Question

A set of data points has a line of best fit of y=-0.2x+1.8. What is the residual for the point (5,1)?

Answer 1

Answer:

0.2

Step-by-step explanation:

Answer 2

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:

$y=-0,2x+1,8 \\ y=-0,2*(5)+1,8=0,8$

Now we determine the residual with the following equation:

$Residual=yobs-ypred=1-0,8=0,2$

Have a nice day!