Correlation and RegressionMCQPYQ May 18Question 3616 of 188
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Speed of an automobile and the distance required to stop the car after applying brakes correlation is

Options

APositive
BNegative
CZero
DNone of these
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Correct Answer

✅ Option a — Positive

All Options:

  • APositive
  • BNegative
  • CZero
  • DNone of these

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Detailed Solution & Explanation

**Analysis of the relationship:** As the **speed** of an automobile increases, the **distance required to stop** (braking distance) also increases. This is because: - At higher speeds, the kinetic energy =12mv2\displaystyle = \frac{1}{2}mv^2 is greater - More distance is needed to dissipate this energy through braking - Braking distance ∝v2\displaystyle \propto v^2 (speed squared) Since both variables (speed and stopping distance) move in the **same direction** — both increase together — this is a case of **positive correlation**. Note: The given `correct_option` field says 'b' (Negative), but this is incorrect. Physically, higher speed requires longer stopping distance, so the correlation is **Positive**. Hence, **Option A** 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.

Key Concepts to Understand

Correlation

A statistical measure that expresses the extent to which two variables are linearly related.

Related Comparison Tables

Correlation vs Regression: Statistics for CA Foundation

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