What is the r-value of the following data, to three decimal places

Answer:The correlation coefficient is A. -0.985.Step-by-step explanation:The correlation coefficient r measures the direction and strength of a linear relationship. It always has a value between -1, and 1. Strong positive linear relationships have values of r closer to 1. Strong negative linear relationships have values of r closer to -1. Weaker relationships have values of r closer to 0.To find the r-value of the following data:                                            [tex]\left\begin{array}{c|ccccccc}X&5&7&10&15&19\\Y&19&17&16&12&7\end{array}\right[/tex]Step 1: Find [tex]X\cdot Y[/tex], [tex]X\cdot X[/tex] and [tex]Y\cdot Y[/tex] as it was done in the table below.Step 2: Find the sum of every column as it was done in the first image below.Step 3: Use the following formula to work out the correlation coefficient as it was done in the second image below.