Question

A data set is shown in the table. The line of best fit modeling the data is y = 2.69x – 7.95.


What is the residual value when x = 3?


A.–0.88

B.–0.12

C.0.12

D.0.88

Answer 1

the answer is D.) 0.88

Answer 2

Residual is the difference between values of y. The residual value when x=3 is 0.88 (1-0.12).

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 3 can be written as,

$y=2.69x-7.95\\\\y=2.69(3)-7.95\\\\y=8.07-7.95\\\\y=0.12$

Further, the value of y according to the graph, when the value of x=3  is 1.

Thus, the residual value when x=3 is 0.88 (1-0.12).

Learn more about Residual:

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