Question

Points and their residual values are shown in the table.

A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries 2, 3.5, 5, 6.1, 8. The third column is labeled residual value with entries negative 0.4, 0.7, negative 0.2, negative 0.6.

Which residual value is the farthest from the line of best fit?

0.19
0.7
2
8

Answer 1

Residuals measure vertical distance from the line (use absolute value). The residuals given are 0.4, 0.7, 0.2, 0.6 in magnitude, so the largest is 0.7. Answer: 0.7.