MYP Extended Mathematics Covariance and Correlation Questionbank

Calculate the covariance $s_{xy}$ for the following four pairs of data: $(1, 2), (2, 1), (3, 2), (4, 1)$.

Consider a small data set with three pairs of observations: $(1, 2), (2, 4), (3, 6)$. Find the covariance $s_{xy}$ of this data set.

If most points in a scatter plot lie in the Top Left Quadrant (TLQ) and the Bottom Right Quadrant (BRQ) relative to the mean point, the covariance $s_{xy}$ will most likely be:

True or False: If the Pearson correlation coefficient between two variables is $r = 0$, it guarantees that there is no relationship of any kind between the variables.

True or False: A scatter plot that has a very steep line of best fit will always have a correlation coefficient closer to 1 than a plot with a shallow line of best fit.