Question

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

Which is the residual value when x = 2?


A.–2

B.–1

C.1

D.2

Answer 1

The residual value is the vertical distance between the observed value and the predicted value. In other words,

residual value = point in scatter plot - point in the line of best fit

When
`x=2`, the corresponding scatter plot point is at
`y=1` and the corresponding point in the line of best fit is
`y=2` [can be seen from the graph]

Hence,

residual value =
`1-2=-1`. Answer choice B is correct.

ANSWER: B