Question

Help please !

Use a calculator to find the correlation coefficient of the data set

Answer 1

The correlation coefficient of the data set is -0.985

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:
`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)} } $`

Using calculator

r =-0.985

So, Option C is true

Hence the correlation coefficient of the data set is -0.985