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

points and their residual values are shown in the table. which point is farthest from the line of best fit?\n| x | y | residual |\n|----|----|----|\n| 1 | 3.3 | 0.68 |\n| 2 | 5 | 0.04 |\n| 3 | 6.2 | -1.1 |\n| 4 | 9 | -0.64 |\n| 5 | 13 | 1.02 |

points and their residual values are shown in the table. which point is farthest from the line of best fit?\n| x | y | residual |\n|----|----|----|\n| 1 | 3.3 | 0.68 |\n| 2 | 5 | 0.04 |\n| 3 | 6.2 | -1.1 |\n| 4 | 9 | -0.64 |\n| 5 | 13 | 1.02 |

Answer

Answer:

$(3, 6.2)$

Explanation:

Step1: Recall residual concept

The magnitude of the residual represents the vertical distance from the point to the line of best - fit.

Step2: Find absolute values of residuals

$|0.68| = 0.68$, $|0.04|=0.04$, $|- 1.1| = 1.1$, $|-0.64| = 0.64$, $|1.02| = 1.02$.

Step3: Compare absolute values

Since $1.1>1.02 > 0.68>0.64 > 0.04$, the point with the largest residual magnitude is the one with $x = 3$ and $y = 6.2$.