16.6 - Worked Example
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Practice Questions
Test your understanding with targeted questions
What does a positive covariance indicate?
💡 Hint: Remember the direction of change in variables.
What is the range of possible correlation values?
💡 Hint: Think about the extremes of relationships.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does a correlation coefficient of 1 mean?
💡 Hint: Think about how correlation ranges from -1 to 1.
Covariance can have which values?
💡 Hint: Consider what varies between the variables.
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Challenge Problems
Push your limits with advanced challenges
Given datasets C = {10, 20, 30, 40} and D = {15, 25, 35, 50}, calculate the covariance and explain its significance.
💡 Hint: Calculate means first and use the formula for covariance.
For the datasets E = {1, 0, 0, 1} and F = {0, 1, 1, 0}, find the covariance. Discuss how this reflects their relationship.
💡 Hint: Pay attention to how one dataset responds to the other.
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