1) In this question, we can start setting our table:
2) Now let's find the regression line by finding the slope and the linear coefficient, according to these formulas below:
So

Therefore we can write the regression line as:

3) Now let's find the correlation coefficient through another formula:
![\begin{gathered} r=\frac{n\Sigma xy\text{ - (}\Sigma x)(\Sigma y)}{\sqrt[]{\lbrack n(\Sigma x)^2-(\Sigma x)^2\lbrack}n\Sigmay^2-\Sigmay^2)\text{ }} \\ r=\frac{6*41.86-12.3*24.2}{\sqrt[]{(6*(12.3)^2)(6*(24.2)^2-24.2)}} \\ r=-0.0261 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/x4l62b3vh2p54b7ekfg51dz9rj23zdhgjr.png)