Answer:
The correlation coefficient of the data set is -0.985
Step-by-step explanation:
We are supposed to find the correlation coefficient of the given data
x y
5 19
7 17
10 16
15 12
19 7
Formula: [tex]r ={\frac{n \sum_{i=1}^n x_i y_i - \sum_{i=1}^n x_i \sum_{i=1}^n y_i}{\sqrt {(n \sum_{i=1}^n x_i^2 - (\sum_{i=1}^n x_i)^2)(n \sum_{i=1}^n y_i^2 - (\sum_{i=1}^n y_i)^2)} } $[/tex]
Using calculator
r =-0.985
So, Option C is true
Hence the correlation coefficient of the data set is -0.985
