Question

interpreting the magnitude of residuals
points and their residual values are shown in the table. which point is farthest from the line of best fit?

Explanation:

Step1: Calculate absolute values of residuals

$$\begin{align*} |0.68|&= 0.68\\ |0.04|&=0.04\\ |-1.1|&=1.1\\ |-0.64|&=0.64\\ |1.02|&=1.02 \end{align*}$$

Step2: Compare absolute values

Compare \(0.68\), \(0.04\), \(1.1\), \(0.64\), \(1.02\). The largest value is \(1.1\) which corresponds to \(x = 3\)

Answer:

\((3,6.2)\)