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 |\no 0.19\no 0.7\no 2\no 8
Answer
Explanation:
Step1: Find absolute - value of each residual
We need to find the absolute - value of each residual value in the table to determine which one is the largest. The absolute - value of a number $a$ is given by $|a|$. $|-0.4| = 0.4$, $|0.7| = 0.7$, $|-0.2| = 0.2$, $|0.19| = 0.19$, $|-0.6| = 0.6$.
Step2: Compare the absolute - values
We compare the values $0.4$, $0.7$, $0.2$, $0.19$, $0.6$ with the given options $0.19$, $0.7$, $2$, $8$. Among the values from the table and the options, the largest value is $8$.
Answer:
8