Question

The approximate line of best fit for the given data points, y = −2x − 2, is shown on the graph.



A graph shows the horizontal axis numbered negative 5 to positive 5 and the vertical axis numbered negative 5 to positive 5. Points and a line show a downward trend.

Which is the residual value when x = –2?

–2
–1
1
2

Answer 1

Residual = observed y − predicted y. For x = −2 the line gives ŷ = −2(−2) − 2 = 4 − 2 = 2. The plotted point at x = −2 has y = 0, so residual = 0 − 2 = −2. Answer: −2.