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

Answer:

D. 8

Explanation:

Step1: Recall the concept of residual

The residual is the vertical distance from a data - point to the line of best fit. We want to find the largest absolute value of the residuals.

Step2: Find absolute values of given residuals

For - 0.4, $| - 0.4|=0.4$; for 0.7, $|0.7| = 0.7$; for - 0.2, $| - 0.2|=0.2$; for 0.19, $|0.19| = 0.19$; for - 0.6, $| - 0.6|=0.6$. Among the values 0.19, 0.7, 2, 8, the largest value is 8. So the residual value that is the farthest from the line of best fit is 8.