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: Find the predicted value

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

Step2: Find the actual value

From the table, when \(x = 3\), \(y_{actual}=-1\)

Step3: Calculate the residual value

The formula for the residual value is \(Residual=y_{actual}-y_{predicted}\)
\(Residual=-1 - 0.8=-1.8\)

Answer:

\(-1.8\) (corresponds to the first option)