Question

kiley gathered the data in the table. she found the approximate line of best fit to be ( y = 1.6x - 4 ). what is the residual value when ( x = 3 )? -1.8 -0.2 0.2 1.8

Explanation:

Step1: Calculate the predicted value

When \(x = 3\), substitute \(x\) into the line of best - fit equation \(y = 1.6x-4\).
\(y_{predicted}=1.6\times3 - 4\)
\(y_{predicted}=4.8 - 4=0.8\)

Step2: Calculate the residual value

The residual value is given by the formula \(residual=y_{actual}-y_{predicted}\).
From the table, when \(x = 3\), \(y_{actual}=-1\).
\(residual=-1 - 0.8=-1.8\)

Answer:

-1.8