16.7 - Applications in Engineering
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Practice Questions
Test your understanding with targeted questions
What is covariance?
💡 Hint: Think about how changes in one variable relate to changes in another.
What value range does correlation fall in?
💡 Hint: Consider the telling extremes of a relationship.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does a positive covariance indicate?
💡 Hint: Think about how two variables can move together.
Correlation values range from:
💡 Hint: Recall the extremes of correlation.
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Challenge Problems
Push your limits with advanced challenges
Given two datasets from two different production lines, X = {10, 20, 30} and Y = {5, 15, 25}, calculate the covariance and interpret its meaning.
💡 Hint: Consider the means of both data sets.
In a financial portfolio, if Asset A has a return of {2, 3, 4} and Asset B has a return of {1, 5, 10}, evaluate and interpret the correlation.
💡 Hint: Your calculations should reflect their connectedness in terms of risk and return.
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