Question

Consider the graph of the line of best fit, y = 0.5x + 1, and the given data points.

A graph shows the horizontal axis numbered negative 4 to positive 4 and the vertical axis numbered negative 4 to positive 4. Points show an upward trend.
Which is the residual value when x = 2?

–2
–1
1
2

Answer 1

Predicted y at x = 2 is y = 0.5(2) + 1 = 2. The plotted point at x = 2 has y = 1, so the residual = observed − predicted = 1 − 2 = −1.