Practice Covariance vs Correlation - 16.5 | 16. Covariance and Correlation | Mathematics - iii (Differential Calculus) - Vol 3
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Covariance vs Correlation

16.5 - Covariance vs Correlation

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does a positive covariance indicate?

💡 Hint: Think about how two variables can move together.

Question 2 Easy

Is correlation a dimensionless value?

💡 Hint: Consider the range of correlation values.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the range of values of correlation?

-1 to 1
-∞ to ∞
0 to 1

💡 Hint: Think about how correlation is measured and the meaning of its extremes.

Question 2

True or False: Covariance can be a negative number.

True
False

💡 Hint: Recall how covariance describes variable interactions.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A dataset comprises the following observations for two variables: A = {10, 20, 30, 40} and B = {5, 10, 15, 20}. Calculate the covariance and the correlation between A and B.

💡 Hint: Apply the covariance and correlation formulas carefully, ensuring to calculate means first.

Challenge 2 Hard

How might covariance apply differently when analyzing stock returns of two companies versus analyzing temperature variation and ice cream sales?

💡 Hint: Reflect on real-life implications of variable relationships.

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