Question

Jace gathered the data in the table. He found the approximate line of best fit to be y = –0.7x + 2.36.

A 2-column table with 5 rows. The first column is labeled x with entries 0, 1, 4, 5, 7. The second column is labeled y with entries 3, 1, 0, negative 2, negative 2.

What is the residual value when x = 5?

–3.14
–0.86
0.86
3.14

Answer 1

Predicted y at x=5: y = -0.7(5) + 2.36 = -1.14.
Residual = observed − predicted = -2 − (-1.14) = -0.86.

Answer: −0.86