Hello!
The residual for the point (5,1) is
To calculate residuals, we need to calculate the value of the line of best fit in the same x coordinate as the point we want to study to know the Predicted-y-value. To do so, we make the substitution of 5 into the equation:
[tex]y=-0,2x+1,8 \\ y=-0,2*(5)+1,8=0,8[/tex]
Now we determine the residual with the following equation:
[tex]Residual=yobs-ypred=1-0,8=0,2[/tex]
Have a nice day!
