Question

the approximate line of best fit for the given data points, ( y = - 2 x - 2 ), is shown on the graph. which is the residual value when ( x = - 2 )? - 2 - 1 1 2

Explanation:

Step1: Calculate the predicted value

The formula for the line of best fit is \(y = - 2x-2\). Substitute \(x=-2\) into the equation:
\(y_{predicted}=-2\times(-2)-2\)
\(y_{predicted}=4 - 2=2\)

Step2: Determine the actual value

From the graph, when \(x = - 2\), the actual \(y\) - value (\(y_{actual}\)) is \(4\) (by observing the point on the graph corresponding to \(x=-2\))

Step3: Calculate the residual

The formula for the residual is \(Residual=y_{actual}-y_{predicted}\)
\(Residual = 4-2\)
\(Residual=2\)

Answer:

\(2\)