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…

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? -0.88 -0.12 0.12 0.88

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? -0.88 -0.12 0.12 0.88

Answer

Explanation:

Step1: Calculate predicted y - value

Substitute $x = 3$ into $y = 2.69x-7.95$. $y_{predicted}=2.69\times3 - 7.95$ $y_{predicted}=8.07 - 7.95=0.12$

Step2: Calculate residual value

Residual = $y_{actual}-y_{predicted}$. When $x = 3$, $y_{actual}=1.0$. Residual = $1.0 - 0.12 = 0.88$

Answer:

$0.88$