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

When \(x = 2\), substitute \(x\) into the line - of - best - fit equation \(y = 0.5x+1\).
\(y_{predicted}=0.5\times2 + 1\)
\(y_{predicted}=1 + 1=2\)

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