Question

Consider the table showing the given, predicted, and residual values for a data set.

A 4-column table with 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled given with entries negative 1.6, 2.2, 4.5, 6.1. The third column is labeled predicted value with entries negative 1.2, 1.5, 4.7, 6.7. The fourth column is labeled residual value with entries negative 0.4, 0.7, negative 0.2, negative 0.6.

Which point would be on the residual plot of the data?

(1, -1.6)
(2, 1.5)
(3, 4.5)
(4, -0.6)

Answer 1

(4, -0.6)

Residual plots show (x, residual). For x = 4 the residual = observed − predicted = 6.1 − 6.7 = −0.6, so the point is (4, −0.6).