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4 cards from this section. Quick, good the night before a test.
What does a covariance of zero imply about two random variables?
Think about their linear relationship.
Write the formula for covariance.
Consider what the expected values imply.
What does a covariance of zero indicate about two random variables?
Focus on their relationship in terms of correlation.
If Cov(X, Y) > 0, what does this signify?
Consider how the variables influence each other.
Given the dataset X = [2, 4, 6] and Y = [1, 3, 5], calculate Cov(X, Y) and discuss its implications.
Use the covariance formula and fill in steps for clarity.
Discuss how covariance changes if we double the values of variable Y in the previous challenge problem. Calculate the new covariance.
Calculate each step and see how the multiplication affects the covariance.
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