May 25Question 4393 of 188
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If r=0.7\displaystyle r = 0.7 then co-efficient of non-determination is

Options

A0.49
B0.51
CZero
D0.71
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Correct Answer

✅ Option b — 0.51

All Options:

  • A0.49
  • B0.51
  • CZero
  • D0.71

Detailed Solution & Explanation

Let us define the coefficient of determination and non-determination:
1. The **coefficient of determination** is the square of the correlation coefficient, denoted by r2\displaystyle r^2. Given r=0.7\displaystyle r = 0.7:
Coefficient of Determination=r2=(0.7)2=0.49\text{Coefficient of Determination} = r^2 = (0.7)^2 = 0.49 2. The **coefficient of non-determination** represents the proportion of unexplained variance and is given by:
Coefficient of Non-determination=1−r2\text{Coefficient of Non-determination} = 1 - r^2 Substituting the value of r2\displaystyle r^2:
Coefficient of Non-determination=1−0.49=0.51\text{Coefficient of Non-determination} = 1 - 0.49 = 0.51
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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