Question

consider the graph of the line of best fit, ( y = 0.5x + 1 ), and the given data points. which is the residual value when ( x = 2 )?
-2
-1
1
2

Explanation:

Step1: Calculate the predicted value

Substitute \(x = 2\) into the line - of - best - fit equation \(y=0.5x + 1\).

$$y_{predicted}=0.5\times2+1=1 + 1=2$$

Step2: Determine the actual value from the graph

From the graph, when \(x = 2\), the actual \(y\) - value (\(y_{actual}\)) is \(1\).

Step3: Calculate the residual

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

$$Residual = 1-2=-1$$

Answer:

-1