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

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 class=

Verified Answer :

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).

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