1. Let's start by stating the problem: We want to calculate Pearson's correlation coefficient, denoted as $r$, which measures the linear relationship between two variables. 2. The formula for Pearson's $r$ is: $$r = \frac{n\sum xy - \sum x \sum y}{\sqrt{(n\sum x^2 - (\sum x)^2)(n\sum y^2 - (\sum y)^2)}}$$ where: - $n$ is the number of paired data points, - $x$ and $y$ are the individual data points of the two variables, - $\sum$ denotes summation over all data points. 3. Important rules: - $r$ ranges from $-1$ to $1$. - $r = 1$ means perfect positive linear correlation. - $r = -1$ means perfect negative linear correlation. - $r = 0$ means no linear correlation. 4. To solve for $r$, you need the data points for $x$ and $y$. Calculate the sums $\sum x$, $\sum y$, $\sum xy$, $\sum x^2$, and $\sum y^2$, then plug into the formula. 5. Without specific data, we cannot compute a numeric answer. Please provide the paired data points to proceed with the calculation.