Question

Maria gathered the data in the table. She finds the line of best fit to be y = 2.78x – 4.4.

A 2-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 negative 2, 1.3, 4.2, 7.3, 8.9.
What is the residual value when x = 4?

–6.72
–0.58
0.58
6.72

Answer 1

Residual = observed y − predicted y. Predicted at x=4: 2.78(4) − 4.4 = 6.72.
Residual = 7.3 − 6.72 = 0.58.