Correlation and RegressionMCQPYQ July 21Question 3710 of 188
All Questions

If byx=−1.6\displaystyle b_{yx} = -1.6, bxy=−0.4\displaystyle b_{xy} = -0.4 then rxy\displaystyle r_{xy} will be:

Options

A0.4
B-0.8
C0.64
D0.8
For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option b — -0.8

All Options:

  • A0.4
  • B-0.8
  • C0.64
  • D0.8

Ad

Detailed Solution & Explanation

We are given the regression coefficients: byx=−1.6andbxy=−0.4b_{yx} = -1.6 \quad \text{and} \quad b_{xy} = -0.4 The correlation coefficient rxy\displaystyle r_{xy} is related to the regression coefficients by the formula: rxy=±byx×bxyr_{xy} = \pm \sqrt{b_{yx} \times b_{xy}} A fundamental property of regression coefficients is that byx\displaystyle b_{yx}, bxy\displaystyle b_{xy}, and rxy\displaystyle r_{xy} must all have the same sign. Since both byx\displaystyle b_{yx} and bxy\displaystyle b_{xy} are negative, rxy\displaystyle r_{xy} must also be negative: rxy=−(−1.6)×(−0.4)r_{xy} = -\sqrt{(-1.6) \times (-0.4)} rxy=−0.64=−0.8r_{xy} = -\sqrt{0.64} = -0.8 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.

Related Comparison Tables

Correlation vs Regression: Statistics for CA Foundation

More Questions from Correlation and Regression

The correlation co-efficient between X and Y is 0.8. If we add a number 10 in the X variable and subtracted 20 from Y variable, then the new correlation co-efficient will be -

When both the regression co-efficients are bxy=0.7\displaystyle b_{xy} = 0.7 and byx=0.8\displaystyle b_{yx} = 0.8, respectively, then correlation co-efficient between x and y is

For 9 college students group, the sum of squares of differences in ranks for History and Hindi marks was found to be 62, then what is the value of rank correlation co-efficient?

If r=0.7\displaystyle r = 0.7 then co-efficient of non-determination is

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

For a group of students, the sum of squares of differences in ranks for Maths and Physics marks are found to be 60, which is 120 times the value of rank correlation coefficient. How many students are there in the group?

Ready to Master Correlation and Regression?

Practice all 188 questions with instant feedback, earn XP, track your streaks, and ace your CA Foundation exam.

Start Practicing — It's Free