Question

Points and their residual values are shown in the table. Which point is farthest from the line of best fit?

Answer 1

3

6.2

hope it helps everyone

Answer 2

Answer:

$(3,6.2)$

Step-by-step explanation:

Residual value the difference between the observed value of the dependent variable and the predicted value is called the residual.

Residual , $R=O-P$, where R is the residual value, O, is the observed value, and P is the predicted value. The sum and the mean of the residuals are equal to zero.

Now, we can see that the biggest magnitude of the difference is of $-1.1$ and $-1.1$ is at the point $(3,6.2)$.  ($\left | -1.1 \right |=1.1$)

Therefore, the point farthest from the line of best fit is the one whose magnitude of residual value is the most and in this case that point is $(3,6.2)$.