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: If $r = -1$ , all the points in the scatter plot lie exactly on a straight line with a negative gradient.

Which of the following is NOT a required step in the organized workflow for computing $r$ from a table of paired values $(x, y)$ as described in the text?

Why is the Pearson correlation coefficient $r$ described as 'unit-free'?

Which of the following scenarios describes a 'third variable' explanation for correlation?

MYP MYP Extended Mathematics Topic Correlation Questionbank

Practice MYP MYP Extended Mathematics Topic Correlation with authentic exam-style questions for both SL and HL students. This question bank focuses on the exact syllabus content for Correlation and mirrors Paper 1, 2 style where relevant.

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True

False

True

False

Computing the standard deviations $\sigma_x$ and $\sigma_y$

Calculating the median of the $x$ and $y$ values

Computing the means $\bar{x}$ and $\bar{y}$

Finding the sum of the products $\sum xy$

Because it is standardized by dividing the covariance by the standard deviations of both variables.

Because it is calculated using the number of pairs $n$ rather than the values themselves.

Because it only applies to survey scores which have no physical units.

Because the values of $x$ and $y$ must always be the same type of measurement.

Ice cream sales and drowning incidents both increase in summer because higher temperatures affect both.

A car drives a longer distance and consumes more fuel as a result.

Two variables have a correlation of $r=0$ because they are completely independent.

A student studies more hours and receives higher grades because the studying caused the grades.