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

Answer 2

Residual is the difference between values of y. The residual value when x=2 is 1.

What is Residual?

The discrepancy between expected and actual values of y (dependent variable) is the residual for each observation.

Residual = Actual y value − Predicted y

The residual value is the difference between the value of y that is predicted by the function and the value that is actually plotted on the graph.

Now, according to the function, the value of y when the value of x is 2 can be written as,

$y=0.5x+1\\\\y=0.5(2)+1\\\\y=1+1\\\\y=2$

Further, the value of y according to the graph, when the value of x=2  is 1.

Thus, the residual value when x=2 is -1 (1-2.)

Learn more about Residual:

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