MYP Extended Mathematics Topic Covariance Questionbank

Question 1

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

Question 2

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

Question 3

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 $s_{x y}$ will most likely be:

Question 4

A researcher is studying the relationship between the number of hours spent studying ( $x$ ) and exam scores ( $y$ ). If $\sum x = 40$ , $\sum y = 320$ , $\sum x y = 2650$ , and $n = 5$ , calculate the covariance $s_{x y}$ .

Question 5

A dataset has a covariance of $s_{x y} = - 42$ . This indicates that the sum of the products of deviations $(x_{i} - \overset{x}{ˉ}) (y_{i} - \overset{y}{ˉ})$ is dominated by points in which quadrants relative to the mean point?

MYP Extended Mathematics Covariance Questionbank

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MYP Extended Mathematics Covariance Questionbank

MYP MYP Extended Mathematics Topic Covariance Questionbank

Unlock all 27 questions with a free account