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

-1 is the answer......

Answer 2

The residual value when x=2 is -1

Explanation:

The difference between the observed value of the dependent variable and the predicted value is called the residual (e). Every data point has one residual. Lesser the residual value, better the best fit line is.

Mathematically,

`e = y-\hat y`

Here from the graph,

the observed value is 2, so y=1

the predicted value is 0.5(2)+1 = 1+1 = 2, so
`\hat y=2`

Putting the values,

`e = 1-2=-1`