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 x y 1 -5.1 2 -3.2 3 1.0 4 2.3 5 5.6

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 x y 1 -5.1 2 -3.2 3 1.0 4 2.3 5 5.6

Answer

Explanation:

Step1: Find predicted value

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

Step2: Find residual value

Residual = Observed - Predicted. When $x = 3$, observed $y = 1.0$. Residual $=1.0 - 0.12=0.88$

Answer:

0.88