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: Find predicted value

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

Step2: Assume actual value from graph

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

Step3: Calculate residual

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

Answer:

-1