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?\n| x | y |\n|----|----|\n| 1 | -5.1 |\n| 2 | -3.2 |\n| 3 | 1.0 |\n| 4 | 2.3 |\n| 5 | 5.6 |\n-0.88\n-0.12\n0.12\n0.88

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?\n| x | y |\n|----|----|\n| 1 | -5.1 |\n| 2 | -3.2 |\n| 3 | 1.0 |\n| 4 | 2.3 |\n| 5 | 5.6 |\n-0.88\n-0.12\n0.12\n0.88

Answer

Explanation:

Step1: Calculate predicted y - value

When (x = 3), substitute (x) into (y=2.69x - 7.95). (y_{predicted}=2.69\times3 - 7.95) (y_{predicted}=8.07 - 7.95=0.12)

Step2: Find actual y - value

From the table, when (x = 3), (y_{actual}=1.0)

Step3: Calculate residual

Residual (=y_{actual}-y_{predicted}) Residual (=1.0 - 0.12 = 0.88)

Answer:

0.88