Practice Formula (16.3.2) - Covariance and Correlation - Mathematics - iii (Differential Calculus)

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6 sample questions

Question 1.
What is the formula for covariance?
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Consider the expected value and average deviations.
Question 2.
What does a positive covariance indicate?
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Think about how two variables relate to each other.
3Question 3.
What is the possible range of covariance?
- -1 to 1
- 0 to 1
- -∞ to ∞
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Consider how variables can differ broadly.
4Question 4.
True or False: A correlation of 1 indicates a perfect negative correlation.
- True
- False
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Think about the direction of the relationship.
Question 5.
A dataset represents heights (in cm) of individuals: {150, 160, 170, 180}. Another dataset gives weights (in kg): {50, 60, 70, 80}. Calculate the covariance and correlation.
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Start by finding the averages and then apply the formulas.
Question 6.
Discuss how correlation can be misleading in determining relationships, using an example from public health.
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Consider third variables that could influence the correlation.

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