Practice Summary - 16.8 | 16. Covariance and Correlation | Mathematics - iii (Differential Calculus) - Vol 3
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Summary

16.8 - Summary

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Learning

Practice Questions

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Question 1 Easy

Define covariance in your own words.

💡 Hint: Think about how variables interact.

Question 2 Easy

What does a covariance of zero imply?

💡 Hint: Consider what happens when variables are unrelated.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does a negative covariance indicate?

A direct relationship
An inverse relationship
No relationship

💡 Hint: Think about how variables may move in different directions.

Question 2

Is correlation always between -1 and 1?

True
False

💡 Hint: Consider the definitions of correlation.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given two datasets, A = {4, 5, 6} and B = {10, 20, 30}, calculate both covariance and correlation. What insights can you derive from the values?

💡 Hint: Remember to calculate means first and consider the relationship between data when deriving insights.

Challenge 2 Hard

If the correlation coefficient between two variables is -0.9, what does that imply about their relationship? Can you construct a hypothetical dataset that fits this correlation?

💡 Hint: Try sketching out the data points and observe how they trend together!

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