Practice Definition - 16.3.1 | 16. Covariance and Correlation | Mathematics - iii (Differential Calculus) - Vol 3
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Definition

16.3.1 - Definition

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Practice Questions

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Question 1 Easy

What does a positive covariance indicate?

💡 Hint: Think about the behavior of the variables.

Question 2 Easy

What is the range of the correlation coefficient?

💡 Hint: Consider the extremes in terms of relationships.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does a covariance of 0 indicate?

Positive relationship
Negative relationship
No linear relationship

💡 Hint: Consider what zero implies about direction.

Question 2

True or False: A correlation of -1 indicates a perfect positive correlation.

True
False

💡 Hint: Recall how the scale of correlation works.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given two random variables, X = {5, 10, 15} and Y = {1, 2, 3}, compute both the covariance and correlation and assess the strength of their relationship.

💡 Hint: Use standard deviation and means in your calculations.

Challenge 2 Hard

In a real-world scenario, how would you interpret a high positive correlation between temperature and ice cream sales?

💡 Hint: Consider the practical implications of seasonal businesses.

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