Question

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

Explanation:

Step1: Recall residual meaning

Residual is the vertical distance from a point to the line of best fit. The larger the absolute value of the residual, the farther the point is from the line.

Step2: Calculate absolute residuals

• For (1, 3.3): \(|0.68| = 0.68\)
• For (2, 5): \(|0.04| = 0.04\)
• For (3, 6.2): \(|-1.1| = 1.1\)
• For (4, 9): \(|-0.64| = 0.64\)
• For (5, 13): \(|1.02| = 1.02\)

Step3: Compare absolute values

Compare 0.68, 0.04, 1.1, 0.64, 1.02. The largest is 1.1, corresponding to the point (3, 6.2).

Answer:

(3, 6.2)