consider the graph of the line of best fit, ( y = 0.5x + 1 ), and the given data points. which is the…

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

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

Answer

Explanation:

Step1: Calculate the predicted value

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

Step2: Determine the actual value

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

Step3: Calculate the residual

The formula for residual is (Residual=y_{actual}-y_{predicted}) Substitute (y_{actual}=1) and (y_{predicted}=2) into the formula: (Residual = 1-2=-1)

Answer:

-1