Question

a data set is shown in the table. the line of best fit modeling the data is y = 2.69x - 7.95. what is the residual value when x = 3? -0.12 0.12 0.88 -0.88

Explanation:

Step1: Calculate predicted y

When $x = 3$, $y_{predicted}=2.69\times3 - 7.95=8.07 - 7.95 = 0.12$.

Step2: Calculate residual

Residual = $y_{actual}-y_{predicted}$. From table, when $x = 3$, $y_{actual}=1.0$. So residual = $1.0 - 0.12=0.88$.

Answer:

$0.88$