Question

the line of best fit to model the data in the table is ( y = 5.2x - 0.4 ).
what is the residual for 5?
-1.6
-0.6
0.6
1.6

Explanation:

Step1: Calculate the predicted value

Substitute \(x = 5\) into the line of best - fit equation \(y=5.2x - 0.4\).

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Step2: Calculate the residual

The formula for the residual is \(Residual=y_{actual}-y_{predicted}\). Given \(y_{actual} = 24\) (from the table when \(x = 5\)) and \(y_{predicted}=25.6\).

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Answer:

\(-1.6\) (corresponding to the first option)