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 predicted y - value

Substitute \(x = 2\) into \(y=0.5x + 1\).
\(y_{predicted}=0.5\times2+1=1 + 1=2\)

Step2: Assume actual y - value from graph

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

Step3: Calculate residual

Residual \(=y_{actual}-y_{predicted}\)
Residual \(=1 - 2=-1\)

Answer:

-1