Final answer:
The sample covariance is unbiased because its expected value is equal to the population covariance.
Step-by-step explanation:
The sample covariance is a measure of how two variables vary together. To prove that the sample covariance is unbiased, we need to show that its expected value is equal to the population covariance.
The expected value of the sample covariance is given by:
E(Sxy) = Cov(X,Y)
Where Sxy is the sample covariance and Cov(X,Y) is the population covariance. Since the sample covariance is an unbiased estimator of the population covariance, we can conclude that it is unbiased.