Question

Use the table to find the residual points.

A 4-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries negative 0.7, 2.3, 4.1, 7.2, 8. The third column is labeled predicted value with entries negative 0.28, 1.95, 4.18, 6.41, 8.64. The fourth column is labeled residual value with all entries blank.

Which residual plot is the correct one for the data?

A graph shows the horizontal axis numbered negative 1 to positive 7 and the vertical axis numbered negative 1.5 to positive 1.5. Points are scattered all over the graph.
A graph shows the horizontal axis numbered negative 1 to positive 7 and the vertical axis numbered negative 1.5 to positive 1.5. Points are scattered all over the graph.
A graph shows the horizontal axis numbered negative 1 to positive 7 and the vertical axis numbered negative 1.5 to positive 1.5. Points are scattered all over the graph.
A graph shows the horizontal axis numbered negative 1 to positive 7 and the vertical axis numbered negative 1.5 to positive 1.5. Points are scattered all over the graph.

Answer 1

Residual = given − predicted.

Compute each:
- x=1: r = −0.7 − (−0.28) = −0.42
- x=2: r = 2.3 − 1.95 = 0.35
- x=3: r = 4.1 − 4.18 = −0.08
- x=4: r = 7.2 − 6.41 = 0.79
- x=5: r = 8 − 8.64 = −0.64

So the residual points are (1, −0.42), (2, 0.35), (3, −0.08), (4, 0.79), (5, −0.64). Choose the residual plot that shows those five points.