points and their residual values are shown in the table. which residual value is the farthest from the line…

points and their residual values are shown in the table. which residual value is the farthest from the line of best fit?\n| x | y | residual |\n|----|----|----| \n| 1 | 2 | -0.4 |\n| 2 | 3.5 | 0.7 |\n| 3 | 5 | -0.2 |\n| 4 | 6.1 | 0.19 |\n| 5 | 8 | -0.6 |\n0.19\n0.7\n2\n8

points and their residual values are shown in the table. which residual value is the farthest from the line of best fit?\n| x | y | residual |\n|----|----|----| \n| 1 | 2 | -0.4 |\n| 2 | 3.5 | 0.7 |\n| 3 | 5 | -0.2 |\n| 4 | 6.1 | 0.19 |\n| 5 | 8 | -0.6 |\n0.19\n0.7\n2\n8

Answer

Explanation:

Step1: Find absolute - value of residuals

We need to find the absolute - value of each residual value in the table. For the first residual $-0.4$, $| - 0.4|=0.4$; for the second residual $0.7$, $|0.7| = 0.7$; for the third residual $-0.2$, $| - 0.2|=0.2$; for the fourth residual $0.19$, $|0.19| = 0.19$; for the fifth residual $-0.6$, $| - 0.6|=0.6$.

Step2: Compare absolute - values

We compare the absolute - values: $0.19<0.2<0.4<0.6<0.7$.

Answer:

$0.7$